{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "52ea0d77",
   "metadata": {},
   "source": [
    "# Periodic Steady State"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0b9198b4",
   "metadata": {},
   "source": [
    "*How deep do we have to dig to store something a constant temperature?*"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "de50ed9a",
   "metadata": {},
   "source": [
    "We look at the solution of the heat equation where the boundary condition is $\\sin(\\omega t)$, for all values of $x$ at the surface."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "82ae6612-988c-4388-aef6-8c24b58dfefa",
   "metadata": {},
   "outputs": [],
   "source": [
    "using SymPy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "7637298d-f9e6-4eb0-9a8f-411bf12fdaa0",
   "metadata": {},
   "outputs": [],
   "source": [
    "using Plots"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "71f0b0d9",
   "metadata": {},
   "source": [
    "## 1. A Symbolic Computation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3da0b1de",
   "metadata": {},
   "source": [
    "With ``SymPy`` we can obtain a solution of the decoupled problem."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "6a024c67",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$x$"
      ],
      "text/plain": [
       "x"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = Sym(\"x\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "190f3e03",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\omega$"
      ],
      "text/plain": [
       "omega"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "omega = Sym(\"omega\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "0d80ddb1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$y$"
      ],
      "text/plain": [
       "y"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y = SymFunction(\"y\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "3ada0691",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$- i \\omega y{\\left(x \\right)} + \\frac{d^{2}}{d x^{2}} y{\\left(x \\right)}$"
      ],
      "text/plain": [
       "                  2      \n",
       "                 d       \n",
       "-I*omega*y(x) + ---(y(x))\n",
       "                  2      \n",
       "                dx       "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ode = diff(diff(y(x), x),x) - sympy.I*omega*y(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "d588f176",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$y{\\left(x \\right)} = C_{1} e^{- x \\sqrt{i \\omega}} + C_{2} e^{x \\sqrt{i \\omega}}$"
      ],
      "text/plain": [
       "                _________           _________\n",
       "           -x*\\/ I*omega        x*\\/ I*omega \n",
       "y(x) = C1*e               + C2*e             "
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dsolve(ode, y(x))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c744acc5",
   "metadata": {},
   "source": [
    "## 2. Running a Simulation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f5b9cb6a",
   "metadata": {},
   "source": [
    "The main independent constants are below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "2c213663",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0e-6"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "alpha = 1.0E-6 # thermal diffusion constant"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "3077756f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "86400"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "P = 24*3600 # 24-hour oscillation period measured in seconds"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "48879e65",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "T0 = 10 # temperature at the surface in Celsius\n",
    "A = 10 # maximum amplitude variation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "9cd2b034",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7.27220521664304e-5"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "omega = 2*pi/P"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "a302b723",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.16583719174624104"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "delta = sqrt(2*alpha/omega) # depth of penetration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "874d639e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "T (generic function with 1 method)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "T(x, t) = T0 + A*exp(-x/delta)*cos(omega*t - x/delta)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "de156fee",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\" />"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "T1(x) = T(x, 1*3600)\n",
    "plot(0:0.01:delta*5, T1, xlabel=\"depth\", ylabel=\"temperature\", label=\"the 1st hour\", ylims=[0, 20])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "25aba254",
   "metadata": {},
   "outputs": [],
   "source": [
    "# savefig(\"figtemphour1.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "64468a00",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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bdve9wCmrNgraXoo+1II+/01fvJhvbctvduJe8wHc48AAKZlqihyc3Nzc3Or1chxXGhoaGhoqIk2agEULD0bzD7Tkv0pjf9Xgt7Fmv7Tnh0agKMUAACmgm/YxohlKCaQTR6pmNaWnXWc/79tuoOYLAUAMA0EYePFMRQXxCaPVLwUwk48pI/epTtVgDgEAGhgCMLGjmVobEv20ijFiObsU3v1Q/fozt1GHAIANBgEYdOgZGlyGzY1RtHbix3wq+6FQ/qscsQhAEADQBA2JSoFvRHOpsYoPW2p/Wbd7JP6Utz+CQDg0SAImx4nK5rfmTs7QpFfRS3jtYvO8hre3DUBADRZCMKmyteO+awXt2ewYn82336zbks6whAA4GEgCJu29i7MnsGKZd25d07x/XbozhTiwCEAwINBEFqCaD/mzHDFc63YIbt1z/6uv1Vp7oIAAJoOBKGFYBl6Npi9Eqts4Uhhm7RzTuur9OauCQCgKUAQWhQ7Bc3pxB1/SpFcRG036TbdwIFDAID7QBBaoBYOzKbHuK/6cB8k8X136M7iAnwAgLohCC1WpDdzerhiQis2+lfds7/r83DgEADAGAShJRMPHF6KUfrYUfhmXHEIAGAEgtDyOVnRwi7cgccVB7L5Tj/r9mdjphQA4G8IQrlo68TsHqxY0IWdfEg/dI/uRiniEACACEEoN0MD2Esxiv4+bPetuv+c0JfhVqUAIHsIQtmxYumVMPbkU4q0Umq3WfcTLrEAAHlDEMqUvx3zYz9uXR9ubhLff6fuYjFmSgFAphCEshbpzSQNVzwbzPbfqXvlqP6OxtwFAQBIDkEod+IlFskjlUTUaqN2RTLPY3AIAHKCIAQiIhdrWtGD2zlIEX+D77lNdzwfYQgAcoEghL9FuDGHhypeCmFH7NM//4c+FzejAQAZQBDCPzBEzwazqTGKAHsK3aSdc1pfjadYAIBFQxCCEeJTLBKGKU7kCx1+1u3JwkwpAFgsBCHUqZWa2TFIsbgr968E/ZN79VdLEIcAYIEQhHAfTwQwF0Yq+nkzPbbqXjmqL8HNaADAsiAI4f6ULL0Sxl4apSSitpt0n6fwegwOAcBSIAihvtxsaEUP7uf+3LrL/GN7lYl5CEMAsASKut7Iysr68ssvL1y4wLLsDz/8QETbtm1zdHSMjIyUsDxodLq4M0eGKdZeqBx9gO3lJSzqyvrbMeYuCgDg4RkPwlOnTg0YMIDn+YCAgNu3b4uNycnJ33777cWLFyUsDxojhmhMc35MK27VRaHzL7oJrdi3O3AOSnOXBQDwUIxPjU6ZMiU8PDwtLe3jjz82NA4dOvTSpUt5eXlS1QaNmkpBs9qzScMVRdU4cAgATZiRICwqKjp16tT8+fOdnJwY5u9Zr2bNmhFRVlaWdNVBo+ejYj7rxf3Un1t3me++RXcwB2EIAE2MkSCsrq4mIkdHx1rtRUVFRMRxnARlQdPS1Z1JGKZ4txM78ZB+wK+6C0WIQwBoMowEoYeHh7u7+44dO4io5ohww4YNdnZ2rVu3lq46aFKGBrCXRime8Gf77tBNOazPw61KAaApMHKyDMuyr7zyyvvvvy8Igo+PjyAIKSkpGzZsWLBgwSuvvGJtbS19ldBUiFccjm3Jzk3Sh/2kfT2cezmUtcEkAgA0YsbPGn3zzTcLCwvfeecdvV5PRCEhIUQ0bty4efPmSVodNE1uNvRxD25aW/atE/wnF3VzI9hnWrIsLrIAgEbJeBCyLLt06dJXXnll3759BQUF9vb2UVFRoaGhEhcHTVprNfNTf+54vvDGcf2is/ycCDYmEDdwAIBGx0gQ5ubmhoSE/PjjjwMHDpw4caL0NYEl6erO/P64Yks6/+YJfvUlflFXrrMbxoYA0IgY+QtdpVIVFxfb2tpKXw1YqiebsedGKJ4OYofv1cfs16cU47RSAGgsjAShg4PDgAEDtmzZIn01YMEULL3Qmr02WjHAl+m7Qxe7X3+9FHEIAOZn/BjhjBkzJk6cWFRUNGzYMB8fH5b9Oy8jIiKkqg0skBVLk9uwcUHsJxf5blt0I5qz70dwXph9AADzMR6EEyZMyM3NXbt27dq1a2u9JQj4Kx4elb2SZrVnJ7RiPzyrD9ukndyG/Xc454ILcwDAHIwHYXx8vEajkbgUkBsPW1renZvZjv3vOb71Ru3E1uyscM4ZcQgA0jIehH369JG4DpAtfztmRQ9uZjt2yXk+OF77Qhv2P+05JytzlwUAsoHruqBRCLBnVvTgjj2puFVBrTdq5yXxxZiSAABJGB8RDhw40PAYwlpOnjxpynpA1oIcmXWR3OU77IKzfHC8dmoIOyOMc8VkKQCYkvEgbNasmZOTk+FlUVHR6dOneZ4fMGCAVIWBfLVSM1/14dLL2KXn+TYbtXFB7Kz2rI8Kl+EDgEkYD8IvvviiVktJSUlMTIx401EACTSzZ1b04P4dzi4+x4f/pItryc5sxzazRxwCQAOr7zFCR0fHjz76aOHChXVNmQKYgr8d83EPLnmU0k5BET/rxv2uP38bF/AAQEN6gJNl3N3dNRpNenq66aoBMMrLlhZ04W6MUXZ2Ywbv1vfaptuWwZu7KACwEPUNQp1Ot3z5coZhAgMDTVoQQF0clPRKGHstVvFsMDvzGN9zq27jDV6P8SEAPJp6nTXK83xGRkZhYeHUqVNrnkQDID1rjia3YV9ozW5J55cm828c56eHshNbs45Kc1cGAE1Tvc4aZVk2MjIyOjp60KBBUhUGcC8sQ8Obs8ObsyfyhaXJ/Pwk7XOt2JdDcTYNADyw+p41CtA4dXFnfujL3SxnV17gI37W9fFmp7Vl+/kwyEMAqCfjxwg/+OCDu0+KycjI+M9//mP6kgAemL8d81FXLjNO+VQzZmaivs1G3aKzuDcNANSL8SBctWpVVlZWrcasrKxFixaZviSAh2TD0bPB7JkRis97cScLhKAN2ulH9ReKcDoNANzLA1w+UVhYqFarTVcKQEOJ9GY2PsadHaFwsqKBv+p7bdN9c4Wv1Jm7LABolP5xjPDw4cPbt28norKysk8//XTr1q2Gt6qqqrZv396hQwepCwR4WH52zNwI7t2OtOMm/3kK/1qifmxLdnIbNtQZBxAB4G//CMLz589//vnnRFRZWbllyxaF4u93bW1tw8PDFy9eLHWBAI9GwdKTzdgnm7HpZcKXqfygXXo/O3oumB0TxOJhTwBARIzRJ857eXlt3ry5Z8+e0hckeu+99ziOe/fdd+vTWRCEiooKOzs7U1cFBuXl5SqVimmC52byAh3IFr65wm+/yff3YccFM4P9WEVTeBxZaWmpg4ODuauQEY1GIwiCtTWefiIdc+3kxi+fuHXrlsR1AEiDZai/L9Pfl7tdzf1wjZ97mp92hI9ryYwNYtu5NL1cB4BHZzwIDbRabVlZWc0WZ2dnU9YDIBEXa5rWlp3Wlk0uEtZf5Z/Yo1dbUVwQGxfEBOCqfAA5MT4lpNFo3n777cDAQFtbW5d/krg+AFMLc2YWduHSxig+6cmllQoRv+j6bNd9eonPrTR3ZQAgCeMjwtdff/3TTz998cUXjx8/7uLi0q1bt507d168eHH27NkS1wcgDYaotxfT24v7uCe3O5OPvy68fVLbwYUZFciOCGS9bM1dHwCYjPER4TfffLNw4cIVK1a0adOmQ4cO77777tGjR5955pnffvtN4voAJGbF0tAA9tsoLidO+Wo7NjFPCN2kjdqhW3mBzyjDtfkAFsjIiLCgoKC4uHjgwIFEpFAoKioqiIhhmLfeesvf3z8rK8vX11fqMgEkZ83R0AB2aABV67m9WcLmNH5ekt7PjnmyGTusGdPRFccRASyEkSC0sbEhIr1eT0ReXl4XL14U28WzWnNzcxGEICvWHD0RwDwRwOkFLiFX2JrOx+7ntTwNDWAeD2AjvRjb+5xzBgCNmpGpUXt7e39//wsXLhBR9+7dd+/effDgwZKSkrlz5yoUCjyYF2SLY6i3F7O4G3clVrEzmvOzYxae1Xt9p318t+6Ti/z1UkycAjRJxv+Uff7550+fPh0XFzdkyJBOnTpFRUWJ7bNnz8blEwBE1NaJaevEzGrP3tHQ3iz+15vC/DN6RyXT35fp78tEeeO2NQBNhvEgnDNnjrjAMMz+/fv37t1748aNjh07mvFeMwCNk9qKRgWyowJJIO5MobAvS1h9iX/2d31bZ6a/D9Pfl+3hwVhz5q4SAOpmJAjLy8vnzZv39NNPt2/fnoiUSuWQIUMkLwygiWGIOroyHV2Z18PZaj0l5An7s/g3T+iTi4QINybSi+njzfbwYFQ4oAjQyBj5R1lWVrZo0aLhw4dLXw2AZbDmqK8309eb+4CoTEsJecIfOfyc0/ozhUJ7F6anJ/N/nkx3D9YTlycCNAJGgtDd3d3X1/fy5cvdunWTviAAC2OvpIG+zEBfjogqdZSYLxy+JXyewk/4Q+9izfTwYHp4MD08mTBnRtkU7v0NYHmMBCHLskuXLp01a1arVq2QhQANyFYhjhQZIlYgulQsJOYJR24Jq1P46yVCOxemsxvT2Z3p7Ma0cWI4XKkIIAnjxyvWrFlTUlLSvXt3T09PHx8flv37L9WTJ0/WZ72nTp06efLkjRs3pk6d2rx5c0N7QkLCV199RUQTJkzAqTcgZ8xfp54+34qIqFxHSQXCyQJhT6bw4Rk+u0IIc2bauzAd3Zj2LgyejAFgOsaDsFmzZk5OTo+y3tGjR0dERGzbtu2JJ54wBOHp06ejo6MXLlzIMMzgwYMPHDgQERHxKFsBsBh2CurlxfTy+jPwSrR0tlA4UyicyBe+SOEvFQu+ttbt3fRtnSjMhQl1ZoIdMZUK0DCMB+EXX3zxiOu9evUqEbm7u9dsXL58+dSpU1966SUiSk9PX758+bfffvuIGwKwSI5K8Sbgf+aijqfT2WVpGlVykbDhunD+Nn+zXAhyYNo4Ma3U1FrNtFYzrZ0YXLwI8BAkPZX72LFjS5cuFZcjIyOnT58u5dYBmi4FSyFqoasDG/tXS7WeLhULqXeEy3dod6bw8QX+8h3BVkHBjkyQ+J8DtXBkghwYD5ybCnBPdQbh3r17ly5deuHCBZ7nMzMziWjBggV2dnaPkl63bt1ydXUVl93d3XNycurqefXq1aSkpDNnzogvGYZZvHixh4eH0c6CIFRWVgoCbnAlnYqKCp7nGQYHrqRTXl5e6wNvaU0tPejxGv8scirpehl7o4y5UUZbCtjrpXSjjKnSU4AdNbMX/FRCgB35qfgAO/Kx5b1syQqTq3XTaDSCIGi1WnMXIiN37+SPzsbGRqG4z5DP+NsbNmx4+umne/To0atXrz/++ENs9PT0nD179r/+9a+a5848aEEajUZcrqqqUqlUdfX08vIKCwsbNWqU+NLKysrX11epVBrtLEbgPdYGDU4QBJVKhSCUkl6vv+9OHqSiINfajWVaSi8T0suZ9FIhvUzYk0uZ5XSznG5VCC7W5K1ifFXka0detoynLXmryN2GfFTkacvYyPuGOAqFQhAEa2trcxfSqN3REC8QERVr/hyLFFeTuFCiZcS3ynWChiciqtZThY6IiBfozp9RQKVaQScQEWn0VFzJid/zJVrS80REeoFKtH8OcnQ8lekYInq7A/NkQH2/fOoTWEaCUBCE119/ffLkyZ9++unBgwcNQdinT5+cnJysrCx/f/96VlCLn59fRkaGuJyRkXGPp1jY29uHhYXFxsbW1aFWwSzLPnQ8w0MQP3AEoZQeeid3tKZ21tTuroAUiHIrKatcyK4QMsspt1I4V0S7sii/UsiqoLxKnmPI3ZbxsCE3G3KzYdxsyNWacbEmF2ty+WtBbcU4WZNF7gcsy4rfLeYu5P7KdaTRk0BUrBGoRt6UaknHE090RyMQUZWeKnVEf8WMIWMM7WJ/IirSCESk46lUSzU7lOkELU9EVKIhvUBEpLYiliEicrL68+vA0OKoFDiWiMhOwYhzD9YciXdWYhlS/3U820HJKhgiIiuOAm0FGxuWiByUpGCJiFgitaUYz74AABn/SURBVNWf+5eCJQclEVFrNdOw/1uMBGFeXt7NmzenTp3KMEzNbzpvb28iys3NfeggHDFixPr168eOHUtE69evHzly5MOtBwAeHUPkZUtetkxEHUFWqqX8KiGvkgqqqKBKKKimwioho4wKq6momr9dTberqUQrFFWTo5LUVoyjFamtyEFJjkrG0YrsFGSnILUV46AkJUtO1mTFkp2CsVOSFUuOSuJYslcwSpZUCmrSt2Ot1FGVnoj+jhyqMVQypIth6GNIkWINCcLfAablqUxLRFSho2q9uBKBrxFIhnZx+GXob6cgK46IyNmKISIrjuwURH/FiSFLbDgSHxkmfvgc82d/Q7shfpytWKoRPIYOhkhztCJTXOdaWqp3cDDDXx5GglCcTjXMYRrcvHmTiBwdHeuz3ujo6CtXrhQVFY0ePdrGxmb//v3NmzefNm3aTz/91LVrV4ZhdDrdtGnTHrl+ADAVByU5KJkWDuKre33t3dHQHY1QoqU7GirVUqlWuKOhci2V66hII6SXkZanOxqq5qlCx5dpScv/OSgRRxjlWtLwxDHkaEVEpGTJXsHQP8cNDJHTPycprVlSKR7py7hEK+jvOrXAkFKCwBAxlXqdmD1EpBOo9K9pOkMIEZGtgsRp5JrDF8PAyJAuDkpGrNeQIk5WxDDE/BVghuAxrNBRyXIMcSw5/rNdHH4pWbI3frwIHoyRIHR1dW3VqtWaNWvExDK0L1myxNvbu2XLlvVZ75o1a2pGqTgL6uTkdOLEiRMnThBRly5dOK4p/xEIAH9RW/0dAER079Ssi16gEg0RkYancp1A/zySVHNZVM1The6RTpETY6YWQ25ptVpBEJxUVobRqoIhB2XtaTqwAMZPlvnwww9jYmJycnJCQkKqq6vXrl27YcOGPXv2fPHFF/WcMffz8zPaznFc9+7dH75eALBQHEPOf4/56hmlJjw6qdGQIJC1tUUeAIV/MB6EI0eO/PHHH994443t27cT0cSJE93c3FavXv3CCy9IWx4AAIBp1Xl1RWxsbExMzOXLl7Ozs11cXEJDQ+97KQYAAECTc69sYximdevWrVu3lqwaAAAAidV5wO/ixYsvvPBC586dvb29O3bsOG7cOPEkFwAAAEtiPAh3794dERHx448/enl5PfHEEwEBATt27OjRo8f69eslrg8AAMCkjEyN8jw/efLkzp07//LLL4Zbg5aVlT377LPTpk0bPny4nZ2dtEUCAACYipERYW5ubkZGxkcffWRIQSKyt7dfvnx5SUlJSkqKhOUBAACYlpEgVKvVCoXCxsamVrt481kXFxcp6gIAAJCEkSBUqVRjx45dsGCBXq83NAqC8OGHH/br1y8wMFDC8gAAAEzL+OUToaGhH374YXBw8LBhw7y9vfPz83ft2nXt2rVXX3110aJFYp/BgweHh4dLWCoAAEDDMx6ES5YsKS4uLi4uXrFiRc32BQsWGJZdXV0RhAAA0NQZD8LU1FSe5+/9k3gQLgAAWADjQahWqyWuAwAAwCzuc/vQ3Nzc8vLymi0tWrQwZT0AAACSMh6EWVlZM2fO3LJlS1VVVa23BOGRHgAGAADQqBgPwpiYmJSUlJdffjkoKKjms3kBAAAsjJEgLC4uTkxMjI+PHzVqlPQFAQAASMnIBfVKpZJhmICAAOmrAQAAkJiRILSzsxs5cmR8fLz01QAAAEjM+DHCL774Ii4uLjY2tn///s7OzjXfiomJkaQwAAAAKRgPwjNnziQlJeXk5GzcuLHWWzhrFAAALInx5xE+88wzrq6uq1evDg4OFh86AQAAYJGMBGFeXl5mZub69esjIyOlLwgAAEBKRk6WcXZ2VqlUuHwQAADkwEgQWltbv/rqqx999FF1dbX0BQEAAEjJ+Mky1tbWSUlJrVq16tu3r5eXV823Fi5cKElhAAAAUjAehOvXr6+srCSirVu31noLQQgAAJakzucRSlwHAACAWRg5RggAACAfdT6PMCcnZ926dcnJyTzP//DDD0S0bds2tVrdp08fCcsDAAAwLeNBmJSUNGDAAI1GExAQUFxcLDaeP3/++++/T05OlrA8AAAA0zI+NTplypS2bdumpaWtWrXK0Dh06NALFy7k5+dLVRsAAIDJGX8e4YkTJw4dOuTi4lLzsvrmzZsTUVZWlru7u2T1AQAAmJSREaF44YRara7VLs6RsizOrwEAAMthJNU8PDzc3Nx27dpFRDVHhBs3blSpVK1bt5auOgAAABMzMjXKcdz06dPfe+89hmF8fHyI6OrVq/Hx8fPmzZs2bRoeRgEAAJbE+Fmjb7/9dn5+/qxZs3ieJ6Lg4GAiiouLmz9/vqTVAQAAmJjxIGRZ9uOPP54xY8aePXvy8vLUanVUVFT79u0lLg4AAMDUjAfhuXPnWrRo0aJFi6lTpxoay8vLU1JSIiIipKoNAADA5IyfAjpw4MBz587Vajx37lznzp1NXxIAAIB0HuBaCI1GgzNlAADAwvxjajQ3NzczM5OItFptampqzdjTarVr1qxp1qyZ1AUCAACY0j+C8Pvvv3/ttdfE5eeff75WV6VSuXr1aonqAgAAkMQ/gnDkyJHt2rUjotjY2Dlz5rRt29bwlrW1datWrTw9PaUuEAAAwJT+EYQBAQEBAQFEtGLFioEDByL2AADA4hm/fGLcuHES1wEAAGAWuIM2AADIGoIQAABkDUEIAACyhiAEAABZQxACAICsIQgBAEDWEIQAACBrCEIAAJA1BCEAAMgaghAAAGQNQQgAALKGIAQAAFlDEAIAgKwhCAEAQNYQhAAAIGsIQgAAkDUEIQAAyBqCEAAAZA1BCAAAsoYgBAAAWUMQAgCArCEIAQBA1hCEAAAgawhCAACQNQQhAADIGoIQAABkDUEIAACyhiAEAABZQxACAICsKaTcWFpa2urVqw0vx4wZ06FDBykLAAAAqEXSEWFmZuZXX33l/BcrKysptw4AAHA3SUeEROTm5jZr1iyJNwoAAFAXqYOwsLBw5syZarV66NChHTt2lHjrAAAAtUgahI6OjjExMYGBgdevX+/Tp8+aNWtGjx5ttOfVq1eTkpLOnDkjvmQYZvHixR4eHkY7C4JQWVkpCIKp6oa7VFRU8DzPMIy5C5GR8vJyfOBS0mg0giBotVpzFyIjptjJbWxsFIr7JJ2kQRgeHr5y5UpxOTg4+P33368rCL28vMLCwkaNGiW+tLKy8vX1VSqVRjuLEahSqUxQMhgnCIJKpcL3spT0ej12cikpFApBEKytrc1diIyYYidn2fufCiP11KhBeHh4VlZWXe/a29uHhYXFxsbWZ1WCILAsW5/fFhqK+IEjCKWEnVxiLMuK3y3mLkRGzLWTS7rJvLw8cYHn+fXr13fu3FnKrQMAANxN0hHh+++/v3v37sDAwLS0NKVS+dNPP0m5dQAAgLtJGoQrV65MTU3Nzs729PQMCQnhOE7KrQMAANxN0iBkWTYkJCQkJETKjQIAANwDjgMDAICsIQgBAEDWEIQAACBrCEIAAJA1BCEAAMgaghAAAGQNQQgAALKGIAQAAFlDEAIAgKwhCAEAQNYQhAAAIGsIQgAAkDUEIQAAyBqCEAAAZA1BCAAAsoYgBAAAWUMQAgCArCEIAQBA1hCEAAAgawhCAACQNQQhAADIGoIQAABkDUEIAACyhiAEAABZQxACAICsIQgBAEDWEIQAACBrCEIAAJA1BCEAAMgaghAAAGQNQQgAALKGIAQAAFlDEAIAgKwhCAEAQNYQhAAAIGsIQgAAkDUEIQAAyBqCEAAAZA1BCAAAsoYgBAAAWUMQAgCArCEIAQBA1hCEAAAgawhCAACQNQQhAADIGoIQAABkDUEIAACyhiAEAABZQxACAICsIQgBAEDWEIQAACBrCEIAAJA1BCEAAMgaghAAAGQNQQgAALKGIAQAAFlDEAIAgKwhCAEAQNYQhAAAIGsIQgAAkDUEIQAAyBqCEAAAZA1BCAAAsoYgBAAAWUMQAgCArCEIAQBA1hCEAAAgawhCAACQNQQhAADIGoIQAABkDUEIAACyhiAEAABZQxACAICsIQgBAEDWLCEIb9++nZiYaO4q5CUxMfH27dvmrkJGeJ7fs2ePuauQl6tXr6amppq7CnnZt2+fTqeTfrtSB+Hhw4cnTpw4ceLEw4cPN9Q6jxw5smzZsoZaG9TH0qVLjxw5Yu4qZCQ/P/+ll14ydxXysmnTph9//NHcVcjLjBkzMjMzpd+upEF46tSpIUOGdOnSpWvXro8//vjJkycbZLWCIDTIegAADPDFIh8KKTe2fPnyF198cerUqUSUlpa2fPny9evXS1kAAABALZKOCI8dO9anTx9xuU+fPseOHZNy6wAAAHdjpBz+q9Xq3bt3d+/enYhOnjwZFRVVVlZmtGe/fv0SExNtbW3/rJJhQkJCrKysjHYuKCjIzs4ODw83Udlwt3Pnzvn6+rq6upq7ELnQarXHjh3r1auXuQuRkbS0NJ7nW7RoYe5CZCQhIaFTp042NjYNuM4RI0ZMmzbt3n0knRq1sbGprq4Wl6uqqlQqVV0933vvvf3799vb24svGYYJDw/nOM5o5+rq6sLCQh8fnwYvGOqSnZ3t6upqbW1t7kJk5MaNG4GBgeauQkaKi4t5nndxcTF3ITKSlpbWrFkzhmEacJ31+VcjaRD6+fllZGSIyxkZGX5+fnX1jIyMjIyMlKouAACQL0mPEY4cOXL9+vWCIAiC8O23344cOVLKrQMAANxN0mOExcXFjz32mDjsFQRh//79Tk5Okm0dAADgbpIGIRHp9fpTp04RUURERF3H/AAAACQjdRACAAA0KtycOXPMXcODSUpK2rVrl0ajqetcm1u3bv3yyy9paWnNmzdXKCQ9G8giCYLw+++///777yqVys3N7e4Ot2/f3rdv37FjxziO8/DwkL5Cy3P16tWtW7cWFBQ0b978HmfQnT9//sqVKwEBAVLWZpHuu5MTUVVV1e7duxMSEioqKnx9fRv2zEYZunPnzpYtWy5duhQQEGD0/HPxAxfvI+3l5WXaaoQmZenSpT4+PlOmTGnevPns2bPv7pCUlOTi4jJ+/PjIyMguXbpUVlZKX6SFGTduXGho6OTJk93c3DZs2FDr3YsXLzo4OAwePHj8+PFubm5vvPGGWYq0JFu2bHF1dZ00aVL79u1jYmLq6nb9+nUnJ6dmzZpJWJrFeuaZZww7eXx8/N0d0tPTg4OD/+///m/ChAldunRJT0+XvkhLkpmZ6efnN3LkyGHDhgUGBubm5tbqkJeXFxQUFB0dPWPGDD8/v7feesuk9TSlICwtLVWr1SdPnhQE4fr167a2tnd/fMOHD3/nnXcEQdDpdBEREevWrTNDoRbk7NmzTk5Ot2/fFgTh559/DgoK0uv1NTsUFxfn5eWJy+fOnSOiu/+nwAMJDQ0VT64uKSnx8PBITEy8uw/P8wMHDpw5cyaC8NGdOXPGsJNv3ry5ZcuWPM/X6jNgwIDXXnvNHNVZpn//+9/PPPOMuDxixIh33323VofPPvssIiJCXE5ISLC1tdXpdKarpyk9hunQoUPOzs4RERFEFBgYGBYWtnv37podBEHYuXPnqFGjiIjjuKeeemr79u3mqdVSbN++vV+/fs7OzkT0+OOPZ2dnX7p0qWYHtVrt7u4uLnt7exORVquVvk6Lcf369ZSUlOHDhxORg4PDwIEDje7DX3zxRUBAwGOPPSZ5gRZo+/btjz32mGEnz8zMrLWTFxQU7Nu377XXXktISDhx4oRZnhNkYbZt22a4fG7UqFF37+Surq5VVVU8zxNRRUWFk5MTy5owrZrSIbSsrKyaxwV9fX2zsrJqdigoKKiurvb19TV02Llzp6QlWpyan7lSqXR3d8/KygoNDTXaed68edHR0YbPHx5CVlaWi4uL4aZLd+/kRJSdnb1s2bKEhAQ8hrNB1NzJraysxJ28bdu2hg7Xrl1TqVRjxozx9PS8ceOGQqGoed8reAhZWVk1v6jv3smHDx9+8uTJzp07t2jRIjU1ddOmTSY9KNuURoR6vb7mZ6FQKGr9aabX64nI0IfjOPzt9oju+5kbrF69etu2bWvWrJGqNMtU6wM3ug+/9NJL8+bNE0cw8Oh0Ot29d/Kqqqry8vIXXnhh06ZNJ06c4Djuf//7n+RlWpSa+7nRnfzy5cs//vhjTExMTExMQEDAp59+atJ6mlIQent75+XlGV7eunWr1v1F3d3dOY7Lz88XX+bm5uIGpI+o5mfO83xeXp7Rj3TdunUffvjh3r17MRx8RN7e3kVFRYbp5dzcXHHC2eDChQv79+/fu3fvlClTVq5cWVhYOGXKlKKiInMUayF8fHxq7uT5+fm1dnLxpXjTR5Zl+/Tpk5ycLH2dlsTb2/veX9QrVqwYNGjQm2++OXr06I0bN8bHx1+4cMF09TSlIOzRo0d6enpaWhoRFRUVnTp1Stw1q6ur79y5Q0Qcx/Xu3XvPnj1i/z179kRFRZmtXIsQFRX122+/aTQaIkpISLCzsxOnjMrLy8vLy8U+8fHxb7/99u7du4OCgsxZq0Vo2bKll5fXb7/9RkQ6ne7AgQN9+/YlIq1We/v2bSLy9fVdu3Zt//79+/fv37FjR1tb2/79+zfs3frlpuZOfuTIETs7u5CQEKqxk7do0aJ58+ZXr14V+1+5csXf39+MBVuAvn37Gv2ivn37tjg65DhO/D9CRDqdjud5kx4jbEpnjQqCMH369A4dOixfvrxnz55jx44VG1etWtWpUydxeffu3U5OTgsWLJg0aZK/v794Jhg8NJ7ne/fuPXjw4KVLl7Zo0eK///2v2P78889PnDhREITz589zHBcVFTX5L5cvXzZryU3eJ5984u/vv2TJkieffLJr167iabp79+5VqVS1eu7cuRNnjT46nud79epl2MmXLFkitk+YMOGFF14Ql7/88svmzZuvWLFi+vTpHh4emZmZ5qvXEiQnJ6vV6tmzZ8+aNcvZ2fnKlStiu1KpPHjwoCAIJ06csLOzmzlz5ieffNKrV6++ffvWOl+9YTWxO8sIghAfH5+UlBQSEjJ27FjxevmLFy9evnz5qaeeEvucPHlyy5YtDg4O48eP9/T0NGu9lqCysvKrr77KzMzs1avXkCFDxMZDhw4RUe/evXNycrZt21az/9ChQ2vN5sGD2rNnz++//+7j4/Pcc8+JJ2VkZ2fv2bPnueeeq9nt5s2bhw4diouLM0+VFqSiomLdunW1dvI//viDYZjevXuLLw8ePLh37143N7e4uDjcOOLRpaambtiwgWXZuLg4w0Mf165dO2TIEPHy+evXr2/evLm4uDgkJCQ2NlapVJqumCYWhAAAAA2rKR0jBAAAaHAIQgAAkDUEIQAAyBqCEAAAZA1BCAAAsoYgBAAAWUMQAjQWSUlJprtZa3p6+ueffy7engYAakIQAjQWO3bseOmllxpkVfv37//pp59qtpw7d27KlCnZ2dkNsn4AS9KUHsMEAPW0Zs2aS5cuGR75BgD3gBEhgDnxPJ+bm1tVVVVXB51Od+vWrYqKiro6VFVV5ebmPtAtokpKSsrKyh6sUADLhSAEMJutW7c2a9bMy8vLycnpxRdfvPsxeK+++qqrq6u3t7eDg8OgQYPS09MNb7m4uCxbtmzChAmOjo5eXl5BQUH79u0T3x0xYsTmzZuTk5NdXFxcXFx69uxpWGd2dvagQYOcnJzUanXXrl2vX78u2S8L0GghCAHM49SpU6NGjWrTpk1CQsLBgwfT09M/+eSTmh1iY2O//vrrRYsWJScn79ixIzMzc+DAgeLYURCEoqKi+fPnl5aWJiQkHDp0yNvbe+jQoSkpKUQ0e/bsnj17NmvWLD4+Pj4+fsmSJYZ1Tpo0qVevXomJid999921a9defvlliX9rgMbIdA+2AIB7GDNmjIuLS1lZmfiysrLS09NTqVSKLw8cOEBEGzduNPRPSUlhGOaHH34QBEGcKQ0MDNTpdOK7+fn5KpVq0qRJhpW3b9++5ua2bt1KRG+++aahZe7cuQzDVFZWmuxXBGgacLIMgHmcOXNm0KBBdnZ24ksbG5snnnjim2++EV/u3r2bZVlbW1vDhCcROTk51Xw2+pNPPslxnLjs5uYWFRWVlJR0740OHjzYsNy2bVtBEDIzM1u2bNkgvxFAE4UgBDCPzMzMmrFERDWf45ibm0tE48aNq/VTd+7cMSyLj22r+eOnT5++90adnZ0Ny1ZWVkRkeA44gGwhCAHMw9PTs6CgoGZLfn6+YVmtVnMcl52dbWNjU9ca7v7xWtEIAPWBk2UAzCMsLOzAgQOGAZler9+7d6/h3cjISK1W+8svv9xjDbt37xb+umqirKzs0KFDYWFh4kt7e/vKykrTFA5gaRCEAOYxffr07OzsyZMn5+Tk3Lp168UXX7x165bh3WHDhvXs2XPatGnr1q3Ly8srKSlJSkp6++23jx07Zuhz7dq1mTNn5ufnZ2Zmjh8//s6dO9OnTxffCg0NvXbt2tdff338+PGLFy9K/bsBNCkIQgDz6Nev3//+97/4+HgfHx9vb++bN28aYoyIOI7bsWPHkCFDJk2a5OnpqVarO3XqtGvXLnt7e0Off//730lJSR4eHv7+/nv37l23bl2XLl3EtyZNmjR69OjXX3+9W7dusbGxUv9uAE0KIzzIDSkAoGGVlJSkpKR4eHg0b97caIfS0tLU1FSlUunn5+fq6io2VlZWqlSqZcuWzZgx49q1a4WFhaGhoYYTUAHggeBkGQBzcnR07Nq16z06ODg4dO7c+R4dgoKCgoKCGrouABnB1CgAAMgaRoQATY9Sqfzss8969Ohh7kIALAGOEQIAgKxhahQAAGQNQQgAALKGIAQAAFn7fwX2zDRPXgvqAAAAAElFTkSuQmCC\" />"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "T4(x) = T(x, 4*3600)\n",
    "plot(0:0.01:delta*5, T4, xlabel=\"depth\", ylabel=\"temperature\", label=\"the 4th hour\", ylims=[0, 20])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "646a3478",
   "metadata": {},
   "outputs": [],
   "source": [
    "# savefig(\"figtemphour4.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "0c020f2b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\" />"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "T9(x) = T(x, 9*3600)\n",
    "plot(0:0.01:delta*5, T9, xlabel=\"depth\", ylabel=\"temperature\", label=\"the 9th hour\", ylims=[0, 20])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "d3c3fafd",
   "metadata": {},
   "outputs": [],
   "source": [
    "# savefig(\"figtemphour9.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "ea2e2772",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\" />"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "T13(x) = T(x, 13*3600)\n",
    "plot(0:0.01:delta*5, T13, xlabel=\"depth\", ylabel=\"temperature\", label=\"the 13th hour\", ylims=[0, 20])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "7cbba8f3",
   "metadata": {},
   "outputs": [],
   "source": [
    "# savefig(\"figtemphour13.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "3c2773a1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\" />"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "T16(x) = T(x, 16*3600)\n",
    "plot(0:0.01:delta*5, T16, xlabel=\"depth\", ylabel=\"temperature\", label=\"the 16th hour\", ylims=[0, 20])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "aaefb29c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# savefig(\"figtemphour16.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "25f2d6ed",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\" />"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "T21(x) = T(x, 21*3600)\n",
    "plot(0:0.01:delta*5, T21, xlabel=\"depth\", ylabel=\"temperature\", label=\"the 21st hour\", ylims=[0, 20])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "5240317d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\"C:\\\\Users\\\\jan\\\\Courses\\\\MCS472\\\\Spring26\\\\Lec39\\\\figtemphour21.png\""
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "savefig(\"figtemphour21.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "7696710a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\" />"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(0:0.01:delta*5, T1, xlabel=\"depth\", ylabel=\"temperature\", label=\"the 1st hour\", ylims=[0, 20])\n",
    "plot!(0:0.01:delta*5, T4, xlabel=\"depth\", label=\"the 4th hour\", ylims=[0, 20])\n",
    "plot!(0:0.01:delta*5, T9, xlabel=\"depth\", label=\"the 9th hour\", ylims=[0, 20])\n",
    "plot!(0:0.01:delta*5, T13, xlabel=\"depth\", label=\"the 13th hour\", ylims=[0,20])\n",
    "plot!(0:0.01:delta*5, T16, xlabel=\"depth\", label=\"the 16th hour\", ylims=[0, 20])\n",
    "plot!(0:0.01:delta*5, T21, xlabel=\"depth\", label=\"the 21st hour\", ylims=[0, 20])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "8b39d932",
   "metadata": {},
   "outputs": [],
   "source": [
    "# savefig(\"figtemperatures.png\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 1.12",
   "language": "julia",
   "name": "julia-1.12"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.12.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}