{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "_82w-F5u_vdB"
   },
   "source": [
    "# Ciclo de Otto para motores alternativos de combustión interna de encendido provocado\n",
    "\n",
    "Asignatura: Vehículos aeroespaciales\n",
    "\n",
    "Departamento: Ciencia y Tecnología de Materiales y Fluidos\n",
    "\n",
    "Centro: Escuela Universitaria Politécnica de Teruel\n",
    "\n",
    "Profesor: Adrián Navas Montilla"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 556
    },
    "id": "hn9WW1fzdLTy",
    "outputId": "58a5d77c-c428-49cb-a2d1-c46f12635ec1"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 700x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Eficiencia térmica η = 0.565\n",
      "Trabajo neto específico = 451.78 kJ/kg\n",
      "Temperaturas (K): T1=300.0, T2=689.2, T3=1804.2, T4=785.3\n",
      "Presiones (bar): P1=1.00, P2=18.38, P3=48.11, P4=2.62\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Datos de partida\n",
    "r = 8.0          # Relación de compresión V1/V2\n",
    "T_entrada = 300.0       # K\n",
    "P_entrada = 1e5    # Pa\n",
    "q_in = 800e3     # J/kg, calor añadido (específico)\n",
    "Vd = 0.20 #m^3, cilindrada unitaria\n",
    "nc = 4 #numero de cilindros\n",
    "N = 1200 #rpm\n",
    "\n",
    "# Propiedades\n",
    "gamma = 1.4      # Razón de calores específicos (cp/cv) para aire\n",
    "R = 287.0        # J/(kg·K), constante del gas aire\n",
    "cv = R / (gamma - 1)\n",
    "cp = gamma * cv\n",
    "\n",
    "# --- Volumenes ---\n",
    "V2=Vd/(r-1) # volumen en PMS, en función de Vd y r (datos)\n",
    "V1=V2*r     # volumen en PMI\n",
    "V3=V2\n",
    "V4=V1\n",
    "\n",
    "# Estado 1\n",
    "T1 = T_entrada\n",
    "P1 = P_entrada\n",
    "m = P1*V1 / (R*T1) #masa de aire en el cilindro (constante, sistema cerrado). Se calcula con ley gases ideales\n",
    "\n",
    "# --- Proceso 1 -> 2 : compresión adiabática ---\n",
    "T2 = T1 * r**(gamma - 1)\n",
    "P2 = P1 * r**gamma\n",
    "\n",
    "# --- Proceso 2 -> 3 : adición de calor ---\n",
    "T3 = T2 + q_in / cv  #se expresa en función de q_in\n",
    "P3 = P2 * (T3 / T2)\n",
    "q23 = cv * (T3 - T2)\n",
    "\n",
    "# --- Proceso 3 -> 4 : expansión adiabática ---\n",
    "T4 = T3 * (1 / r)**(gamma - 1)\n",
    "P4 = P3 * (1 / r)**gamma\n",
    "\n",
    "# --- Proceso 4 -> 1 : rechazo de calor ---\n",
    "q41 = cv * (T1 - T4)\n",
    "\n",
    "# Calores y eficiencia (1º principio de la termodinamica aplicado al ciclo)\n",
    "q_in = q23\n",
    "q_out = - q41\n",
    "w_net = q_in - q_out\n",
    "\n",
    "eta0 = w_net/q_in             #eficiencia, expresión general\n",
    "eta = 1 - 1 / (r**(gamma - 1))#eficiencia ciclo ideal aire estandar gas perfecto\n",
    "\n",
    "# Representación P-V\n",
    "V_comp = np.linspace(V1, V2, 100)\n",
    "P_comp = P1 * (V1**gamma) / (V_comp**gamma)\n",
    "\n",
    "V_exp = np.linspace(V3, V4, 100)\n",
    "P_exp = P3 * (V3**gamma) / (V_exp**gamma)\n",
    "\n",
    "plt.figure(figsize=(7,5))\n",
    "plt.plot(V_comp, P_comp, 'b', label='Compresión 1-2')\n",
    "plt.plot([V2,V3], [P2,P3], 'r', label='Combustión 2-3')\n",
    "plt.plot(V_exp, P_exp, 'g', label='Expansión 3-4')\n",
    "plt.plot([V4,V1], [P4,P1], 'orange', label='Escape 4-1')\n",
    "plt.xlabel('Volumen (m^3)')\n",
    "plt.ylabel('Presión (Pa)')\n",
    "plt.title('Ciclo Otto Ideal - Diagrama P-V')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()\n",
    "\n",
    "\n",
    "# --- Resultados numéricos ---\n",
    "print(f\"Eficiencia térmica η = {eta:.3f}\")\n",
    "print(f\"Trabajo neto específico = {w_net/1000:.2f} kJ/kg\")\n",
    "print(f\"Temperaturas (K): T1={T1:.1f}, T2={T2:.1f}, T3={T3:.1f}, T4={T4:.1f}\")\n",
    "print(f\"Presiones (bar): P1={P1/1e5:.2f}, P2={P2/1e5:.2f}, P3={P3/1e5:.2f}, P4={P4/1e5:.2f}\")"
   ]
  }
 ],
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