{ "cells": [ { "cell_type": "markdown", "id": "c68f371a", "metadata": {}, "source": [ "# Flow-dependent heat transfer coefficients\n", "\n", "By default the heat transfer coefficient between the fluid and the storage is a constant\n", "parameter, `\"Heat transfer coefficient [W.m-2.K-1]\"`. In practice it depends on the flow, so a\n", "value chosen at one flow rate does not hold at another. The option\n", "`\"heat transfer coefficient\"` computes it instead from a Nusselt number correlation, with the\n", "fluid properties from the fluid-property object and the geometry from the family:\n", "\n", "- `\"Gnielinski\"` in the finned-tube models, for the flow inside the tubes;\n", "- `\"Wakao-Kaguei\"` in the packed bed, for the flow around the capsules.\n", "\n", "Every model outputs `\"Heat transfer coefficient [W.m-2.K-1]\"`; with a correlation it also\n", "outputs the surface Reynolds, Prandtl and Nusselt numbers." ] }, { "cell_type": "code", "execution_count": 1, "id": "bb68974a", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T11:16:33.188444Z", "iopub.status.busy": "2026-11-01T11:16:33.188022Z", "iopub.status.idle": "2026-11-01T11:16:34.334605Z", "shell.execute_reply": "2026-11-01T11:16:34.333798Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pybamm\n", "\n", "import pytes" ] }, { "cell_type": "markdown", "id": "ea81df0d", "metadata": {}, "source": [ "The Gnielinski law uses the laminar Nusselt number of a tube at a uniform wall temperature,\n", "3.66, below a Reynolds number of 2300, the Gnielinski correlation above $10^4$, and a linear\n", "interpolation in between." ] }, { "cell_type": "code", "execution_count": 2, "id": "b98d0247", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T11:16:34.336122Z", "iopub.status.busy": "2026-11-01T11:16:34.335878Z", "iopub.status.idle": "2026-11-01T11:16:34.551082Z", "shell.execute_reply": "2026-11-01T11:16:34.550261Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Re = np.logspace(2.5, 5, 200)\n", "fig, ax = plt.subplots(figsize=(6, 4))\n", "for Pr in (1, 7, 50):\n", " Nu = pytes.submodels.Gnielinski(1).nusselt(pybamm.Vector(Re), pybamm.Scalar(Pr))\n", " ax.loglog(Re, Nu.evaluate(), label=f\"Pr = {Pr}\")\n", "ax.set_xlabel(\"Reynolds number\")\n", "ax.set_ylabel(\"Nusselt number\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "1f78ad06", "metadata": {}, "source": [ "The default finned-tube battery runs at a Reynolds number of about 4200, in the transition,\n", "where the correlation gives a coefficient about twice the default constant. Here the battery\n", "is discharged at the default flow rate and at a quarter of it, which is laminar." ] }, { "cell_type": "code", "execution_count": 3, "id": "bd558c00", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T11:16:34.553939Z", "iopub.status.busy": "2026-11-01T11:16:34.553737Z", "iopub.status.idle": "2026-11-01T11:16:36.667702Z", "shell.execute_reply": "2026-11-01T11:16:36.666848Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t = np.linspace(0, 3600, 121)\n", "fig, axes = plt.subplots(1, 2, figsize=(10, 4))\n", "for option, style in [(\"constant\", \"--\"), (\"Gnielinski\", \"-\")]:\n", " model = pytes.SharpFrontModel(options={\"heat transfer coefficient\": option})\n", " for factor in (1, 0.25):\n", " parameter_values = model.default_parameter_values\n", " parameter_values[\"Mass flow rate [kg.s-1]\"] *= factor\n", " solution = pybamm.Simulation(model, parameter_values=parameter_values).solve(\n", " [0, t[-1]], t_interp=t\n", " )\n", " h = solution[\"Heat transfer coefficient [W.m-2.K-1]\"].entries[0]\n", " label = f\"{option}, {factor:g} x flow (h = {h:.0f} W/m2/K)\"\n", " time = solution[\"Time [min]\"].entries\n", " axes[0].plot(\n", " time, solution[\"Outlet temperature [degC]\"].entries, style, label=label\n", " )\n", " axes[1].plot(time, solution[\"Power [kW]\"].entries, style, label=label)\n", "axes[0].set_ylabel(\"Outlet temperature [°C]\")\n", "axes[1].set_ylabel(\"Power [kW]\")\n", "for ax in axes:\n", " ax.set_xlabel(\"Time [min]\")\n", "axes[0].legend(fontsize=8)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "5981e19e", "metadata": {}, "source": [ "In the packed bed of Nallusamy et al. (2007), the Wakao and Kaguei correlation gives about\n", "150 W.m-2.K-1, against the constant 100 of the default set, and fits the measured fluid\n", "temperature slightly better." ] }, { "cell_type": "code", "execution_count": 4, "id": "74526c77", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T11:16:36.669062Z", "iopub.status.busy": "2026-11-01T11:16:36.668921Z", "iopub.status.idle": "2026-11-01T11:16:40.707185Z", "shell.execute_reply": "2026-11-01T11:16:40.706156Z" } }, "outputs": [ { "data": { "image/png": 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8kAYPFFp7QmrXFHD0xv20PKjZLK3rqRlDvxdHV9vUHxQUZNRf9LU16sCYY2rSEZGSA9IQUR8KQiyZUgZVdgLyH15FWeoN/Lb7X8zbHlft6whAM0TyjyRbTPz5vs6+5Rt2YmDEC/B0soGrnUhrdENNZjk0th9AbfYfoD4HhBiOOmVWQAkFsXhKOUozbuPRvXiUpl6HIOcOnErvw0ORCsHjDpCpRWr4VWhxADRJxffvvwCBewAUjv6wcvOHXZNAeDVpApG8EKGdQurE6AF60BNiuSihqIASCmIxGIO6MA2PEmNRcP8ykHkdjkV34K5Mg1UlIycAoIjZIJF541CaHeZvOqWz/8jRY+jfT3dEAkCjBwghNUcJRQWUUBCzUKshf3QbWTfPQpIcB2HODbiVJsKB6c70CADFzAYP+D7ItW0OeaMgCJuEwMGnDTx9W6CJkw0y0g1bpKkcJQeEkJqgYaOE1LKCwgKk3jgD6b2zsMmKhU/pdTiyYvg8UU/J+LgPL2RYt0BZo1YQebWFa/MO8G8WiLZ24irPT1MgE0IsGbVQEGKEQokC127dRP7t07DOjEHT4qsIVCdByNNehErKhLjBC8Aj+2Ao3VrD3q8jvIM6oFkTV2RmpP83PwT1NyCEWChqoSDEhB4VSXDraiyK7kTBPvMSAuU30IuXw+1PLVLjdK4aLq4uUHh2RKl7Z1i36AGfVl3QycVRZzpoQ6aBfhK1OBBCLJHZWygSExMxf/58HD9+HLa2tpg0aRLmzp0LKytNrvPuu+9i3bp1Wse0adMG8fHxel+DWiiIoXKKJbgZfwFFt6PgmHUBIYobcOMVadVRgY8M6xbYctsWi34+DbWaPdOlpwkhxBzqRAvFw4cP0b17dwwePBhxcXGwtbXF999/jwsXLqBnz54ANLPmDRs2DDt37uSOq2rxH0KMlVcqR/yNWyi5dgCuGScRoriOPryS/yrwABlESLdvA6VPd7i1DkOjwO5AdiEW+flB/Xgs57NcepoQQiyZWROKTz75BB4eHti0aRP4fM10wIsWLdKpx+PxuBYLQkyhsEyB80m5uHMjHnb3/0HnstPoy7/3XwUeIIE10hzbgfn2RJN2/eDQvAuaWWl3mkxIiKm1pacJIcSSme0prVarsXfvXnz88cdcMlGVQ4cOwdHREU5OTujduze+/PJL+Pr61lKkpD5Qqxmupxfi5O1HuH/zEvweHUME/yIi+CmaCnxADR7SbFshybEbiuwD0KH3IAT4Nav2vLU1dTQhhFg6syUUjx49QnFxMWxsbBAWFobY2Fh4eXnhrbfewkcffcS1SDRr1gzbtm1DaGgo0tLSMGvWLPTu3RvXrl2r8l2OTCaDTCbjtouKiiqtR+o3lZrhTGIOdselIvvOeXSXn8Vg/kU052dyP/kqCJDn3g027YfDvt0wHP59v0GdJWt7dUlCCLFUZuuUmZ6ejqZNm8LR0RE7duxAr169cOHCBYwaNQpz5szBggULKj0uPz8fnp6e+PbbbzFp0qRK63z22WdYvHixTjl1ymwYEh8V48+YVCRcjkIP6SlECC7Bu8KIDBVfBLl/GGzavQwEDQRsXQDUrLMkDeUkhNRXFj9Tplwuh52dHSZOnIgff/yRK581axaOHDmC69evV3lsUFAQhg0bhpUrV1a6v7IWCh8fH0oo6rGCMjn2XUnH+QtnEZxzCMP4Z+HHf8TtV1nZAoEvQND6JSDwBUDsoHOOqKgo9O2rO4V1VFRUtSttEkJIfWbxozxEIhGef/55nf4TPB6v2lEcRUVFSElJgaenZ5V1xGIxxOKqZxwk9YNCpcbJO9nYE3Mfrgm/YyTvOMbyH3A/1UqBLXgtB0HQ9hUIWvQFhDbVno86SxJCiPHMOnTi448/xrhx4zBy5Ej07NkTFy5cwJYtWzBnzhwAmpaGN998E/PmzUPr1q2RnJyMGTNmwM7ODm+88YY5QydmdCO9EH/FpuFQ3D0MlP2LBVYH4C4oAACoeVZQNusLUccxsAp+ERDZ6X1e6ixJCCHGM/vEVps3b8YXX3yB5ORk+Pj4YOLEifj4448hEAgAAHv27MHy5csRHx8PZ2dn9O7dG0uXLkWLFi30vgZNbFX35ZTIsDsuDX/GpiI1MwvjBEcQafUPXHmahbYU9l4Q9poBtB0F2LkC0PRroKmtCSGkZiy+D0VtooSibmKM4ey9XGy/kIzDNzNhoyrGBMEhTLA6CGdeqaZOI3/wes8B2r0KWIm4Y2sytTUhhJD/UEJRASUUdc+97BJ8tvcGohNy4IIiRFr9gwnCI7BlEk0FtyCg9wdAmxGAQPvNHU1tTQghpmPxnTIJqcyjIimWHLiF/VfT4cbysVD0D960OgaRWgowAB5tgD4fAK1eAviCSs9BU1sTQkjto4SCWATGGP66nIbP992AvTQTn1ntw+vCExAyBaAG4NUR6PMhEPQi8JSZVWm0BiGE1D5KKIjZ3c8uwaK9N3AtIQnzrH7DSOtoCKHUtEj4dAX6fAQE9AP0XBSORmsQQkjtoz4UxGwkchV+iErE+lP3EaROxI+iNfDhZWt2+vcGQj/S/Gvk6rI0WoMQQmqO+lAQi8UYw6EbWfjiwE2k5ZfiPcFuzBDvghVUQKNmwPAfAb/uWscYMwTU29ubEglCCKkllFCQWnU1tQBf7L+Fiw/yIIIC621/wgD1ac3OkGHA0DWATSOtY2gIKCGEWD565UFqRUpeGVYdvoPd8ekAAHerMvzV6Af4FMcBfCtNItHxTZ3jaAgoIYSYF73yIBYhObcMP0Ql4q/LqVCqNbnrxNZ8fJy3HML8BEDsCIz5GWgeVunxNASUEELqBkooyDNxL7sE607ew1+X06B6nEj0DnTDok4yBBx9GyjNBhybAm/8AXi0rvI8NASUEELqBkooiMkoVGqcuJONbeceIDohhyvvE9QYM/oFonPRMWDv+4CiDPBoC7zxO+DoVe05aQgoIYTUDdSHgtQIYww30ovw9+U07L2ShpwSOQCAzwP6tfLA1LAW6ORlCxyaD1zaoDmoRT9g9FZA7KD3dWgIKCGEmAf1oSDPVGahFHvi07ArLg23M4u5cjd7EUZ08sab3fzg42ILZN0ENk4BMq5oKvT+AAifX+W02VWhIaCEEGLZ9E4oJk6caNCJN2zYYHAwxLIpVGocuJqBP2NTceZeDsrbtkRWfAwI8cCITk3RO7AxhAI+oFICp1YCJ5YDaoVmKOjL64GgF8x7E4QQQp4JvV958Hg8jBkzRq+T7ty5E5b0JoVeedSMXKnG35dT8cOJRKTkSbjy5/0b4ZVO3hjU1hNONsL/DkiKBv79CHh0U7Md9CIwdDXg0KR2AyeEEFJjJl++nMfj6Z0kGFK3NlBCYbzLyfn48I8ruJddCkDzSmNsN3+80qmp5pVGRXn3gWNLgBt/a7ZtGgEDvwTajdGaPtuYWS8JIYSYh8n7UOzbt0/vixtSl1gmqUKFVYfvYOPpJKiZJpGYGhaA17v4wkb0RP+HwjQg+ivg8jZArQR4fKDzBKDvp4Cti1ZVmvWSEELqJxrlQXQ8KpZi0rZYxKcUAABe6dQUC4eEwNlWpF0xNRa48CNwY5cmkQCAgP5Av0WAZzud89Ksl4QQUvc8k1EeUqkUBw4cwIgRIyrd/9dff2Hw4MGwtrY2LFpiMVLyyvDaT+eRmi+Bk40QX49uj36tPP6roFIAt/YC59cCqRf/K/frCYR/Avj3rPLcNOslIYTUXwYlFBs2bEBiYmKVCcWpU6eQmZmJd9991yTBkdqVUSjBmHXnkF4ohZ+rLbZO6AJ/NzvNTqUMiPsFiP4aKErVlPGFQJsRQLcpgFfHp56fZr0khJD6i29I5a1bt2LcuHFV7n/rrbewdevWGgdFal+RVIEJmy8hvVCK5m52+H1yd00ywRgQvx34thNwYLYmmbBrDITOBWbdAF5Zp1cyAfw366VAoOmDQbNeEkJI/WFQHwonJyekpaXB3t6+0v0lJSXw9vZGQUGBqeIzCepDUT3GGCb/HIvDN7PQ2EGMXdN6wLuRLVCSDeyeAiQe1VR08AR6zQY6jQOExr/WolkvCSGk7ngmfShUKhWUSmWV++VyOVQqlSGnJBZg05kHOHwzCyIBHxvGPadJJtLjgR2vAcXpgEAMhM0Fuk2rUSJRjma9JISQ+segVx6tW7fGP//8U+X+gwcPonXrqleOJJYn8VExlh+8DQD4dEgrtPdxBpJOAVuGaJIJtyBg8img92yTJBOEEELqJ4MSirfffhuzZs3C8ePHdfYdP34cs2bNMniKbmI+KjXDB39chVypRlhwY4zt5gc8PAdsHwPIiwH/3sDEY4B7S3OHSgghxMIZ9Mpj0qRJOHHiBPr164cOHTogODgYjDHcvXsX8fHxeOONN4yapEilUuHWrVuwtbVF8+bNK62TkpKCrKwsBAUFUT8IE/ntUjLiUwrgILbCslfagpdzV5NMKMo080mM+ZVaJQghhOjFoBYKHo+H7du347fffoOvry+uXLmCa9euwdfXFzt37sQvv/wCXoUplvXx999/w9vbG8OGDcOwYcMwYMAA5OTkcPulUilGjBiB4OBgjB07Fk2aNMF3331n0DWIrvxSOVYeugMAmP1CEDxFUmDHq4CsEPDpCoz+Wa9kIjU1FVFRUUhNTX3WIRNCCLFgBi9fXr5ImL4LhVXn1KlTGDVqFH766Se8/fbbAIATJ04gKysLbm5uAIDFixfj4sWLuHfvHjw9PbF79268/PLL6NKlC7p27VrjGBqq744noqBMgWAPB4zt6gv8OU6zFoeTj6ZlQmT71HPQNNqEEELKmXXq7b59+0IoFOLQoUNV1mnSpAmmTp2KRYsWcWVt27ZFz549sXbtWr2uQ8NGtaXml6HvVychV6mx7e0u6FO0D9g/SzNR1cQjes0rQdNoE0JIw6DvM9SgVx5Hjx5FQEAAAgICcPTo0RoFKJPJcPr0aQwdOhTFxcWIjY1FRkaGVp309HRkZWWhc+fOWuVdunRBXFxctecuKirS+iD/+fZYAuQqNXq0cEVvdwlw6FPNjv6f6T1JVXXTaBNCCGl4DHrlMXXqVPzxxx8AgFGjRtXo4ZGTkwOFQoGrV68iODgYTZo0QWJiIrp3747t27fD1dUVeXl5AABXV1etYyvuq8yyZcuwePFio2Orz1Lzy/D35TQAwAcvBIF3YDKgKAV8u2vmmdATTaNNCCGkIoNaKHJycuDn5wdfX1+tjpPGEAqFAIAjR44gPj4ely9fRlJSEpKSkvDBBx9o1ZFKpVrHSiQSiERPrHxZwbx581BYWMh9pKSk1CjW+uSnU/ehVDP0DHBFJ+lFIOEwIBABQ9cAfP1/HGgabUIIIRUZ1ELx3nvv4aWXXgJjDNOm6f/XbGXc3NxgZ2eHV155Be7u7gA0LQ+jRo3Czp07AQA+Pj7g8/lIS0vTOjYtLQ2+vr5VnlssFkMsFtcovvoov1SO3y5pkqv3+vgBh97T7Og2DWgcbPD5IiMjERERQdNoE0IIMSyhWLJkCS5evAi1Wo1u3brV6MJ8Ph8DBgzQSRZSU1PRuHFjAICtrS169OiBvXv34s033wQAlJaW4ujRo/jss89qdP2G6PeYFMiUarT2ckS3ooNAbgJg66aZBdNINI02IYQQwIhho126dDHZxT///HP07NkTixYtQs+ePXHhwgVs374dv//+O1fniy++wIABAzBv3jx0794d3333Hdzd3TFp0iSTxdEQqNQMv1x4CAB4q6sXeKcftzD1+QCwdjJjZIQQQuoDvV+af/XVV3qfVN+6bdu2xdmzZ5GamooVK1YgKSkJJ0+exMsvv8zVCQ0NRVRUFB4+fIg1a9agdevWOH36dJUrnpLKnUrIRkqeBI7WVhjOPwMUJAN27kDn8eYOjRBCSD2g9zwUPB4P+k5ZYUjd2kDzUADTd8Rh75V0jO/uh89SI4Hs28CAz4GeM8wdGiGEEAv2TJYv79ChQ03jImZQKlPiyM0sAMCbTR4CcbcBkT3QeYKZIyOEEFJf6J1QrFy5Uu+TlnegJJbhyM0sSBQq+LnaokXSBk1h+1cB64bZWkMIIcT09E4oyueGIHXP/qvpAIDXWwnBi/1HU/j8O2aMiBBCSH1j0MRWpO6RKlQ4naiZhGy41VmAqTWribq3NHNkhBBC6hNKKOq5c/dyIVWo4elkDfek3ZrCdjVfKZYQQgipiBKKeu747UcAgNf8isDLuqGZZrv1y085ihBCCDEMJRT1GGOMSyiGWl3QFAa+ANi6mDEqQggh9VGNEorc3FxcunTJVLEQE3uYW4a0AglEAj78Hh3XFIYMM29QhBBC6iWjEoqCggIMHz4cbm5uWlNxDx8+HOfOnTNZcKRmLiTlAgAGehaDn3MH4FsBgQPMHBUhhJD6yKiE4qOPPoJMJsOdO3e0yqdNm4YlS5aYJDBScxfu5wEARtrGawr8ewM2jaqsn5qaiqioKKSmptZCdIQQQuoToxKK/fv3Y926dQgKCtIqf/7553Hy5EmTBEZq7kKSJqFoL3ncf6Ll4Crrbty4EX5+fujbty/8/PywcePG2giREEJIPWFUQpGfn49GjTR/6fJ4PK68pKQEfD7187QEKXma/hPOfAkcc+I0hVW87khNTcWkSZOgVqsBAGq1GpMnT6aWCkIIIXoz6unfuXNn7Nq1C4B2QrF8+XL06NHDNJGRGol5qGmdGO32ADymAlxaAI38K62bkJDAJRPlVCoVEhMTn3WYhBBC6gmDFgcrt2zZMgwaNAinTp0CYwwLFizAoUOHcO3aNXrlYSGuphYCAAaIb2gKAvpVWTcwMBB8Pl8rqRAIBAgICHimMRJCCKk/jGqh6N27N6KjoyGRSBAYGIjffvsNzZo1w7lz57RGfRDzufY4oWhVFqMpaNG3yrre3t5Yv349BAIBAE0ysW7dOnh7ez/zOAkhhNQPRrVQrF27FlOmTMGvv/5q6niICShVatxIL4IncmFfmgzwBIB/r2qPiYyMREREBBITExEQEEDJBCGEEIMY1UIxffp0qFQqU8dCTCQxuwQShQq9RAmaAs92gNjhqcd5e3sjLCyMkglCCCEGMyqhCAkJQWxsrKljISZS3n+iv/19TYEvdZQlhBDybBn1yuPtt9/Gq6++ioULFyIkJAQikUhrf4cOHUwRGzFSef+JDuy2psC3mxmjIYQQ0hAYlVDMmDEDADBhwoRK9zPGjI+I1NjtzCI4ohTuknuaAkooCCGEPGNGJRTZ2dmmjoOYCGMMd7NK0ImfAB6YZv4Je3dzh0UIIaSeMyqhcHNzM3UcxESyS2QolCjQ3upx/wnv580bECGEkAbBqITi6NGj1e7v37+/UcGQmkvIKgEAPC9OBlQAvDqYNR5CCCENg1EJxYAB1S+BTX0ozOduVjEAIARJmgLP9maMhhBCSENh1LBRxpjWh0qlwu3btxEaGkqTXZlZwqMSuKIQLqpsADygSVtzh0QIIaQBMKqF4kl8Ph/BwcHYsGEDXn75Zbz++ut6Hbd//37ExMRolbm7u2PatGkG1SH/ScgqRhv+A82Ga4BeE1oRQgghNWXStcYbN26MpKQkvevv378fv//+e43rEA3GGBIelaAN7/H3gPpPEEIIqSVGtVCkpqbqlOXn52PlypUICQkx6FwhISH47LPPalyHAIUSBQrKFAgRPtAUUP8JQgghtcSohMLHx6fS8qCgIOzYscOgcyUnJ2PFihVwcnJCz5490aZNG6PqEOBhbhkAoJUgXVPg3sqM0RBCCGlIjHrlcevWLZ2PzMxM3LlzB506dTLoXCqVCpmZmTh+/Dg6d+6MTz/91Kg6FclkMhQVFWl9NATJeWWwghK+yNAUuAWbNyBCCCENhlEtFK+++iri4+Mr3dehQ4cq9z1p5syZaNmyJbe9b98+vPTSS4iIiEDv3r31rvOkZcuWYfHixfrdTD2SnFcGP14WrKAChHaAE60aSgghpHYY1UJx5cqVSstVKhVu3Lih93kqJgoAMHToUHh5eeHEiRMG1XnSvHnzUFhYyH2kpKToHVNd9jC3FAG8x6873AIBHs+8ARFCCGkwDGqhOH/+fKWfA4Barca5c+fg6+tbo4AYYygrK6tRHbFYDLFYXKM46qLkvDJ04qVpNhrT6w5CCCG1x6CEonv37pV+Xq5JkyZYs2aNXudSqVS4evUqOnbsyJXt27cPGRkZCA8P17sO+U9ybhlG88tbKILMGwwhhJAGxaCEorhYM62zm5sbcnJytPYJhUKDWgUYY3j33Xfh7OyM1q1bIzk5GXv27MGcOXPwwgsv6F2HaMiUKmQUSREgpBYKQgghtY/HzLzwxvHjxxEXF4dGjRqhR48eOn0m9K1TnaKiIjg5OaGwsBCOjo6mCt2i3MsuQb9VJ3BT/DZseTLg3UtAY2qlIIQQUjP6PkNNMvV2TfTt2xd9+/atcZ2GLjmvDK4o0iQT4AGN/M0dEiGEkAbEqFEeUqkUixYtQkhICOzt7WFtba31QWpfZqEU3rxszYajF2AlMm9AhBBCGhSjEoqFCxfi77//xvz581FaWopffvkF06dPB5/Px4cffmjqGIkeMgul8ClPKJxrNtKGEEIIMZRRrzx27tyJffv2oV27dhg7dixGjBiBkSNHonPnzvj+++9NHSPRQ1ZRhRYKSigIIYTUMqNaKFJSUtC6dWsAgJ2dHQoLCwEAgwcP1llqnNSOTEooCCGEmJFRCQVjDAKBAAAQEBCAI0eOAABiY2Pr7SgKS6fpQ/F4KC8lFIQQQmqZUQmFk5MT9/msWbMwbtw4PPfcc3jxxRcxadIkkwVH9Kf9ysPPvMEQQghpcIzqQ1FQUMB9/tZbb6FFixY4f/48WrZsiSFDhpgqNqInmVKF/DI5vMX0yoMQQoh5GJVQrF27FlOmTOG2e/XqhV69epksKGKYR0UyNEYhrHkKMB4fPMem5g6JEEJIA2PUK4/p06dDpVKZOhZipIodMnkONAcFIYSQ2mdUQhESEoLY2FhTx0KMlFkohScvV7Ph5G3eYAghhDRIRr3yePvtt/Hqq69i4cKFCAkJgUik/Rdxhw4dTBEb0VNWkRTuvALNhkMTpKamIiEhAYGBgfD2pgSDEELIs2dUQjFjxgwAwIQJEyrdb+b1xhqczEIpGj9OKDaeycKk1/ygVqvB5/Oxfv16REZGmjdAQggh9Z5RCUV2drap4yA1kF0iQzAKkFqkxqTvD0Ot1iR0arUakydPRkREBLVUEEIIeaaMSijc3NxMHQepgbxSORrzCpGQq+aSiXIqlQqJiYmUUBBCCHmmjOqUCQA5OTnYuHEjPvnkE67s/PnzNPrDDPLL5HDnFSDQlQ8+X/tbKhAIEBAQYKbICCGENBRGJRTx8fFo1aoVVq1ahaVLl3LlW7ZswdatW00WHNFPfqkCjXkF8HbkY/2KBdy06AKBAOvWraPWCUIIIc+cUQnFnDlzMHv2bNy8eVOrfMqUKfjmm29MEhjRX2GpBK4oAgBETpqKBw8eICoqCg8ePKAOmYQQQmqFUX0oYmJisHv3bgAAj8fjygMDA3H37l2TBEb0I5GrYKPIB9+aaWbJtHODt4OAWiUIIYTUKqNaKAQCAYqLi3XKb9++DRcXlxoHRfSX97j/BADArjHAF5g1HkIIIQ2TUQnFoEGD8Nlnn0GtVnMtFA8fPsTUqVMxdOhQkwZIqpdfKufmoODZe5g3GEIIIQ2WUQnFqlWrcO7cOXh6ekKtVqNt27YICAiAVCrFsmXLTB0jqUZeaYUWCkooCCGEmIlRfSg8PDwQGxuLPXv2ICYmBmq1GvPnz8eIESN0puEmz1Z+mRyNUajZcKCEghBCiHkYlVAAgEgkwqhRozBq1ChTxkMMpGmhyNdsUAsFIYQQMzE6obh//z5++OEH3Lp1C4BmBdL33nsP/v7+poqN6CG/VI4g3uMOsnaNzRsMIYSQBsuoPhT79u1Dy5YtcfLkSfj5+cHPzw8nTpxAcHAw/vnnH1PHSKqRVyaHE0o0GzY0woYQQoh5GNVCMWfOHCxevBjz5s3TKl+2bBlmzZqFQYMG6XWer776ipvPolzz5s2xbds2rbKzZ8/ihx9+QFZWFtq2bYu5c+fCw4Oa9wHNLJnOvPKEopF5gyGEENJgGZVQpKWlYdq0aTrlU6dOxf/93//pfZ7ExEQIhUIsWbKEK7Ozs9Oqc+rUKfTv3x+zZ8/G6NGj8f3336Nnz56Ij4+Hvb29MeHXK7mlMjijVLNBCQUhhBAzMSqhCAkJwZUrV9CnTx+t8itXriAkJMSgc7m6uqJXr15V7v/kk08wfPhwfPnllwCA/v37w9PTE+vXr8fs2bMND76eoRYKQgghlsCoPhRvvPEGRo0aha+//hrR0dE4deoUvv76a4wePRpvvvkm4uPjuY+niYmJwQsvvIBRo0bh22+/hUKh4PaVlZXh7NmzeOmll7gyOzs79O/fH0eOHDEm9HqnsLQMDjyJZsOW+lAQQggxD6NaKGbNmgVA05fiSTNmzNDaZoxVeR4bGxuMGTMGoaGhSEtLw9KlS/Hnn38iKioKAoEAKSkpUKvVaNq0qdZxTZs2xfHjx6s8r0wmg0wm47aLior0uq86SVrw33fR2smckRBCCGnAjEoosrOzTXLxZcuWwdramtsODQ1FSEgI/vzzT4wZM4ZrrahYB9AkInK5vNrzLl682CQxWjKZUgU7VRFgBTCxE3i0jgchhBAzMSqhcHNzM8nFn0wUgoKC4Ofnh/j4eIwZM4ZbaCw3N1erXm5ubrWLkM2bN0+rf0VRURF8fHxMErMlKZEq4VTeIdOW+k8QQggxH6MntgKA0tJS5Ofn65Qbu3S2SqVCbm4ubG1tAQBeXl7cNN9Dhgzh6l28eBE9e/as8jxisRhisdioGOqSYqkSjR5PasWjOSgIIYSYkVGdMuPj49GxY0fY29vDx8dH50Mfcrkcq1at4l5rqFQqzJ8/H6WlpRgxYgRXb8KECdiwYQMyMjIAALt378b169cxYcIEY0KvV0pkShoySgghxCIY1ULx9ttvo02bNvjxxx/h7Oxs1IWFQiFycnLg5eUFb29vpKenw9bWFrt27dIaerpo0SLcuXMHAQEB8PPzw4MHD7BmzRp07drVqOvWJ0VSGjJKCCHEMvBYdcMwqmBtbY3s7Gw4ODjUOACpVIo7d+6gUaNG8Pb2Bp9feaNJcnIysrKyEBQUBCcnw0YzFBUVwcnJCYWFhXB0dKxxzJbi8I1M3N7xMaZb7QaefwcY/JW5QyKEEFLP6PsMNaqFIjAwEMnJyWjdurXRAZaztrZG+/btn1rP19cXvr6+Nb5efaL1yoPmoCCEEGJGRiUUy5cvx/jx47Fo0SK0aNECPB5Pa3/Lli1NEhypnqZTJr3yIIQQYn5GJRQqlQq3bt3C0KFDK91vxFsUYoQSmRLNQAkFIYQQ8zMqoZg5cybeeOMNvP/++0Z3yiQ1R50yCSGEWAqjEorMzEysWrWKVvs0sxKpEs7UQkEIIcQCGDUPRcuWLZGYmGjqWIiBiqVKOPNoHgpCCCHmZ1QLxYgRI/Daa6/h888/R0BAgE6nzA4dOpgiNvIUJVIF7PF4pVFx/RkOSwghpO4xKqH45JNPAACjR4+udD91yqwdCkkJ+LzHX2txzecEIYQQQoxl1tVGSc2opJpl2RmPD57QxszREEIIacjMutooqRkm0ywMphLaw+qJ106EEEJIbTKqUyYA5OTkYOPGjdzrDwA4f/48VCqVSQIjepBpRngwEY22IYQQYl5GrzbaqlUrrFq1CkuXLuXKt2zZgq1bt5osOFI1xhgECk0LBfWfIIQQYm5GJRRz5szB7NmzcfPmTa3yKVOm4JtvvjFJYKR6EoUKtqwMAMCnhIIQQoiZGdWHIiYmBrt37wYArSGjgYGBuHv3rkkCI9UrkSphBykAgG9DQ0YJIYSYl1EtFAKBAMXFxTrlt2/fhosLrXpZG4plStjzNHNQ8KgPBSGEEDMzKqEYNGgQPvvsM6jVaq6F4uHDh5g6dWqVC4YR0yqWKmH/uIWCJrUihBBibkYlFKtWrcK5c+fg6ekJtVqNtm3bIiAgAFKpFMuWLTN1jKQSJVIl7HmaPhQQUwsFIYQQ8zKqD4WHhwdiY2OxZ88exMTEQK1WY/78+RgxYgREIpGpYySVKJP/14eCRnkQQggxN6MSig4dOiA+Ph6jRo3CqFGjKt1Hni2JQgWHx30oQH0oCCGEmJlRrzyuXLlSablKpcKNGzdqFBDRj0SuohYKQgghFsOgForz589X+jkAqNVqnDt3Dr6+vqaJjFRLolDBG+V9KCihIIQQYl4GJRTdu3ev9PNyTZo0wZo1a2oeFXmqMrkK9jxqoSCEEGIZDEooyueecHNzQ05OjtY+oVAIsVhsushItaQKFexBfSgIIYRYBoMSCnt7zYNLKpU+k2CI/srkKthRCwUhhBALYfRqo8S8JBVbKCihIIQQYmZGDRt9VpRKJfh8Pvj8//IctVoNtVqtVY/H40EgENR2eBZFKlP8N2yUEgpCCCFmZjEtFHPmzIFQKMTs2bO1yqdNmwaRSARra2vuo3PnzmaK0nKoZKX/bVAfCkIIIWZmVELRoUMHo/ZV5d9//8XBgwcRFBRU6f5XXnkFSqWS+6CJswDINB1k1TwBILQxczCEEEIaOrNPbJWRkYF33nkHv/zyC2xs6MGoL568BACgsrIDKiwhTwghhJiDWSe2UqvVePPNNzFjxgx07Nixynr//vsvxGIxHB0d0bt3b6xcuRItWrQwJPR6hy8vAgCohPYQmjkWQgghxKwTWy1duhRqtRpz5sypsk5QUBD+/PNPhIaGIi0tDTNmzEBoaCiuX78OZ2fnSo+RyWSQyWTcdlFRkd4x1RV8haYPhZr6TxBCCLEAZpvY6uLFi1i9ejW3Wmn5SA7GGJRKJaysNKFV7KQZGBiIHTt2oEmTJti5cycmT55c6bmXLVuGxYsXG3JrdQ5foZl2mwntzBwJIYQQYsaJrWJiYlBQUICAgACuTKVS4erVq/jhhx8gk8kqHRrq5OQEHx8fJCYmVnnuefPmaSUiRUVF8PHxqXHMloSv0nwPeNQhkxBCiAUwethoTk4ONm7ciE8++YQrO3/+PFQqlV7HT5s2TWvkhlKpRPv27TF9+nQolcoq55nIz89HcnIymjZtWuW5y/tbVPyobwRKTQsFT2Rr5kgIIYQQIxOK+Ph4tGrVCqtWrcLSpUu58i1btmDr1q0mC04mk2Ho0KE4e/YsCgsLce3aNYwePRpOTk544403THadukatZrBSa/qI8MX0yoMQQoj5GZVQzJkzB7Nnz8bNmze1yqdMmYJvvvnG6GCsrKy0WibEYjHee+89fPrpp/D398ewYcPg5eWFS5cuoXHjxkZfp66TKFSwhSahEIiphYIQQoj5GTX1dkxMDHbv3g1AMw12ucDAQNy9e9foYGJiYnTKIiIiEBERYfQ56yOJQgVrXnlCQaM8CCGEmJ9RLRQCgYAb8VHR7du34eLiUuOgSPUk8v9aKKhTJiGEEEtgVEIxaNAgfPbZZ1Cr1VwLxcOHDzF16lQMHTrUpAESXRKFCjaPEwqIqA8FIYQQ8zMqoVi1ahXOnTsHT09PqNVqtG3bFgEBAZBKpVi2bJmpYyRPkMhVsOHJNRvUQkEIIcQCGNWHwsPDA7GxsdizZw83MdX8+fMxYsQIiEQiU8dInlAmr9BCIaROmYQQQszPqIQCAEQiEUaNGoVRo0aZMh6iB6mCEgpCCCGWRe+E4vTp03qftFevXkYFQ/RTJlfBjVeeUNArD0IIIeand0LRu3dvvU/KGDMqGKIfiUIFazzuQ0GdMgkhhFgAvRMKiUTyLOMgBpDIldywUWqhIIQQYgn0HuVhbW3NfXTr1k1r+8l95NmSKFSw4V55UAsFIYQQ8zNq2OiVK1cqLVepVLhx40aNAiJPVyav8MqDWigIIYRYAINGeZw/f77SzwFArVbj3Llz8PX1NU1kpEoV1/KghIIQQoglMCih6N69e6Wfl2vSpAnWrFlT86hItSQyJWx5NFMmIYQQy2FQQlG+foebmxtycnK09gmFQojFYtNFRqqklJX9t0EtFIQQQiyAQQmFvb1mZUupVPpMgiH6UcsrJhQ0sRUhhBDzM2qmzKNHj1a7v3///kYFQ/TDHicUKr4IAr7AzNEQQgghRiYUAwYMqHY/TWz1jCkeJxQCa1A6QQghxBIYNWyUMab1oVKpcPv2bYSGhuLXX381dYzkSQrNJGMqK3rdQQghxDIYlVDonITPR3BwMDZs2EDLl9cCvlLTQqG2og6ZhBBCLINJEopyjRs3RlJSkilPSSrBe/zKg1ELBSGEEAthVB+K1NRUnbL8/HysXLkSISEhNQ6KVE+gfLyuCg0ZJYQQYiGMSih8fHwqLQ8KCsKOHTtqFBB5Or7qcUIhohYKQgghlsGohOLWrVs6ZY0aNYKHh0eNAyJPJyhPKGgOCkIIIRbCqISiZcuWpo6DGECokgECgE8tFIQQQiyEwZ0yGWPYsWMHhgwZguDgYAQFBWHo0KHYsWMHzT9RC1RqBqFaM1MpX0zreBBCCLEMBiUUKpUKo0aNwuuvv46cnBx069YN3bt3R3Z2Nl5//XWMHj0aKpXqWcVKAMiUKm5hMAG1UBBCCLEQBr3yWLNmDS5cuIBz586hW7duWvvOnTuH0aNH49tvv8WsWbMMDiQ3NxeXLl2Cv79/pa9Ubt26haysLLRq1apB99WQKtSwebx0ucDa3szREEIIIRoGtVBs3rwZ69at00kmAM1y5mvXrsXmzZsNDkKtVmPMmDEYMmQI1q5dq7WvtLQUERER6NGjBz788EP4+/vjyy+/NPga9YVUoeISCr6Iho0SQgixDAa1UCQkJKBv375V7u/bty/u3r1rcBDLli2Dg4MD2rRpo7Nv4cKFuHv3LhISEuDm5oZDhw5h4MCB6NWrF3r16mXwteo6qUIFG55csyGkPhSEEEIsg0EJhVgsRnFxMaytrSvdX92+qpw9exbr1q3D5cuXK12ldNu2bZgxYwbc3NwAABEREejYsSO2bt3aQBMKNWwft1DQxFYNC2MMSqWS+ikRQkxKIBDAysoKPB6vRucxKKHo0qULfvrpJ8yfP7/S/T/99BO6dOmi9/kKCgrwxhtv4KeffuIShopSU1ORk5ODjh07apV37NgRV65cqfK8MpkMMpmM2y4qKtI7JkuSmpqKhIQEBAYGwtvbGwAgUahgzSUU1CmzoZDL5cjIyEBZWZm5QyGE1EO2trbw9PSESCQy+hwGJRTz5s1DREQEHj16hJkzZ8LPzw8A8PDhQ6xevRo//PADDh8+rPf5IiMjMWzYMERERFS6v6CgAADg4uKiVe7q6or8/Pwqz7ts2TIsXrxY7zgs0caNGzFp0iSo1Wrw+XysX78ekZGRkFV85UGjPBoEtVqNpKQkCAQCeHl5QSQS1fgvCUIIATQtn3K5HNnZ2UhKSkJgYCD4fOOW+TIooejbty82bNiAd999F2vWrOFeb0ilUtjZ2WHjxo0IDw/X61x//fUXjh07hi1btuDgwYMANK9MHj58iIMHDyIiIoLLlCQSidaxZWVl1WZR8+bNw+zZs7ntoqKiKqcLt0SpqalcMgFoHiiTJ09GREQEpEohnOmVR4Mil8uhVqvh4+MDW1tKIgkhpmVjYwOhUIiHDx9CLpcb3HWhnMEzZb711lsYMmQI9u7dy3XADAoKwksvvQRXV1e9zyMSidCtWzetUR3Z2dmIi4vD6tWr8cILL8DHxwcCgQApKSlax6ampsLf37/Kc4vFYojFYsNuzIIkJCRwyUQ5lUqFxMRESF2DK7zyoE6ZDYmxfzUQQsjTmOL3i1FTb7u6umLChAk1uvDQoUMxdOhQrbIOHTogLCwMq1evBqDJmvr06YPdu3fjrbfeAgAUFhbi6NGjWLZsWY2ub8nKm5wqJhUCgQABAQG4+Oi/ia2ohYIQQoilsPg/eZYuXYp///0X77//PrZv344hQ4bAx8cHkZGR5g7tmfH29sb69eshEAgAaJKJdevWwdvbW2tiK4iohYKQumDYsGHYtWsXAGD16tUYPHiwmSMiprJ9+3aMGTPG3GFYBItKKHr27IlWrVpplXXr1g3nzp2DTCbDzp07ERoaijNnztT7d8mRkZF48OABoqKi8ODBAy6BkipUsEb5PBTUQkFIdX788cdKh6PX5rl37dqFO3fuYNiwYQCAkpIS5ObmPpOYqhMbG4uJEyeiadOmmDNnTqV17t69i5dffhn+/v54/vnnsWnTJqPqVKzbpEkTxMbGapW/+uqr8PLy4jrel3vuued0Wp//+ecfhIaG6nmXlSsuLsaKFSvQq1cvBAQEYPDgwTh58mSldSteb+fOnWjSpInW/tzcXISFhSEiIgKFhYUYNWoUzp8/j0OHDtUoxvrAohKKH374AZMnT9Yp79ixI9avX489e/bgiy++0Bn1UV95e3sjLCyMGzIKADK5DGKeUrNBw0YJqVZpaSlycnLMeu6VK1di0qRJZu0Dc+nSJUyaNAldunSBt7c3CgsLdeoUFBQgLCwMtra22L9/P95//31MnToVW7duNahORYGBgVCpVDh27BhXplQq8c8//0ClUuHUqVNc+cOHDxEbG4tOnTppnWPXrl147rnnanT/H374IfLz87F8+XIcPHgQXbp0Qb9+/bSuX9n1JBIJsrKyuH2pqano3bs3lEoldu7cCScnJwiFQowfPx6rVq2qUYz1AmsACgsLGQBWWFho7lBq7Lt/Yhlb5Kj5kEvMHQ6pBRKJhN28eZNJJHXv+33x4kU2bNgw5u/vz3r16sV2796ttX///v2sd+/ezMfHh3Xv3p39/vvvWvu/+eYbNmjQIPbjjz+yHj16sMDAQBYZGckKCgq4Ounp6Wz8+PEsODiYdejQgS1YsIBJJBL222+/MQcHB2ZlZcU8PDyYh4cH27p1K9u9eze33bx5czZkyBB26dIlg65b1bmflJiYyACwpKQkrmzJkiWsa9eu1d6TqalUKu7z0NBQFhkZqVNn5cqVzMnJiclkMq7s/fffZwEBAQbVedLIkSPZwIEDue1z584xDw8PNmfOHDZz5kyufPPmzUwoFLKSkhKuTK1WMy8vL3b8+HHGmOb78uKLL7Ivv/ySde/enTVr1oy98847rLCwkC1btoy1bduWBQcHs08//VTrnit+Xq5r1646X4cnr7d582ZW/pi8ffs28/X1ZYMHD2ZlZWVax8XFxTEej8cyMjKq/DpYuup+z+j7DDWqUyYxH5WsFADAwAPPqu6OZCHGY4xBojDPbJk2QoHec2CcP38eYWFheP/99/HFF1+gsLAQK1euRO/eveHi4oLo6GgMHz4cX375JYYOHYqjR4/ijTfegK2tLdfHoKSkBP/++y8cHBywbt06SCQSjBs3DnPnzsWPP/4IAJgwYQLEYjH+/PNP8Hg87NmzB5s3b8b48eNx8+ZN/PXXXzh69CgAwMnJCTweD/Hx8QA0TeE7duzglg0ob95+2nVfeumlSs/9pFOnTsHNzU1nVNrFixfh7+9f5T09KTo6GqNGjar26/3BBx/ggw8+qHSfPq0jp06dQp8+fbSG5EdEROC7775DRkYGPD099arzpPDwcHz88cdQKpWwsrJCVFQUQkNDERYWhk8//ZSrFxUVhS5dusDO7r++YZcvX0ZpaSl69+4NQPN9OXjwIFxcXLBhwwZkZ2dj5MiROHToEPr164edO3ciLS0NI0aMQFBQEMaOHVvl/ctkMp3pB568XrnY2Fi8+OKLGDhwIDZt2gQrK+1HZ9u2bWFtbY2TJ0826P4UlFDUMWq5JqFQ8G0gosmNGiSJQoWQheZ5X3vz8wjYivT7tbFo0SJERERg5cqVXFnPnj3BGAMAfPHFFxg1ahT3Pj8oKAhXrlzBkiVLtDotOjs7Y+vWrdxQ8Pfffx/ffPMNt//69etYuXIltxZQ69atwRgDj8eDg4MDrKysdN6Dl283adIECxcuxIEDB/D3339j2rRpel3XxsamynNXlJycXOlD9mn39KSuXbtySVBV7O1rtvpwWlqazuuG8pWd09PT4enpqVedJ4WHh6OkpASXLl1C9+7dERUVhZdffhm9e/fGjRs3kJubC1dXV5w4cYIbzVdu//79iIiI0HqAN2rUCBs3buS+diNGjMDu3buxfv16WFlZoVWrVhg6dCiOHz/OJRRP+u2333DlyhV89913T71e+T288sor2Lx5c6UJtUAggIeHBx4+fFjp9RoKi+pDQZ6OyTVTLysFxk08QkhtuXDhAgYMGKBTXv4L+erVqzp/CYaGhuLatWtaZS1atNCaV8bd3V2r78Krr76K6dOnY+7cuThy5AhkMlm1rSgSiQSLFy/G888/D29vbzRp0gRXrlzBgwcPDLquPpRKJTdaqybnFolEaNKkSbUfNU0oGGM6D9Ly7fL1Y/Sp86RWrVqhSZMmiIqKgkKhwJkzZxAWFgYnJye0bdsWJ0+exL1795CcnKwzMeL+/fsxZMgQrbLmzZtrfe3c3NwQGBioFZebm1uVX8+zZ88iMjISixcv1lkPqrLrAZplJw4fPlzt4pcCgQBKpbLK/Q0BtVDUNVxCQSM8GioboQA3P698uvrauLa+lEpltRPMyeVynSZnkUgEhULBTTkPoNIHcnkrBwB89dVXGDJkCPbv348PPvgAaWlp+OWXXzBw4MBKrztnzhycOXMGK1euREBAAGxtbTFmzBjI5XKtek+7rj68vLzw6NEjnXJDz13TVx76aNy4sc5DODs7G4Am4dG3TmXCw8Nx4sQJhIaGwsHBgRvNFxoaihMnTiA/Px/W1tbo3r07d0xmZibi4+MxaNAgrXNV9rXT9+t54cIFvPjii5g+fToWLFigta+q6wHAvn37MHz4cISFheHYsWMICQnRqZOdnQ0vL68qvgINAyUUdQxTaKYhV1tRC0VDxePx9H7tYE6tW7fGhQsX8M4771S6Pzg4GHFxcVplly9fRkBAgMEjIsLCwhAWFgYAmDZtGhYuXIiBAwfCyspKZ9bZo0eP4sMPP8QLL7wAQJP4JCYm6ixC+DSVnftJ3bp1Q3p6OjIzM6t9NfI0tfHKo0uXLti0aRP3ugjQ9Kvw8PDg1m3Sp05lwsPDMXPmTBw6dEhrCGhoaCgWLFiAvLw89OjRQ2vK5wMHDqBLly4GzcBcnYsXLyIiIgJTpkypdGLE6q5nY2ODvXv34pVXXkF4eDiOHTvGvWIDNLMbFxUVoWfPniaJta6iVx51DE+haaFQW1ELBbFsH3zwAbZt24YdO3ZApVKhuLgYixYt4hb2mz59OrZs2YITJ04A0HTi/PHHHzFjxgyDrjN+/HjcunVL01lVIkFaWhr38G7atClSU1NRUlLC1ffx8cHhw4chl8shk8nwwQcfID093eD7q+zcT+rQoQMCAwPx77//Gnz+imrjlUdkZCTy8/OxbNkyKJVKXLt2DWvXrsW0adO45EGfOpUJDw9HWVkZ/ve//3GJHwD06dMHN2/exL///qvX6w5jxcbG4oUXXsCUKVOwfPnySus87XpisRi7du1Ct27dEB4ejqtXr3L7Dh48iPbt2yMwMNAk8dZVlFDUMTylpoWCWdEcFMSyjRo1CmvXrsVHH30EOzs7+Pv7QyAQcKMhXn31VcyfPx8vv/wy7Ozs8MILL2DatGlVtmhU5YUXXsDIkSPh6OgIFxcXSCQSfP/99wCAIUOGoF27dmjcuDGaNGmCbdu2Yc2aNbh58yacnJzQqFEjJCUloUePHgbfX2XnfhKPx8PMmTPx008/GXx+U1KpVFzicfbsWWzfvh1NmjTResXg7++PXbt24aeffoKDgwO6dOmC1157DZ988olBdSoTEBAAb29vblKoci4uLmjTpg3y8vLQt29frlwmk+Ho0aMmSygWLFiAwsJCbNmyRSsJe+WVVwy6nkgkwp9//ok+ffqgb9++XKvRpk2bMHPmTJPEWpfxmKEvBeugoqIiODk5obCwEI6OjuYOp0a+/WohppesQY5nKNwm7zV3OKQWSKVSJCUloVmzZkavAmhuBQUF3JDNJ6nVam7/k+/CS0tLIZPJtCazk8lkKCws1HlnX1paCrFYrNNpsPyYgoICODo6wsZG07pXVFTELSRYUFAAgUAABwcHg69b2bkrUiqVaN++Pb7++mtEREQYdG5TyszM1CmzsrKCm5ubTnlBQQHs7OwgFAqrPJ8+dSrKz8+HTCbTefVTUFAAqVQKd3d37lXXoUOHMHnyZJ2OspV97UpKSiCXy7XKiouLoVKp4OzsrHXtJ4lEIri4uFR5PYlEgsLCQp2YVSoVsrOzYW1tjRMnTuDzzz9HTExMnV7Ar7rfM/o+Qy3/RSzRwn/cQkErjZK6pPwXe2X4fH6Vs9/a2dlpzUsAaJqeK3vwPlnvyWPKhzeWq/iL8cn4DLluZeeuyMrKChcuXOA6CRpyblMypA9Hdd8vQ+pU1KhRI73Ps3///krXO6nsa1fZq57yxPBp137a9WxsbCpNEgUCAff17Nu3LwYMGFCnkwlToYSijrFSSTWfiKgPBSF1RU37NzQ0n3/+ebUjhCzpenW91duUKKGoYwQqTQsFj9bxIITUU09rUajr16uvqI2mjilvoRCI6ZUHIYQQy0EJRR3CGINQrWmhEFpTQkEIIcRyUEJRh0gUKlhDM5uf0IbeyRJCCLEclFDUISUyJWygeeVhRa88CCGEWBBKKOqQMpkKNo9bKPiUUBBCCLEglFDUISUyJWx5jydnEdKwUUIIIZaDEoo6pFSmhDXKEwoaNkoaptOnT2P27NnmDqPO+OWXX/Dtt98+td6CBQu4peM3bNiA9evXP+vQSC3ZsmULdu3a9cyvQwlFHVIqV3KvPCihIJbswYMHGD9+PJKTk7XKv/32W7z99ts6S4XPmzcPO3bs0OvciYmJ+P33300WqyFu3ryJ8ePHcwuclVu7di0mTZpk1CJjz9r58+dx/Pjxauvs27cPf/75J7cs9+nTp3Hq1KnaCE9LWVkZNm3ahAkTJuDAgQM6+0+fPo3x48frfDw5rfapU6ewYMECzJgxA5s2bdL5eavowoULmDBhAqRSqVb5p59+qpO4qtVqvPPOOzpfz2PHjmHlypWG3q4OfeOueL2///4bH3/8sdZ+uVyOjz/+GPPmzYNCoUDHjh0xZcoUFBQU1DjG6lBCUYeUyFSwpRYKUgd4enpi586dOHz4sFb5ihUr8Ouvv+LixYtcWUFBAVasWFHbIRolPT0dW7duRWlpKVc2b948zJkzBy+//DK8vLzMGF3lxo4di+nTp1db5/PPP8f06dN11lKpTSdOnEBAQABOnTqF3bt3c60lFSUmJmLv3r3ccvXlHxXjfu2117Bw4UKIRCI0a9YM33zzDZ5//vkqV4V1c3PDli1bcP78ea6suLgYy5cvxw8//ICMjAyu/MqVK9iwYYPO1N7r1q2DRCKp0f0bEnfF612+fBl//fUXt6+kpASDBw/GX3/9hXfeeQdCoRDt27dHSEgI1q5dW6MYn4ZmyqxDymRK2JT3oRBRQkEsl1gsRvfu3REVFYWJEycCAO7evYv8/HyMHj0aUVFR6NWrFwDNX2VqtRphYWFISEjA//3f/wEArK2tERgYiLfffvupMxmuWbMGaWlpWLJkCQ4fPsz9gnVyckKnTp3w5ptv6jwsExMTsW3bNmRlZSEwMBCRkZEGzZioUqkwZcoU/PXXXzhy5Ai3Yum+ffv0un5sbCx+/fVXWFlZITw8HCUlJUhOTsacOXMAAKtXr4a7uztef/117pidO3ciNTWVqwMA2dnZ2LJlC+7duwcfHx+8/vrraNasGbc/ISFBZzXPiuLi4nD58mWd5A/QtG4cOHAAJSUlGDp0aJXnMIXAwEDcvHkTzs7O8Pb2rrKera0txo8fX+X+JUuWICAggNseN24cfHx88PPPP2Pq1Kk69Vu0aAFfX19ERUVxK6FGR0cjICAA7u7uOHHiBF577TUAQFRUFPc9LadQKHD48GHMnTsXgOZ1kVqtRkBAAI4fP47CwkKMHDkSoaGhOHbsGPbt2weRSISxY8eibdu2Bsf95PUqys3NxYsvvgi5XI7Tp09rrd/y6quvYsWKFZUeZyrUQlGHlEgVcMTjv4ysncwbDCFP0bdvX0RFRXHbUVFR6NGjBwYMGKBT3qpVK3h6esLJyYn7q7N9+/Y4efIk2rRpo/OKoRxjDNOnT8fXX3+NiRMnQiwWw8/PjzuHn58fVq1apbMs9aVLl9C+fXskJiYiJCQEe/bsQceOHau8zpNkMhlGjx6Nf/75B6dOndJa/lyf6588eRLdu3dHQUEBmjZtioULF2L69Ok4cuQIV+fo0aNaLTnlcVesc+vWLbRr1w7Xr19Hu3btkJmZiY4dO2r9tf20Vx5Hjx5Fq1atdJKpI0eOYMaMGXB1dYVQKMTAgQOxb9++Ks8TFRVV6euIih/nzp2r8vimTZvqteBYSUkJZs6ciVmzZmHr1q1QKBRa+ys+lAHNEukuLi7Izs6u8pzh4eE6P5NhYWEIDQ3VKe/Tp49WchgdHQ07Ozt07NgRgOa1zPz58zF//ny4u7tDoVAgPDwcr7/+OhYtWoTmzZsjJycH3bp1Q0pKisFxP3m9cikpKejVqxesra1x8uRJncXgevfujfv37+PevXtVfh1qiloo6hCZpAwinkqzQQlFw8UYoCgzz7WFtkAlS5BXJjw8HAsWLMCdO3cQHBys9Ut68uTJkMlkEIvFiIqKQnh4OADA3d1d66/PqVOnokePHli/fr3Oe2KFQoHx48cjLi4OZ86c4f6qbdeuHdq1a8fVe/vtt+Hl5YULFy6ga9euAIA5c+Zg2LBh2L59OwBg2rRpCAkJwZdffonly5c/9d5GjhyJkpISnDlzBv7+/lr79Ln+vHnzMG7cOGzYsAEA8M477+icRx/vvfce3nzzTa33946Ojpg7dy5OnDih1zlu376t1aJRzsrKClFRUbC11bSGZmVlYcuWLRg6dGil5/Hy8uL+wq9Kdauy6qt169Zo2rQp5HI5PvvsM3zzzTc4c+ZMlavN/vPPP0hNTa22dSU8PBw7duyARCKBjY0NoqKi8OGHH8LNzQ1TpkwBoGmRio6OxqJFi7SOLV+plFfh/0X5z3X5SqWXLl3CuXPncOfOHYhEIgDA2bNn8ccff1TZwbiquCu7XkFBAXr27IkOHTpg586dla6QWv49vnXrFlq0aFHl16ImKKGoZampqUhISEBgYGC1zXqVUUnyAABqCMAX0UyZDZaiDFhqpnf189MBkX5zoHTp0gV2dnY4ceIEgoODcfLkSbz//vvw8/ODh4cHzp8/j7Zt2+Lq1atYsGABd9yNGzfw559/Ii0tDXK5HLm5ubh9+7bWueVyOYYNG4bc3FxER0fD1dVVa/+hQ4dw4sQJPHr0CCqVCkKhELdv30bXrl2hVCpx7tw5rffOQqEQI0aM0PshnJmZCU9PzypXmqzu+gqFAhcuXNC6Z1tbW7z44ovIysrS6/oAUFpaihMnTkAoFGLixIlgjIExhgcPHiA+Pl7v8xQXF1f6MO7evTuXTABAcHAw9uzZU+V5goODERwcrPd1jTFo0CC89dZb3MN0ypQpaNmyJZYvX47PP/9cp35CQgLGjRuHqVOncq/YKhMeHg65XI6zZ8/iueeeQ3x8PEJDQ+Ho6Ijk5GSkpqYiMzMThYWFlT7gv/rqK62y7t27az3UW7RogVatWnHJBAA0b94caWlplcZTXdyVXU8ul0MqlcLV1bXKVVNtbGwgEAhQXFxc5dehpsyeUFy/fh1HjhxBSUkJWrdujZdeeglWVv+F9ddff+k0k3l6emq9Q6wrNm7ciEmTJkGtVoPP52P9+vWIjIzU+3gmKQAAyKzsYaPnX4mEmItQKETPnj25ZuKioiJ06dIFABAWFoaoqCjk5eVx2wCwZ88ejBkzBpGRkWjXrh3s7e3x4MEDnV+CUqkUsbGxGD16tE4yMWfOHOzYsQMTJkxAly5dIBaLcfDgQe4ceXl5UCqVOse5ubnh0aNH3PaUKVO4nv+tW7fGhx9+yO3bt28fxo0bh759++Lo0aNwc3Mz6PpqtRouLi5a13dxcTEooSgoKIBarUbHjh21HuR9+vSpto/Bk1xdXXH//n2dcmtra61tPp8PlUpV5XmioqKwdevWaq81efJkdO/eXe/YnuTu7q617erqir59+2q94il3//599O3bFwMGDMB3331X7Xl9fX3RvHlzREVFoaysDIGBgdwrg+effx4nTpxARkYGXF1dtVqfEhISkJKSgv79+2udr7Kvnb5fz+rirup67u7u2LJlCwYNGgS1Wo3NmzeDz9fu0VBcXAyVSqXzc29KZk0oPv74Yxw/fhx9+/aFlZUVPv74Y3zxxRc4efIk14v2yJEjOHv2LMaNG8cd9yy/IM9Kamoql0wAmuFHkydPRkREhP4tFZJCAIBc6Aia1qoBE9pqWgrMdW0DhIeHY/Xq1ejduzd69OgBoVAIAAgNDcWWLVuQl5eHdu3acf+n169fj3fffRerVq3izvHbb7/pnNfR0RGHDh1CeHg4hEIhvv76awCaPhXr16/H9u3buaZ5lUqFd999lzu2cePGsLGxwYMHD9CzZ0+uPCkpCX5+ftx27969uffzT47eaNKkCU6cOIF+/fqhb9++OHbsGBo3bqzX9d3d3SEWi5GcnMy9AgGgM8RWLBbrDBus2MfDzc0NYrEYvr6+BiUQT+rQoUO1fSP0VVuvPJ5UVlYGxphWWVJSEsLDw9GjRw/88ssveo1eKe9HUVZWpnUf5f0oMjIyEBYWpvWqYd++fQgPD9dqyamJp8Vd3fV69eqFQ4cOYeDAgVAqldi2bZvW8devXwePx9Ppe2FKZk0oxo4dq/W+cubMmWjSpAn279/P9aoFgKCgIHzwwQfmCNFkEhISuGSinEqlQmJiot4JBU+mSSiUosqbWUkDwePp/drB3Pr27Yt58+Zh7dq1ePXVV7ny0NBQTJkyBRkZGVodFnk8ntZD8/z58zh69CiGDx+uc+7WrVtzf5DweDwuCXnyHN988w3Kyv7rc8Lj8TBixAj88MMPGDFiBKytrZGamoodO3ZgyZIlXL033nij2ntzd3dHVFQU+vfvj7CwMBw/fhzu7u56XX/YsGH48ccfMXz4cAiFQiQmJuKff/5BaGgoVy8wMBAHDx7kWjSzsrKwb98+boSBWCzGmDFjsGLFCgwfPhyenp4ANH+Jnjx5UqcjaFVefPFFTJs2jXsVa6zaeOWxZ88eDB48mGvFvnDhAg4fPqz1HHn48CHCwsLQrVs3/Prrr3oPhe3bty+2bduG3NxcLF68mCsPDQ3FpEmTkJeXhy+//FLrmP3792PkyJEmuDP94n7a9bp3744jR44gIiICb7zxBn755Rfua3XixAl06dIFjRs3Nkm8lTFrQtGmTRutbZlMBsaYTk/f+/fvY+HChXByckLv3r25ZtO6JDAwEHw+XyupEAgEOj17qyOQFQEAVJRQkDqic+fOcHR0xPXr17X+6mvevDnc3d2RkJDAdcgENK8LhgwZggcPHsDW1hbnz5/nJluqTJs2bbSSiq+++grz58/H5MmTsXv3bmRnZyMjI0OnqXz58uUYMGAA2rRpg3bt2iE6Ohq9evXC5MmTDbo/Nzc3HD9+HAMGDEB4eDiOHz+u1/W//PJL9OnTB+3atUPLli0RGxuL1q1baz1E3nvvPfz888/o2LEjAgICcPXqVZ2Om99++y1Gjx6NkJAQ9O7dG1KpFHfv3sXChQv1vgdfX18MHToUW7duxRdffGHQ/ZtSRkYG5s2bB0DTEvPHH3/g9u3baNu2LfeK+9q1a5gzZw7atGmDsrIynDp1CpGRkXjvvfe484waNQoZGRkQiUTckGVAkxhMmDChyuuHh4dDoVDgzp07Woldjx49kJaWBqVSqfWzWlRUhNOnT2PLli0muf+nxa3v9bp06YJjx45hwIABeO2117Bjxw5YWVnh559/fqZDRgEL6ENx584d/PTTTygqKkJ0dDQWL16MF198kdvP4/G41x83b97EJ598gilTpmD16tVVnlMmk2nNnFZUVPTM4teXt7c31q9fj8mTJ0OlUkEgEGDdunUGdcy0UmhaKJi18zOKkhDTEggE2L59O7Kzs3X+ENi0aRPS0tK0fkmHh4cjISEBZ8+ehVAoxNatW3H37l2t/8+9evXCN998w223adMG0dHROHfuHB49eoS5c+diyJAhuH79OlxdXdGnTx/8888/aNWqFXeMl5cX4uPjER0djczMTMyfPx/PPffcU++ndevW2Lx5s1b/BxcXFxw9ehR79+5FQkKCXtdv1qwZbt26hWPHjkEoFGLdunWYPXu2VkLh7e2Nmzdv4vTp0+Dz+ejatSvu37+v1frh5OSEQ4cO4erVq7h58ybc3Nzw/PPPw8npv1FgY8eO1ZqIqzJffPEF+vXrhw8//BBOTk5cJ8+KBg8erPNHoCnZ2tpySWfF5LNp06bc559++ikmTZqECxcuQCAQYOPGjfDx8dE6z9y5cyv9nR8UFFTt9T09PbnZWisOubS3t8fOnTtRUlKi9T08ePAgWrZsCV9fX63zVPa1mzp1Kve6r9ysWbO0Jsh6WtxVXW/EiBFa82IAQKdOnXDmzBmcP38eSUlJuHXrFgQCwVNb3WqMmVlSUhJbuXIl+/jjj1nz5s3ZsGHDWElJCbf//v37WvWPHDnCALBjx45Vec5FixYxADofhYWFz+w+9JWSksKioqJYSkqKwcdu+r8pjC1yZJk/T3oGkRFLJZFI2M2bN5lEIjF3KMRE0tLSWEJCArd97949Zm9vz7Zs2WK2mP7991+d37ekamPHjmXz5s2rE9eLiopiN27cqLZOdb9nCgsL9XqG8hh7IpUyo4KCAgQFBWHmzJmYP39+lfV8fHwwceJEnfHA5SprofDx8UFhYWGVw7zqgu2fv4nX1fuQ3XYyGo+oG1MVk5qTSqVISkpCs2bNdHqKk7opOzsb/fv3h4eHB8RiMU6cOIHhw4djy5YtZp3+muhv9+7d6NSpk06LQV29XnW/Z4qKiuDk5PTUZ6jZX3lU5OzsjFatWuHmzZvV1lMqlTqLwVQkFourHItbl9moigEeILDTf3pgQojlady4MTfZUW5uLlasWKHVnE4sX2UdhevT9Yxhtqm35XK5ztjhhw8fIi4ujhvWolQqcfr0aa06v//+OzIzMzFgwIBai9USMMZgq9a8BxVSQkFInScSiRAaGopXXnmFkglSL5ithYLH42H+/PlQq9UICQlBQUEBDhw4gP79+3Njtnk8HhYtWgSFQoHWrVsjOTkZx44dw6JFi7Q6cjUEEoUKDo/X8RDauzylNiGEEFK7zJZQCIVCHD9+HBcvXkRcXBzs7OzwySefoHXr1lwdgUCAY8eOcXXCw8Pxv//9T2vymYaiVKaCE0+TUIiohYIQQoiFMXsfii5dujx1Xgl96tR3pTIlHKGZHIdvSwkFIYQQy0LLl9cRJTIl10JBK40SQgixNJRQ1BGFZTLYQ6LZoISCEEKIhaGEoo7Iyn4EPu/xlCGUUBBS50RHRxu0rDghdY3Z+1AQ/eRma5ZVlvPEEFnVvzk2CKnvli9fjpYtW6JDhw7mDoWQZ4JaKOqIgvwcAJqlywkhhBBLQy0UdYQqP0Xzr42bmSMhRD83b95Eeno6evfujStXriAzMxPdunWDu7s7ZDIZzpw5A7lcju7du2stZlXu3r17uH79Otzd3dGxY0et6YCTk5Nx9uxZAICdnR1atWpV6cq9WVlZiIuLg42NDZ577jnY2WmWfY+Li0NJSQl69+6tdb3bt29j8ODBOvGXLzw2evRoAIBarcbFixeRlZWFgIAAreHu5QoLCxEdHY1GjRpxk/URUp9RQlFHOBcnAABUjWlGPWK81NRUJCQkIDAw0KCVbo3x999/Y8OGDRCJRPD390dOTg7u3r2L77//HsuWLYO/vz8yMjKQn5+P8+fPc6tKqlQqTJo0CXv37kXXrl2Rnp6OoqIi7Nmzh3twp6WlYffu3QCA4uJinD59Gq+//jp+/PFH7vo///wzpk2bhq5du4LH4yE5ORlbtmxB9+7dsXXrViQmJmolFEeOHMFXX33FJRR///03Nm7cCEdHR7i6usLd3R2jR4/Gw4cP8dJLL0EulyMwMBCXL19G586d8ccff0AkEgEAYmJiMHDgQHh5eaFx48ZISUmBlZUVWrZs+Uy/5oSYlVFLl9Ux+q6UZqkkciXb9+kAxhY5stLjq8wdDqllplptdMOGDYzP5zMAjM/nsw0bNpgowsotWbKE8Xg8dvz4ccYYY2q1mvXu3Zvx+Xx25swZxhhjKpWKderUSWsVxRUrVrC2bdtq/X/94IMPWNeuXau8VkpKCmvUqBE7evQoVxYQEMD+97//cduZmZncdWfMmMEGDx6sdY4ff/yRtWjRQit+AGzXrl1a9Xr06MFmzpzJ1Go1Y4yx0tJS1q5dO7Zs2TKuTufOndn48eO5On/88QcDwObMmVPNV4wQ8zHFaqPUQlEHpBVI0JKneeVh493WzNGQuig1NRWTJk2CWq0GoGmynzx5MiIiIp5pS0VgYCA3TT6Px0PXrl1RWFiIHj16AAD4fD66dOmCu3fvcsds3rwZnTt3xuHDh8EYA2MMLi4uuHjxIkpLS7nXFjKZDDExMcjIyIBSqUTTpk1x8eJF9OvXDwBgY2ODW7duQS6XQyQSwcPDAx4eHgbF7+Pjo7Uo0927d3H27Fm8+uqr+Ouvv7j4WrRogaioKMydOxeJiYmIjY3F1q1bwePxAAAjR45E8+bNjf46ElIXUEJRB6Rl56MHLxMAwPPQfVdLyNMkJCRwyUQ5lUqFxMTEZ5pQNGqkPaurWCyutEwqlXLbDx48gJOTE/7880+teqNHj4ZEIoGdnR3Onz+P4cOHw8XFBQEBAbC1tUVeXh4ePXrE1V+/fj2mTJmCxo0bo1evXnj55Zcxfvx4WFnp/2vP09NTa/vBgwcAgFOnTmktMy4SiRAUFARA078DAPz9/bWObdasmd7XJaQuooSiDihOvQErnhqlfAfYOXg+/QBCnhAYGAg+n6+VVAgEgko7Mpqbo6Mjhg4divnz51dZ56OPPsKYMWOwZs0arqxbt25gjGltx8fHIzU1FYcPH8Znn32Gy5cv43//+5/O1wKAVlJTrryFoWJsALB48WKEhIRUGpurqysAID8/n2tNKd8mpD6jYaN1QGnKVQBAtm0L4IlfcITow9vbG+vXr+f+qhYIBFi3bt0z75hpjIEDB2Lz5s2QyWRa5WlpadznmZmZCA4O5rbv37+PuLi4Sut7e3vj7bffxjvvvIPz588DAJo2bYp79+5p1Y+KinpqbJ06dYK7uzvWrl2rsy89PR0AEBwcDDc3N67TKKAZQXLlypWnnp+QuoxaKIxUW73ls4tlcHp4BOADoqbUf4IYLzIyEhEREUhMTERAQIBFJhMAsGzZMvTu3RtdunTBhAkTIBQKcebMGRQVFWH//v0AgOHDh2PJkiVQKpVQqVRYvXo1bGxstM7Tv39/9OnTB8899xyKiorwww8/YMaMGQCAUaNGYcGCBZgwYQJ69eqF48eP49y5c1wLRFVEIhE2bNiAUaNGISsrC/3790dOTg727t2LcePGYerUqbC2tsaSJUswc+ZMPHr0CO7u7vj222+fem5C6jpKKIywceNGroMbn8/H+vXrERkZafLryBRKRP2+BqP5F6ECH56hE01+DdKweHt711oi0bp1a51Whnbt2nFDK8t16tQJXl5e3Lanpyfi4+Oxbds2xMTEwN7eHsOHD8fIkSO5OsuWLUNgYCDOnTsHOzs7bN68GTExMWjSpAlXJy4uDj///DMuXboEGxsbbNq0CYMGDQIA+Pr64uLFi9i0aRNiY2MxePBgjB8/HgcOHKg2fgAYOnQorl+/jp9//hmnT5+Gj48PvvvuOzz33HNcnSlTpsDLywt79uxBWVkZNm3ahLNnz3JDYwmpj3is4kvHeqqoqAhOTk4oLCys8V8Jqamp8PPzhVr935eNzwOiZ7WEp5NQqy4P/9VhlZT9V69ijcdlTA0HdTEa8YoBAEmtpqDZmOU1ip3UTVKpFElJSWjWrJnW5E6EEGIq1f2e0fcZSi0UBtL0ltd++KsZIM9NRjMHE385eUAZrJHiMxRBryw27bkJIYQQE6KEwkCV9Zbn8/lQDv0W190102LzALDKOk/yeOChYjnviT6W/23w+DzYObrAs3lrBFvbm/QeCCGEEFOjhMJA5b3lJ0+eDJVKxfWW7z/C9H0oCCGEkLqCEgoj1JXe8oQQQkhtoYTCSLXZW54QQgixdDSxFSF1RAMYkEUIMRNT/H6hhIIQCycUaoYjl5WVmTkSQkh9Vf77pfz3jTHolQchFk4gEMDZ2Zlb+MrW1lZnjQlCCDEGYwxlZWV49OgRnJ2dtRa9MxQlFITUAeUzQFZcTZMQQkzF2dlZa6ZZY1BCQUgdwOPx4OnpCXd3dygUCnOHQwipR4RCYY1aJspRQkFIHSIQCEzyH58QQkyNOmUSQgghpMYooSCEEEJIjTWIVx7l42uLiorMHAkhhBBSt5Q/O582V0WDSCiKizVLgPv4+Jg5EkIIIaRuKi4uhpOTU5X7eawBTL+nVquRnp4OBwcHk43fLyoqgo+PD1JSUqpdH74uqW/3VN/uB6B7qivonuqG+nZPz+p+GGMoLi6Gl5cX+Pyqe0o0iBYKPp//zNbdcHR0rBc/iBXVt3uqb/cD0D3VFXRPdUN9u6dncT/VtUyUo06ZhBBCCKkxSigIIYQQUmOUUBhJLBZj0aJFEIvF5g7FZOrbPdW3+wHonuoKuqe6ob7dk7nvp0F0yiSEEELIs0UtFIQQQgipMUooCCGEEFJjlFAQQgghpMYooTBCcXExYmJi8ODBA3OHYpSysjLEx8cjLS2tyjqMMdy4cQNXrlyBSqWqxehq5ubNmzh9+jTkcrnOPoVCgbi4ONy6dcsMkRknLS0N8fHxld4PAJSWliI2NhZJSUm1HJlxMjIyEBsbi4cPH1ZZJzc3F5cuXUJmZmYtRqYfxhguX76M+Pj4KusoFArEx8fj1q1bVU5VrE+d2qJUKnH+/HncuXOnyjqPHj1CfHw8CgsLq6xT/rN4//79ZxGmQUpLS3HmzBkkJydXW48xhrNnz1b5/czPz8elS5eQnp7+DKI0TE5ODk6fPo2cnJwq6zDGcOvWrWq/l5mZmbh06RJyc3NNHyQjBvnpp5+Yra0tCw4OZnZ2duzFF19kJSUl5g5LLxkZGeytt95iTk5OrEOHDqxRo0asZ8+eLCkpSaverVu3WFBQEPPw8GDe3t7M29ubXbhwwTxBG+Dy5cvMxsaGAWApKSla+44fP848PDyYv78/c3V1Ze3atWMPHjwwU6RPl5aWxvr168ecnJzYc889x5o1a8b++ecfrTrbtm1j9vb2LCgoiNnb27P+/fuzwsJCM0Vcvby8PNavXz/m4ODAOnfuzFxcXFinTp10fvYWLlzIxGIxCwkJYWKxmEVGRjKVSmWeoJ/w9ddfs6CgIObs7Mzat29faZ2TJ0+yJk2aMD8/P+bm5sbatGnD7t+/b3Cd2lBSUsIWLFjAfHx8mIODAxszZoxOndOnT7MePXowd3d31qFDB2ZjY8MmT57MlEqlVr1ff/2VOTg4sKCgIObg4MDCw8NZQUFBbd0KJz09nb3//vvM09OTicVitmjRomrrL1++nPH5/Eq/n//3f//H/SxaW1uzsWPHMoVC8WwCr8bNmzfZ2LFjmaenJwPAduzYUWm9Y8eOMX9/f+bj48M6dOjAunXrxh4+fMjtVyqVLDIykllbW3P/vxYuXGjSWCmhMMDVq1cZn89n27dvZ4wx9ujRI+bv78/ef/99M0emn/Pnz7OtW7dy/ymKi4tZnz59WO/evbk6arWatWvXjg0fPpz7RR4ZGcl8fHyYVCo1S9z6KC4uZsHBwezDDz/USSgKCwuZq6sr++ijjxhjjMnlchYeHq5135ZELpezdu3asRdeeIEVFxczxhjLzc3V+kVy+/ZtZmVlxTZt2sQY0zywAwMD2TvvvGOWmJ9m9uzZzMfHh+Xm5jLGGCsrK2OdOnViI0aM4Ors3r2bCYVCdubMGcaY5h6dnJzYmjVrzBJzRUqlks2cOZPdvn2bzZkzp9IHUHFxMWvcuDGbPXs2Y4wxhULB+vfvz7p3725QndqSlJTEPvvsM5aWlsYGDx5caUKxefNmdvbsWW775s2bzNnZmS1fvpwrS0hIYEKhkK1fv54xxlh+fj4LDg5mEyZMePY38YQzZ86wNWvWsPz8fNaiRYtqE4oLFy4wPz8/9uabb+p8Pw8ePMgEAgGLiopijDF279495uLionXfteWvv/5iW7duZcXFxVUmFNevX2disZgtXbqUK4uNjWXnzp3jtlevXs2cnZ3ZnTt3GGOMRUdHMysrK7Znzx6TxUoJhQFmz57NAgICtMq+/PJL5uTkpJOx1xUbNmxgVlZWXPJw8eJFBoDFxMRwdR48eMAAsH379pkrzKcaO3YsmzlzJjty5IhOQrFt2zYmFApZfn4+V3bw4EEGgCUkJJgh2ur9+uuvjMfjVduCMn/+fObt7a1Vtnr1amZra2uRid/YsWNZ//79tcoiIyNZnz59uO2XXnqJDRw4UKvOxIkTq2wNMJeqEort27czgUDAcnJyuLKjR48yAOzWrVt61zGHqhKKygwfPpwNHTqU2164cCHz9PRkarWaK/v++++ZtbU1KysrM3ms+qouoSgoKGAtWrRghw8fZjNmzND5fo4ePZqFhYVplb333nssODj4GUX7dAqFosqE4rXXXnvq/5N27dqxKVOmaJX179+fDRs2zGQxUh8KA8TFxaFz585aZV26dEFhYaFFvDc0xqVLl9CsWTNuwZe4uDjw+Xx07NiRq+Pn5wd3d3fExcWZK8xq/fLLL4iPj8eXX35Z6f64uDg0b94czs7OXFmXLl24fZbm2LFjaNeuHXx9fXHjxg3cvn0bCoVCq05VP4tlZWW4e/dubYarl9mzZ+PGjRtYunQpjh07hu+++w779+/HwoULuTpV3dP169d17t8SxcXFwd/fH66urlzZkz9n+tSxZAqFAleuXEFAQABXFhcXh06dOmktvNilSxdIpVLcvn3bHGE+1aRJk/DSSy9hwIABle6v6mfx7t27KCsrq40QDXLs2DEMGTIEEokEsbGxSElJ0dqvUChw48aNSu/JlD93DWJxMFPJy8tDq1attMrKfzHk5eWZI6QaOXbsGDZs2IDNmzdzZXl5eXB2dtZZUc7V1dUi7zEhIQGzZs1CVFRUlbPD5eXlaf0CB8DdoyXeU3p6Ouzs7NCjRw8UFRWhrKwMMpkMGzZswKBBgwBo7ql169Zax1nyz2JISAjGjh2LFStWoEWLFkhKSsLw4cO5hylQ+ffJ1dUVKpUKRUVFOvssTWXxOzg4QCgUct8TfepYsnnz5iE3NxfTp0/nyvLy8tCiRQutepb8s/jTTz/h9u3b2LZtW5V1qvpZZIwhPz8ftra2zzpMvalUKjx69AgpKSkIDg6Gq6srHj58iJYtW+K3336Dr68vCgsLoVKpKr0nU36PqIXCAEKhEFKpVKtMIpEAAEQikTlCMtqlS5fwyiuv4IMPPsDYsWO58sruEdDcpyXeY2RkJAYNGoSCggKcPn0a169fB6C5v/KRD5Xdk1wuh1qttsh7EgqFOHv2LKZPn44bN24gKSkJ48aNw2uvvYb8/HyuTl36WZwxYwZ2796NxMRE7i+oe/fu4bXXXuPq1LV7elJl8SuVSiiVSi5+fepYqlWrVuGHH37An3/+CX9/f668Ln3fMjMzMXPmTEydOhWXLl3C6dOnkZ6ejtLSUpw+fZobxVKX7kkgEIDP5+PAgQM4deoU4uLikJycDLVajcmTJwPQ3A+ASu/JlPdDCYUB/Pz8dIZalm/7+vqaIySjxMTE4IUXXsA777yj85rAz88PZWVlKCgo4MqUSiUePXpkkffo4eGBe/fuYe7cuZg7dy42btwIAFi2bBn27dsHoO593/z9/eHo6Kj1sJ08eTKKiopw5coVAHXvnvbv349XX30Vbm5uAAA7OzuMHz8e//77L/c6o6p7cnZ2hoODQ63HbCg/Pz+kp6drDQMt3y7/nuhTxxKtXr0an376KXbt2qXzmqAu/SxKJBJ07NgRv/zyC/c748yZM8jIyMDcuXORkJAAoOp7srW1tciWMj8/P0RERHCJnr29Pd544w1ER0cD0Cw97uzsXOk9mfJ7RAmFAQYMGIBTp05pjcXes2cPOnbsaJE/ZJWJjY3FgAED8Pbbb+Orr77S2R8WFgahUIi9e/dyZUeOHEFZWRn69+9fm6Hq5Y8//sDp06e5j2+++QYA8Pfff3PNsgMGDEBWVhYuXrzIHbdnzx7Y29uje/fuZom7OhERETpJXWpqKgCgcePGADT3dPbsWa0x6Xv27EGrVq3QtGnTWo1XH40bN+buoVxKSgqcnZ25v54GDBiAf/75R2vekz179lT5ntvSDBgwADk5OTh37hxXtmfPHtja2qJnz55617E03377LebNm4e///4bAwcO1Nk/YMAAXLhwAY8ePeLK9uzZg8DAQPj5+dVmqE/VrFkzrd8Xp0+fxqhRoxAQEIDTp0/jueeeA6C5p4MHD2r13dmzZw/69eun8zrYEkREROgkC6mpqdzvCwDo378/90cWoPlD8cCBA6b9/2Wy7p0NgEQiYSEhIaxPnz5s9+7dbOHChUwgELB///3X3KHp5datW8zFxYWFh4ez6OhorQ+5XM7VmzdvHmvUqBHbuHEj++WXX1jTpk3Z22+/bcbI9VfZKA/GGHv55ZdZQEAA++2339j//vc/Zmdnx1asWGGmKKunVqtZv379WGhoKNu7dy/bsWMHCwoKYkOGDOHqyGQy1r59e9ajRw+2a9cu9vnnnzOBQMB2795txsirtnnzZiYQCNhnn33GDh8+zL7++mtmb2+v1Qs/PT2dubu7s5EjR7K9e/eyyZMnM1tbW3bt2jXzBV5BXFwci46OZq+++ioLCAjg/u9UHOE1atQo1rx5c7Zjxw62du1aZm9vrzWUT986teXMmTMsOjqa9ejRg/Xr149FR0drzTmzYcMGBoB98sknWr8v4uPjuToKhYJ16tSJdevWjf3999/s//7v/5hAIGB//vlnrd+PVCrlYmzatCmbMGECi46OZlevXq3ymMpGeWRnZzMvLy82bNgwtnfvXvbee+8xa2trFhsb+4zvQFd+fj6Ljo5mJ06cYADYZ599xqKjo1liYiJX5+HDh8zNzY3NnDmTHTp0iH311VfMxsaG/fjjj1ydq1evMltbWzZlyhS2d+9eNmLECObu7s4yMjJMFiutNmqgnJwcLF++HHFxcXB1dcWUKVMQHh5u7rD08u+//+L//u//Kt23d+9euLi4ANDMtrZx40bs3r0bSqUSAwcOxHvvvQcrK8vvwxsTE4OZM2di165dWtm5TCbD6tWrcfz4cYjFYowZMwZvvPGGGSOtnkQiwTfffIOTJ0/Czs4OYWFhmDJlitb7zvz8fCxfvhwxMTFwcXHBO++8Y9F/zR85cgS//vor0tLS4O7ujuHDh2PkyJFaowOSkpKwYsUK3LlzB76+vpg1axbat29vxqj/M2HCBK5JvKKDBw/C3t4egKZvzpo1a3D06FGIxWKMGjVKq4+SvnVqS79+/SCTybTKXF1dsWfPHgDAggULEBUVpXNcy5YtsWHDBm67oKAAy5cvx6VLl9CoUSNMnDgRERERzzb4SmRmZmLkyJE65R07dsR3331X6THffvst4uLitDqnA0BycjKWL1+O27dvo2nTppgxY4bOKInacOHCBcyZM0enfPjw4fjggw+47fv37+Orr77CnTt34OXlhTfffFPne3DlyhV88803SE5ORnBwMD766CM0a9bMZLFSQkEIIYSQGrO8l0GEEEIIqXMooSCEEEJIjVFCQQghhJAao4SCEEIIITVGCQUhhBBCaowSCkIIIYTUGCUUhBBCCKkxy5+piBBSqzIzM3Hq1CmMHj261q99//59bor01q1bo23btkafy5j7yMnJwdGjRwEAPj4+FjsdNiGWiBIKQhqI3NxcHDlypNo6nTt3xr179/D666+bJaE4fvw4ZsyYgaFDh4LP59cooYiPjzf4PnJzc7F7927ExMSgQ4cOlFAQYgBKKAhpIPLz87F7925uOyYmBnl5eXjhhRe4MhcXF3h6emLMmDFmiFCjcePG+O2332p8HmPuIzg4GL/99humTJmitfAaIeTpKKEgpIEICAjQelBPmTIFMTExOg/vzMxMDBs2jNtOTU3FxYsXMXz4cFy7dg0PHz5Eu3bt4O/vD5VKhQsXLiAvLw/PP/88PDw8dK6bkZGBmJgYODg4oFOnTnB0dDQobmOv7+HhUel9vPzyy7h27RqSk5PRunVrk65lQEhDRgkFIUTLk68Kzp8/j7feegtt2rSBSCQCn8/HmTNnsHr1amzbtg02NjZQqVS4du0ajh49iueff54715IlS7Bq1Sp069YNZWVluH37NrZv347+/fvrHY+x16/qPnr06IHS0lLY29vj5MmTWLt2LSZMmGDCryAhDRON8iCEPFVZWRkmTJiA6OhonDx5EuPHj8f777+PadOm4eTJkzh9+jRefPFFLFu2jDtm3759+P7773H16lUcPHgQp06dwrJlyzB27FhIpdJnfv2qzjN8+HCcPXsWhw8fxtKlSzF37lyjviaEEG2UUBBCnkogECAyMpLb7t69O6ytrTFu3Ditsrt373LbmzdvRuvWrXHx4kX88ccf+P3332FlZYXMzEzcunXrmV+/qvNMmjSJ2w4LC8OjR49QUFBgUDyEEF30yoMQ8lT29vYQCoXctlgshpOTE/h8vlZZxZaHBw8eQCaT4c8//9Q615gxY7SOe1bX1/c8AAxuMSGE6KKEghDyTDg6OsLX1xfbtm0zdyiEkFpArzwIIc/EwIEDsWfPHmRkZGiVp6WlmSkiQsizRC0UhJBnYsaMGdi/fz+6du2KadOmwcXFBZcvX8apU6dw8+ZNc4dHCDExaqEgpIF6/vnnERERoVP+5IRQPj4+GDFihFYdf39/DB8+XKssICAAQ4YM4bZtbGwQFRWFpUuXIikpCZcvX8Zzzz2Hy5cvVxtXaWkpfvvtN1y7dq1G19fnPpydnTFmzBjY2NgA0Ey9/dtvv+HevXvVxkgI0cVjjDFzB0EIIQAQFRWFdevWAQBeeeWVWp/++86dO1i0aBEAoFu3bpg5c2atXp+QuowSCkIIIYTUGL3yIIQQQkiNUUJBCCGEkBqjhIIQQgghNUYJBSGEEEJqjBIKQgghhNQYJRSEEEIIqTFKKAghhBBSY5RQEEIIIaTGKKEghBBCSI1RQkEIIYSQGqOEghBCCCE19v+a3aBL5u102AAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t_end = 160 * 60\n", "t = np.linspace(0, t_end, 321)\n", "t_data, T_data = np.loadtxt(\n", " \"data/Nallusamy2007_HTF_1L.csv\", delimiter=\",\", skiprows=1, unpack=True\n", ")\n", "fig, ax = plt.subplots(figsize=(6, 4))\n", "for option in (\"constant\", \"Wakao-Kaguei\"):\n", " model = pytes.PackedBedModel(options={\"heat transfer coefficient\": option})\n", " solution = pybamm.Simulation(model).solve([0, t_end], t_interp=t)\n", " h = solution[\"Heat transfer coefficient [W.m-2.K-1]\"].entries[0]\n", " ax.plot(\n", " solution[\"Time [min]\"].entries,\n", " solution[\"Outlet temperature [degC]\"].entries,\n", " label=f\"{option} (h = {h:.0f} W/m2/K)\",\n", " )\n", "ax.plot(t_data, T_data, \"ko\", markersize=3, label=\"measured\")\n", "ax.set_xlabel(\"Time [min]\")\n", "ax.set_ylabel(\"Outlet temperature [°C]\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "48ccc61d", "metadata": {}, "source": [ "Under an experiment that adjusts the flow rate, such as a constant power discharge, the\n", "coefficient follows the flow." ] }, { "cell_type": "code", "execution_count": 5, "id": "fd2d5ea7", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T11:16:40.708536Z", "iopub.status.busy": "2026-11-01T11:16:40.708395Z", "iopub.status.idle": "2026-11-01T11:16:41.499790Z", "shell.execute_reply": "2026-11-01T11:16:41.498952Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model = pytes.SharpFrontModel(options={\"heat transfer coefficient\": \"Gnielinski\"})\n", "experiment = pytes.experiments.Experiment(\n", " [pytes.experiments.step.Power(4000, inlet_temperature=283.15, duration=1800)]\n", ")\n", "solution = pytes.experiments.run_experiment(model, experiment)\n", "fig, axes = plt.subplots(1, 2, figsize=(10, 4))\n", "time = solution[\"Time [min]\"].entries\n", "axes[0].plot(time, solution[\"Mass flow rate [kg.s-1]\"].entries)\n", "axes[0].set_ylabel(\"Mass flow rate [kg/s]\")\n", "axes[1].plot(time, solution[\"Heat transfer coefficient [W.m-2.K-1]\"].entries)\n", "axes[1].set_ylabel(\"Heat transfer coefficient [W/m2/K]\")\n", "for ax in axes:\n", " ax.set_xlabel(\"Time [min]\")\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "5f64ab0e", "metadata": {}, "source": [ "## A correlation of your own\n", "\n", "A correlation is only its Nusselt number: the family supplies the geometry (here the tube\n", "diameter, and the mean velocity in a tube) and the fluid-property object the properties.\n", "`register_correlation` adds a function of the Reynolds and Prandtl numbers, as PyBaMM\n", "symbols, as a value of the option for the models of its flow geometry, `\"tube\"` or\n", "`\"packed bed\"`. PyTES adds its own correlations the same way. `replace=True` lets the cell\n", "run again.\n", "\n", "Here the Dittus-Boelter correlation, for a fluid being heated, is compared with Gnielinski\n", "at four times the default flow, where both apply ($Re > 10^4$).\n", "`conformance.check_model` (in `pytes.conformance`) runs the contract on the model, energy conservation\n", "included, and returns its solution." ] }, { "cell_type": "code", "execution_count": 6, "id": "745db365", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T11:16:41.501351Z", "iopub.status.busy": "2026-11-01T11:16:41.501217Z", "iopub.status.idle": "2026-11-01T11:16:47.232413Z", "shell.execute_reply": "2026-11-01T11:16:47.231511Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "HeatTransferCoefficientOptions('tube'): ['constant', 'Gnielinski', 'Dittus-Boelter']\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Gnielinski: Re = 16977, h = 12813 W/m2/K\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Dittus-Boelter: Re = 16977, h = 12106 W/m2/K\n" ] } ], "source": [ "from pytes import conformance\n", "\n", "\n", "def dittus_boelter(Re, Pr):\n", " return 0.023 * Re**0.8 * Pr**0.4\n", "\n", "\n", "pytes.submodels.register_correlation(\n", " \"Dittus-Boelter\", dittus_boelter, flow=\"tube\", replace=True\n", ")\n", "print(pytes.SharpFrontModel.allowed_options[\"heat transfer coefficient\"])\n", "\n", "for option in (\"Gnielinski\", \"Dittus-Boelter\"):\n", " model = pytes.SharpFrontModel(options={\"heat transfer coefficient\": option})\n", " parameter_values = model.default_parameter_values\n", " parameter_values[\"Mass flow rate [kg.s-1]\"] *= 4\n", " solution = conformance.check_model(model, parameter_values)\n", " Re = solution[\"Surface Reynolds number\"].entries[0]\n", " h = solution[\"Heat transfer coefficient [W.m-2.K-1]\"].entries[0]\n", " print(f\"{option}: Re = {Re:.0f}, h = {h:.0f} W/m2/K\")" ] }, { "cell_type": "markdown", "id": "ef2a22cf", "metadata": {}, "source": [ "A law that is not a Nusselt correlation, such as a wall resistance in series or a\n", "nonlinear law, goes to the coupling through the composition API instead (see [composing models](composing_models.ipynb))." ] } ], "metadata": { "kernelspec": { "display_name": "pytes (3.14.4)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.14.4" } }, "nbformat": 4, "nbformat_minor": 5 }