{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "interactive-link",
   "metadata": {},
   "source": [
    "> **This is a saved, working copy.** Sliders here are frozen at their\n",
    "> starting value — there's no marimo runtime in plain Jupyter to drive them.\n",
    "> For the live, drag-the-sliders version of this lecture, see\n",
    "> [Week 2 lecture — interactive](https://math4120.pages.dev/wasm/week02_lecture.html).\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "ipython-import",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:33.194875Z",
     "iopub.status.busy": "2026-11-13T23:25:33.194687Z",
     "iopub.status.idle": "2026-11-13T23:25:33.198748Z",
     "shell.execute_reply": "2026-11-13T23:25:33.197950Z"
    }
   },
   "outputs": [],
   "source": [
    "from IPython.display import Markdown, HTML\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "Hbol",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "# Week 2: Dimensional analysis and nondimensionalisation\n",
    "## Computation lecture\n",
    "\n",
    "**MATH4120 — Mathematical Modelling and Programming** Lancaster University, 2026–27\n",
    "\n",
    "---\n",
    "\n",
    "In lectures this week we derived a systematic procedure for nondimensionalising an ODE: choose characteristic scales, define dimensionless variables, and rewrite.\n",
    "\n",
    "The key insight: many different physical problems share the **same dimensionless structure**. Here we visualise that through **solution collapse**."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "MJUe",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:33.200255Z",
     "iopub.status.busy": "2026-11-13T23:25:33.200111Z",
     "iopub.status.idle": "2026-11-13T23:25:33.768784Z",
     "shell.execute_reply": "2026-11-13T23:25:33.767053Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.integrate import solve_ivp"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "vblA",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "## 1. Newton's cooling: the dimensional picture\n",
    "\n",
    "The dimensional equation is: $$\\frac{dT}{dt} = -k(T - T_\\infty), \\qquad T(0) = T_0$$\n",
    "\n",
    "Its analytic solution is $T(t) = T_\\infty + (T_0 - T_\\infty)e^{-kt}$.\n",
    "\n",
    "Use the sliders to vary $T_0$ and $T_\\infty$ and watch how the curves shift."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "bkHC",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:33.771060Z",
     "iopub.status.busy": "2026-11-13T23:25:33.770809Z",
     "iopub.status.idle": "2026-11-13T23:25:33.774168Z",
     "shell.execute_reply": "2026-11-13T23:25:33.773309Z"
    }
   },
   "outputs": [],
   "source": [
    "T0_slider = type('_W', (), {'value': 80})()  # static default\n",
    "Tinf_slider = type('_W', (), {'value': 20})()  # static default"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "lEQa",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:33.775766Z",
     "iopub.status.busy": "2026-11-13T23:25:33.775616Z",
     "iopub.status.idle": "2026-11-13T23:25:33.971826Z",
     "shell.execute_reply": "2026-11-13T23:25:33.970491Z"
    },
    "jupyter": {
     "source_hidden": true
    },
    "marimo": {
     "config": {
      "hide_code": true
     }
    },
    "tags": [
     "remove-input"
    ]
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "T0 = T0_slider.value\n",
    "Tinf = Tinf_slider.value\n",
    "k_values = [0.1, 0.5, 2.0]\n",
    "colors = [\"#1a5276\", \"#1e8449\", \"#922b21\"]\n",
    "t_dim = np.linspace(0, 30, 400)\n",
    "\n",
    "fig1, ax1 = plt.subplots(figsize=(8, 4))\n",
    "for k, color in zip(k_values, colors):\n",
    "    T_sol = Tinf + (T0 - Tinf) * np.exp(-k * t_dim)\n",
    "    ax1.plot(t_dim, T_sol, color=color, linewidth=2.5, label=f\"k = {k} s\\u207b\\u00b9\")\n",
    "\n",
    "ax1.axhline(Tinf, color=\"gray\", linestyle=\":\", linewidth=1.5, label=f\"Tinf = {Tinf} C\")\n",
    "ax1.set_xlabel(\"Time t (seconds)\", fontsize=13)\n",
    "ax1.set_ylabel(\"Temperature T (deg C)\", fontsize=13)\n",
    "ax1.set_title(\"Dimensional solution: three different k values\", fontsize=13)\n",
    "ax1.legend(fontsize=11)\n",
    "ax1.grid(True, alpha=0.3)\n",
    "fig1.tight_layout()\n",
    "fig1;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "PKri",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "## 2. Nondimensionalisation\n",
    "\n",
    "Following the recipe from lectures — choose scales, define dimensionless variables, substitute, simplify — write $T$ and $t$ in terms of new dimensionless variables $\\theta$ and $s$: $$\\theta = \\frac{T - T_\\infty}{T_0 - T_\\infty}, \\qquad s = k\\,t \\qquad\\Longleftrightarrow\\qquad T = T_\\infty + (T_0-T_\\infty)\\,\\theta, \\qquad t = s/k.$$\n",
    "\n",
    "Substitute into the original ODE using the chain rule ($dT/dt = (T_0-T_\\infty)\\,k\\,d\\theta/ds$): $$(T_0-T_\\infty)\\,k\\,\\frac{d\\theta}{ds} = -k\\,(T_0-T_\\infty)\\,\\theta.$$\n",
    "\n",
    "Every parameter appears on both sides and cancels exactly: $$\\boxed{\\frac{d\\theta}{ds} = -\\theta, \\qquad \\theta(0) = 1.}$$\n",
    "\n",
    "**No parameters left at all.** The solution is $\\theta(s) = e^{-s}$ — the same curve, always, no matter what $k$, $T_0$, or $T_\\infty$ were.\n",
    "\n",
    "Now plot $\\theta$ vs $s$ for the same three values of $k$..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "Xref",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:33.974006Z",
     "iopub.status.busy": "2026-11-13T23:25:33.973791Z",
     "iopub.status.idle": "2026-11-13T23:25:34.328423Z",
     "shell.execute_reply": "2026-11-13T23:25:34.327298Z"
    },
    "jupyter": {
     "source_hidden": true
    },
    "marimo": {
     "config": {
      "hide_code": true
     }
    },
    "tags": [
     "remove-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "T0_nd = T0_slider.value\n",
    "Tinf_nd = Tinf_slider.value\n",
    "k_values_nd = [0.1, 0.5, 2.0]\n",
    "colors_nd = [\"#1a5276\", \"#1e8449\", \"#922b21\"]\n",
    "t_dim_nd = np.linspace(0, 30, 400)\n",
    "\n",
    "fig2, axes = plt.subplots(1, 2, figsize=(12, 4))\n",
    "\n",
    "for k2, c2 in zip(k_values_nd, colors_nd):\n",
    "    T_sol2 = Tinf_nd + (T0_nd - Tinf_nd) * np.exp(-k2 * t_dim_nd)\n",
    "    axes[0].plot(t_dim_nd, T_sol2, color=c2, linewidth=2.5, label=f\"k = {k2}\")\n",
    "axes[0].axhline(Tinf_nd, color=\"gray\", linestyle=\":\", linewidth=1.5)\n",
    "axes[0].set_xlabel(\"t (seconds)\", fontsize=12)\n",
    "axes[0].set_ylabel(\"T (deg C)\", fontsize=12)\n",
    "axes[0].set_title(\"Dimensional: T vs t\", fontsize=12)\n",
    "axes[0].legend(fontsize=10)\n",
    "axes[0].grid(True, alpha=0.3)\n",
    "\n",
    "s_nondim = np.linspace(0, 6, 400)\n",
    "theta_exact = np.exp(-s_nondim)\n",
    "\n",
    "for k2, c2 in zip(k_values_nd, colors_nd):\n",
    "    s_vals = k2 * t_dim_nd\n",
    "    T_sol2 = Tinf_nd + (T0_nd - Tinf_nd) * np.exp(-k2 * t_dim_nd)\n",
    "    theta_vals = (T_sol2 - Tinf_nd) / (T0_nd - Tinf_nd)\n",
    "    mask2 = s_vals <= 6\n",
    "    axes[1].plot(s_vals[mask2], theta_vals[mask2], color=c2,\n",
    "                 linewidth=2.5, label=f\"k = {k2}\", alpha=0.7)\n",
    "\n",
    "axes[1].plot(s_nondim, theta_exact, \"k--\", linewidth=2,\n",
    "             label=r\"$e^{-s}$ (exact)\", zorder=10)\n",
    "axes[1].set_xlabel(\"s = kt (dimensionless time)\", fontsize=12)\n",
    "axes[1].set_ylabel(r\"$\\theta = (T - T_\\infty)/(T_0 - T_\\infty)$\", fontsize=12)\n",
    "axes[1].set_title(\"Nondimensional: solution collapse!\", fontsize=12)\n",
    "axes[1].legend(fontsize=10)\n",
    "axes[1].grid(True, alpha=0.3)\n",
    "\n",
    "fig2.tight_layout()\n",
    "fig2;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "SFPL",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "**All three curves collapse onto the same line** $\\theta = e^{-s}$.\n",
    "\n",
    "This is the power of nondimensionalisation: instead of solving the problem for each value of $k$, we solve it **once** in dimensionless form.\n",
    "\n",
    "Change the temperatures above — the curves in the left panel shift, but the right panel stays fixed on $e^{-s}$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "BYtC",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "## 3. The logistic equation — preview\n",
    "\n",
    "Next we do the same for logistic growth: $$\\frac{dN}{dt} = rN\\!\\left(1 - \\frac{N}{K}\\right)$$\n",
    "\n",
    "With $u = N/K$ and $s = rt$, this becomes $\\dfrac{du}{ds} = u(1-u)$.\n",
    "\n",
    "Use the sliders to vary $r$ and $K$ — in the dimensional plot the curves differ, but in the nondimensional plot they collapse (for fixed $N_0/K$)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "RGSE",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:34.330413Z",
     "iopub.status.busy": "2026-11-13T23:25:34.330185Z",
     "iopub.status.idle": "2026-11-13T23:25:34.333902Z",
     "shell.execute_reply": "2026-11-13T23:25:34.333034Z"
    }
   },
   "outputs": [],
   "source": [
    "r_log_slider = type('_W', (), {'value': 0.5})()  # static default\n",
    "K_slider = type('_W', (), {'value': 500})()  # static default\n",
    "N0_frac_slider = type('_W', (), {'value': 0.1})()  # static default"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "Kclp",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:34.335864Z",
     "iopub.status.busy": "2026-11-13T23:25:34.335660Z",
     "iopub.status.idle": "2026-11-13T23:25:34.724811Z",
     "shell.execute_reply": "2026-11-13T23:25:34.723729Z"
    },
    "jupyter": {
     "source_hidden": true
    },
    "marimo": {
     "config": {
      "hide_code": true
     }
    },
    "tags": [
     "remove-input"
    ]
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "r_log = r_log_slider.value\n",
    "K_log = K_slider.value\n",
    "u0 = N0_frac_slider.value\n",
    "\n",
    "r_vals_log = [0.3, r_log, 1.5]\n",
    "K_vals_log = [200, K_log, 800]\n",
    "col_log = [\"#1a5276\", \"#1e8449\", \"#922b21\"]\n",
    "\n",
    "def logistic(t_v, N_v, r_v, K_v):\n",
    "    return r_v * N_v * (1 - N_v / K_v)\n",
    "\n",
    "fig3, axes3 = plt.subplots(1, 2, figsize=(12, 4))\n",
    "\n",
    "for r_v, K_v, col in zip(r_vals_log, K_vals_log, col_log):\n",
    "    N0_v = u0 * K_v\n",
    "    sol_v = solve_ivp(logistic, [0, 30], [N0_v], args=(r_v, K_v),\n",
    "                      t_eval=np.linspace(0, 30, 300), dense_output=True)\n",
    "    axes3[0].plot(sol_v.t, sol_v.y[0], color=col, linewidth=2.5,\n",
    "                  label=f\"r={r_v}, K={K_v}\")\n",
    "    s_v = r_v * sol_v.t\n",
    "    u_v = sol_v.y[0] / K_v\n",
    "    mask_v = s_v <= 15\n",
    "    axes3[1].plot(s_v[mask_v], u_v[mask_v], color=col,\n",
    "                  linewidth=2.5, label=f\"r={r_v}, K={K_v}\", alpha=0.7)\n",
    "\n",
    "axes3[0].set_xlabel(\"t\", fontsize=12)\n",
    "axes3[0].set_ylabel(\"N(t)\", fontsize=12)\n",
    "axes3[0].set_title(\"Logistic growth: dimensional\", fontsize=12)\n",
    "axes3[0].legend(fontsize=9)\n",
    "axes3[0].grid(True, alpha=0.3)\n",
    "\n",
    "axes3[1].set_xlabel(\"s = rt (dimensionless)\", fontsize=12)\n",
    "axes3[1].set_ylabel(\"u = N/K (dimensionless)\", fontsize=12)\n",
    "axes3[1].set_title(\"Nondimensional: collapse (fixed N0/K)\", fontsize=12)\n",
    "axes3[1].legend(fontsize=9)\n",
    "axes3[1].grid(True, alpha=0.3)\n",
    "\n",
    "fig3.tight_layout()\n",
    "fig3;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "emfo",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "## Summary\n",
    "\n",
    "- A **characteristic scale** is a representative size for a variable in the problem\n",
    "- **Nondimensionalisation** removes units and reduces the number of parameters\n",
    "- The dimensionless ODE for Newton's cooling has **no parameters** — its solution $e^{-s}$ is universal\n",
    "- **Solution collapse**: all curves for different physical parameters coincide in dimensionless coordinates\n",
    "- Next week: the Buckingham Π theorem gives a systematic method when we have many parameters"
   ]
  }
 ],
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.3"
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  "marimo": {
   "app_config": {
    "app_title": "Week 2 — Dimensional Analysis and Nondimensionalisation",
    "width": "medium"
   },
   "marimo_version": "0.25.2"
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