{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "yjCTfCglXYWz" }, "source": [ "Run the cell below before doing anything else!" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 10569, "status": "ok", "timestamp": 1631629338961, "user": { "displayName": "Peter Godart", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjtJRnIngG_zTIQVjl5StKXHz19AISFPQDr24tgeQ=s64", "userId": "02999353259464801962" }, "user_tz": 240 }, "id": "zluPW21YWtqV", "outputId": "ee2eeffc-1404-4b3e-87b4-5c195c7fa9cf" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Collecting coolprop\n", " Downloading CoolProp-6.4.1-cp37-cp37m-manylinux1_x86_64.whl (4.2 MB)\n", "\u001b[K |████████████████████████████████| 4.2 MB 27.1 MB/s \n", "\u001b[?25hInstalling collected packages: coolprop\n", "Successfully installed coolprop-6.4.1\n", "Collecting git+https://github.com/ptgodart/nasaPoly.git\n", " Cloning https://github.com/ptgodart/nasaPoly.git to /tmp/pip-req-build-_n5n5zwd\n", " Running command git clone -q https://github.com/ptgodart/nasaPoly.git /tmp/pip-req-build-_n5n5zwd\n", "Building wheels for collected packages: nasaPoly\n", " Building wheel for nasaPoly (setup.py) ... \u001b[?25l\u001b[?25hdone\n", " Created wheel for nasaPoly: filename=nasaPoly-0.0.1-py3-none-any.whl size=275524 sha256=eea7ac2b26255f279e4f7b42a6ad38980f277e7e2849b5b2ce5e9f21fd147f65\n", " Stored in directory: /tmp/pip-ephem-wheel-cache-foixwzu1/wheels/0d/3b/36/9129e6f4450281e6d729bb6c955067eab00b0c9c63a572818c\n", "Successfully built nasaPoly\n", "Installing collected packages: nasaPoly\n", "Successfully installed nasaPoly-0.0.1\n" ] } ], "source": [ "!pip3 install coolprop\n", "!pip3 install --upgrade git+https://github.com/ptgodart/nasaPoly.git\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": { "id": "i1dhc3JtXUq5" }, "source": [ "# Simulating Thermodynamic Cycles and Carbon Intensity\n", "\n", "**Goal**: compute the carbon intensity of a gasoline-powered Stirling engine in order to estimate the amount of carbon dioxide that could be saved by switching to a renewable source of heat. \n", "\n", "This exercise focuses on the Stirling Engine, a type of *external comubustion engine*, which runs on the Stirling Cycle. This cycle can be described by the following processes:\n", "\n", "* $1\\rightarrow2$: Isothermal compression at $T_L$\n", "* $2\\rightarrow3$: Isochoric heating to $T_H$\n", "* $3\\rightarrow4$: Isothermal expansion at $T_H$\n", "* $4\\rightarrow1$: Isochoric cooling to $T_L$\n", "\n", "These states plotted on a P-V and T-S diagram looks like the following:" ] }, { "cell_type": "markdown", "metadata": { "id": "eBZm2uOzYVqA" }, "source": [ 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] }, { "cell_type": "markdown", "metadata": { "id": "bck6HT_krND-" }, "source": [ "One physical manifestation of this Stirling Engine is depicted below:" ] }, { "cell_type": "markdown", "metadata": { "id": "-YP1KkTbYYze" }, "source": [ 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)" ] }, { "cell_type": "markdown", "metadata": { "id": "d39xiEOvZ4CR" }, "source": [ "For this cycle, please answer the following questions:\n", "\n", "1. What is the adiabatic flame temperature of gasoline combustion in air at 1 atm?\n", "\n", "2. What is the net work done in a single Stirling Cycle? Assume the following:\n", "\n", " * The working fluid is 1 kg of air\n", " * $T_H$ is equal to the adiabatic flame temperature computed in Question 1\n", " * $T_L = 300$ K\n", " * $P_1 = 101325$ Pa (1 atm)\n", " * $P_2 = 200000$ Pa\n", "\n", " *Bonus: Recreate the above PV and TS diagrams using Python. Use air as a working fluid.*\n", "\n", "3. What is the required thermal energy input for each cycle? (i.e. compute $Q_{in} = Q^{2\\rightarrow3}+Q^{3\\rightarrow4}$)\n", "\n", "4. How do your answers to Questions 2 and 3 change with with $P_2$? (i.e. plot $W_{net}$ and $Q_{in}$ as a function of $P_2$)\n", "\n", "5. What is the first law efficiency of the ideal Stirling Cycke? (i.e. compute $\\eta_I = W_{net}/Q_{in}$). How does it compare to the Carnot efficiency?\n", "\n", "6. What is the carbon intensity of the Stirling Cycle? (*Hint: final answer should be in units of kg CO$_2$/J of net work*)\n", "\n", "7. Roughly how much CO$_2$ would be emitted annually if all of the world's power needs were met by this process?" ] }, { "cell_type": "markdown", "metadata": { "id": "JJKyQR3SdlCN" }, "source": [ "## Question 1:\n", "\n", "What is the adiabatic flame temperature of gasoline combustion in air? Assume the following stoichiometry:\n", "\n", "$C_8H_{18} + 12.5\\, (O_2 + 3.77\\, N_2) \\rightarrow 8\\, CO_2 + 9\\, H_2O + 47.125\\, N_2$\n", "\n", "(*Hint: See the solution to the Challenge Problem in Problem Set 2*)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 284, "status": "ok", "timestamp": 1631629339242, "user": { "displayName": "Peter Godart", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjtJRnIngG_zTIQVjl5StKXHz19AISFPQDr24tgeQ=s64", "userId": "02999353259464801962" }, "user_tz": 240 }, "id": "9bZVJMRPeA0m", "outputId": "93669387-fac1-42d3-e4f4-4d07ecb53b22" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "T_H=2406 K\n", "h_rxn=4.512e+07 J/kg C8H18\n" ] } ], "source": [ "import nasaPoly\n", "from scipy.optimize import fminbound\n", "import numpy as np\n", "\n", "Gasoline = nasaPoly.Species('C8H18,n-octane')\n", "CO2 = nasaPoly.Species('CO2')\n", "O2 = nasaPoly.Species('O2')\n", "N2 = nasaPoly.Species('N2')\n", "H2O = nasaPoly.Species('H2O')\n", "\n", "# Insert code here:\n", "\n", "# Compute T_H:\n", "T_1 = 300 # K\n", "delta_H_rxn = lambda T_2: np.abs((8*CO2.h_0(T_2) + 9*H2O.h_0(T_2) + 47.125*N2.h_0(T_2)) - \\\n", " (Gasoline.h_0(T_1) + 12.5*(O2.h_0(T_1) + 3.77*N2.h_0(T_1))))\n", "T_H = fminbound(delta_H_rxn, 300, 6000)\n", "print(f'T_H={T_H:.4g} K')\n", "\n", "T_rxn = (T_1 + T_H)/2\n", "h_rxn = np.abs((8*CO2.h_0(T_rxn) + 9*H2O.h_0(T_rxn) + 47.125*N2.h_0(T_rxn)) - \\\n", " (Gasoline.h_0(T_rxn) + 12.5*(O2.h_0(T_rxn) + 3.77*N2.h_0(T_rxn)))) / (Gasoline.molecular_wt*1e-3) # J/kg C8H18\n", "kg_CO2_per_kg_gas = 8*(CO2.molecular_wt*1e-3)/(1*(Gasoline.molecular_wt*1e-3))\n", "\n", "print(f'h_rxn={h_rxn:.4g} J/kg C8H18')" ] }, { "cell_type": "markdown", "metadata": { "id": "Cll4ndIrdrQ3" }, "source": [ "## Question 2:\n", "\n", "What is the net work done in a single Stirling Cycle?" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 5, "status": "ok", "timestamp": 1631629339399, "user": { "displayName": "Peter Godart", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjtJRnIngG_zTIQVjl5StKXHz19AISFPQDr24tgeQ=s64", "userId": "02999353259464801962" }, "user_tz": 240 }, "id": "1L6tljRMeBDG", "outputId": "91e1b66b-00e5-4fca-facb-80f09b3a0c34" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "State 1:\n", "--------\n", "T_1=300 K\n", "P_1=1.013e+05 Pa\n", "V_1=0.8496 m^3\n", "s_1=3887 J/kg-K\n", "h_1=4.263e+05 J/kg\n", "\n", "State 2:\n", "--------\n", "T_2=300 K\n", "P_2=2e+05 Pa\n", "V_2=0.4303 m^3\n", "s_2=3691 J/kg-K\n", "h_2=4.261e+05 J/kg\n", "\n", "State 3:\n", "--------\n", "T_3=2406 K\n", "P_3=1.609e+06 Pa\n", "V_3=0.4303 m^3\n", "s_3=5424 J/kg-K\n", "h_3=2.892e+06 J/kg\n", "\n", "State 4:\n", "--------\n", "T_4=2406 K\n", "P_4=8.138e+05 Pa\n", "V_4=0.8496 m^3\n", "s_4=5620 J/kg-K\n", "h_4=2.891e+06 J/kg\n", "\n" ] } ], "source": [ "import CoolProp as cp\n", "from matplotlib import pyplot as plt\n", "\n", "# Given:\n", "m_air = 1 # kg\n", "T_L = 300 # K\n", "P_1 = 101325 # Pa\n", "P_2 = 200000 # Pa\n", "\n", "# Get an instance of the Air object:\n", "Air = cp.AbstractState('HEOS', 'Air')\n", "\n", "P_cycle = []\n", "V_cycle = []\n", "T_cycle = []\n", "s_cycle = []\n", "\n", "# Insert code here:\n", "\n", "# Update thermodynamic state of air like so:\n", "# State 1:\n", "T_1 = T_L\n", "Air.update(cp.PT_INPUTS, P_1, T_1)\n", "num_points = 250\n", "# Compute other state variables like so:\n", "V_1 = m_air / Air.rhomass() # m^3\n", "s_1 = Air.smass() # J/kg-K\n", "h_1 = Air.hmass() # J/kg\n", "u_1 = Air.umass() # J/kg\n", "for P in np.linspace(P_1, P_2, num_points):\n", " Air.update(cp.PT_INPUTS, P, T_1)\n", " P_cycle.append(Air.p())\n", " V_cycle.append(m_air/Air.rhomass())\n", " T_cycle.append(Air.T())\n", " s_cycle.append(Air.smass())\n", "# Print state variables:\n", "print(f'\\\n", "State 1:\\n\\\n", "--------\\n\\\n", "T_1={T_1:.4g} K\\n\\\n", "P_1={P_1:.4g} Pa\\n\\\n", "V_1={V_1:.4g} m^3\\n\\\n", "s_1={s_1:.4g} J/kg-K\\n\\\n", "h_1={h_1:.4g} J/kg\\n')\n", "\n", "# Compute the properties for the other states and W_net:\n", "T_2 = T_L\n", "Air.update(cp.PT_INPUTS, P_2, T_2)\n", "V_2 = m_air / Air.rhomass() # m^3\n", "s_2 = Air.smass() # J/kg-K\n", "h_2 = Air.hmass() # J/kg\n", "u_2 = Air.umass() # J/kg\n", "for T in np.linspace(T_2, T_H, num_points):\n", " Air.update(cp.DmassT_INPUTS, m_air/V_2, T)\n", " P_cycle.append(Air.p())\n", " V_cycle.append(m_air/Air.rhomass())\n", " T_cycle.append(Air.T())\n", " s_cycle.append(Air.smass())\n", "# Print state variables:\n", "print(f'\\\n", "State 2:\\n\\\n", "--------\\n\\\n", "T_2={T_2:.4g} K\\n\\\n", "P_2={P_2:.4g} Pa\\n\\\n", "V_2={V_2:.4g} m^3\\n\\\n", "s_2={s_2:.4g} J/kg-K\\n\\\n", "h_2={h_2:.4g} J/kg\\n')\n", "\n", "T_3 = T_H\n", "Air.update(cp.DmassT_INPUTS, m_air/V_2, T_3)\n", "V_3 = m_air / Air.rhomass() # m^3\n", "s_3 = Air.smass() # J/kg-K\n", "h_3 = Air.hmass() # J/kg\n", "P_3 = Air.p() # Pa\n", "u_3 = Air.umass() # J/kg\n", "Air.update(cp.DmassT_INPUTS, m_air/V_1, T_3)\n", "P_4 = Air.p()\n", "for P in np.linspace(P_3, P_4, num_points):\n", " Air.update(cp.PT_INPUTS, P, T_3)\n", " P_cycle.append(Air.p())\n", " V_cycle.append(m_air/Air.rhomass())\n", " T_cycle.append(Air.T())\n", " s_cycle.append(Air.smass())\n", "# Print state variables:\n", "print(f'\\\n", "State 3:\\n\\\n", "--------\\n\\\n", "T_3={T_3:.4g} K\\n\\\n", "P_3={P_3:.4g} Pa\\n\\\n", "V_3={V_3:.4g} m^3\\n\\\n", "s_3={s_3:.4g} J/kg-K\\n\\\n", "h_3={h_3:.4g} J/kg\\n')\n", "\n", "T_4 = T_H\n", "Air.update(cp.DmassT_INPUTS, m_air/V_1, T_4)\n", "V_4 = m_air / Air.rhomass() # m^3\n", "s_4 = Air.smass() # J/kg-K\n", "h_4 = Air.hmass() # J/kg\n", "P_4 = Air.p() # Pa\n", "u_4 = Air.umass() # J/kg\n", "for T in np.linspace(T_4, T_1, num_points):\n", " Air.update(cp.DmassT_INPUTS, m_air/V_1, T)\n", " P_cycle.append(Air.p())\n", " V_cycle.append(m_air/Air.rhomass())\n", " T_cycle.append(Air.T())\n", " s_cycle.append(Air.smass())\n", "# Print state variables:\n", "print(f'\\\n", "State 4:\\n\\\n", "--------\\n\\\n", "T_4={T_4:.4g} K\\n\\\n", "P_4={P_4:.4g} Pa\\n\\\n", "V_4={V_4:.4g} m^3\\n\\\n", "s_4={s_4:.4g} J/kg-K\\n\\\n", "h_4={h_4:.4g} J/kg\\n')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 561 }, "executionInfo": { "elapsed": 593, "status": "ok", "timestamp": 1631629339990, "user": { "displayName": "Peter Godart", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjtJRnIngG_zTIQVjl5StKXHz19AISFPQDr24tgeQ=s64", "userId": "02999353259464801962" }, "user_tz": 240 }, "id": "jp5djMGMrRdv", "outputId": "8ed26152-74d6-4f7b-87e7-1129a459bb4f" }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# PV diagram points:\n", "plt.plot(V_cycle, P_cycle, '-', color='black')\n", "V_vec = [V_1, V_2, V_3, V_4]\n", "P_vec = [P_1, P_2, P_3, P_4]\n", "plt.plot(V_vec, P_vec, 'o')\n", "i = 0\n", "for V, P in zip(V_vec, P_vec):\n", " i += 1\n", " plt.annotate(f'{i}', (V*1.005, P*1.005))\n", "plt.xlabel('V [m$^3$]')\n", "plt.ylabel('P [Pa]')\n", "plt.show()\n", "\n", "# TS diagram points:\n", "plt.plot(s_cycle, T_cycle, '-', color='black')\n", "T_vec = [T_1, T_2, T_3, T_4]\n", "s_vec = [s_1, s_2, s_3, s_4]\n", "plt.plot(s_vec, T_vec, 'o')\n", "i = 0\n", "for s, T in zip(s_vec, T_vec):\n", " i += 1\n", " plt.annotate(f'{i}', (s*1.005, T*1.005))\n", "plt.xlabel('s [J/kg-K]')\n", "plt.ylabel('T [K]')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 311, "status": "ok", "timestamp": 1631629340297, "user": { "displayName": "Peter Godart", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjtJRnIngG_zTIQVjl5StKXHz19AISFPQDr24tgeQ=s64", "userId": "02999353259464801962" }, "user_tz": 240 }, "id": "QZ8aMNSMsnvu", "outputId": "30c41fb4-aee9-4eb6-db41-c367a08da74c" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "w_net=4.12e+05 J/kg\n" ] } ], "source": [ "# First and second law!: (du = dq - dw and ds = dq/T)\n", "# 1->2: Isothermal compression (w_12 = q_12 - u_12 and q_12 = T_L*(s_2 - s_1))\n", "q_12 = T_L * (s_2 - s_1)\n", "w_12 = q_12 - (u_2 - u_1)\n", "# 2->3: Isochoric heating (w_23 = 0, q_23 = u_3 - u_2)\n", "w_23 = 0\n", "q_23 = u_3 - u_2\n", "# 3->4: Isothermal expansion (w_34 = q_34 - u_34 and q_34 = T_H*(s_4 - s_3))\n", "q_34 = T_H * (s_4 - s_3)\n", "w_34 = q_34\n", "# 4->1: Isochoric cooling (w_41 = 0 and q_41 = u_1 - u_4)\n", "w_41 = 0\n", "q_41 = u_1 - u_4\n", "\n", "w_net = w_12 + w_23 + w_34 + w_41\n", "print(f'w_net={w_net:.4g} J/kg')" ] }, { "cell_type": "markdown", "metadata": { "id": "UA52X-BTdrrP" }, "source": [ "## Question 3:\n", "\n", "What is the required thermal energy input for each cycle? (i.e. compute $Q_{in} = Q^{2\\rightarrow3}+Q^{3\\rightarrow4}$)\n", "\n", "There are actually two ways of carrying out the Stirling Cycle. Notice that $Q^{4\\rightarrow1}$ is almost equal in magnitude but opposite sign of $Q^{2\\rightarrow3}$, and thus by using a process called \"regeneration\", we can recover $Q^{2\\rightarrow3}$ almost entirely. In this case:\n", "\n", "$Q_{in}=Q^{2\\rightarrow3} + Q^{3\\rightarrow4} - |Q^{4\\rightarrow1}|$. \n", "\n", "We will do the analysis with both methods to see the difference:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 7, "status": "ok", "timestamp": 1631629340297, "user": { "displayName": "Peter Godart", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjtJRnIngG_zTIQVjl5StKXHz19AISFPQDr24tgeQ=s64", "userId": "02999353259464801962" }, "user_tz": 240 }, "id": "hO_-DfTWeBYn", "outputId": "ecadef7b-cf86-4bac-9e88-6282418f5b31" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "q_in=2.33e+06 J/kg\n", "q_in_regen=4.708e+05 J/kg\n" ] } ], "source": [ "# Insert code here:\n", "q_in = q_23 + q_34\n", "q_in_regen = q_23 + q_34 + q_41 # Assume we can perfectly recover the heat from the isochoric cooling (q_41 = -q_23)\n", "print(f'q_in={q_in:.4g} J/kg')\n", "print(f'q_in_regen={q_in_regen:.4g} J/kg')" ] }, { "cell_type": "markdown", "metadata": { "id": "nrz6lZbWdr9P" }, "source": [ "## Question 4:\n", "\n", "How do your answers to Questions 2 and 3 change with with $P_2$? (i.e. plot $W_{net}$ and $Q_{in}$ as a function of $P_2$)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "executionInfo": { "elapsed": 561, "status": "ok", "timestamp": 1631629340854, "user": { "displayName": "Peter Godart", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjtJRnIngG_zTIQVjl5StKXHz19AISFPQDr24tgeQ=s64", "userId": "02999353259464801962" }, "user_tz": 240 }, "id": "-pd6xpMaeB42", "outputId": "3a55a7fa-bb53-410d-8e5c-b49972c689c1" }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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qOt1zIZLLZDcoDgEJZlYAqBiEeiQPalm1BJPuas/F9cvy/OTV9Bk5i617D3tdlohkUXaD4mVgPb4pOT4MfDmSVyUUKsBrfZow7JpGLN+6j64vTefzBenomgWR8JfdoBgLXAicAMqZWXTgS5K8yszo0SyRiXe1o1aZItw7djG3vj+fnb9rckGRcJbdoPjROXc18FegKfBU4EuSvK5SicJ8fGtr/tatNmlrdnLxS9P1nAuRMJbdoChmZs3x3Z0dg28yP5Fsi4wwBravxoQhF5BYLJY7PlzAnR8tZO+hY16XJiKnyW5Q3A20Ad7EN1nfsoBXJPlKjTJF+Oz2NtzbpSYTl26ny4vT+X7Vr16XJSIZZOsOKP804S8HqRbJpwpERnBn5xp0ql2a+z9ZTP/R8+iVnMijl9UlvmABr8sTyfey1aMws5fN7N/+5YuCU5LkV/UrJPDl4LYM6liNT+enc/GL05m6aofXZYnke+dzw12nANciQkxUJH+9uDaf39GWIgWj+MvoudydupDdBzV2IeIV3XAnYalxUlG+GnIBd3WuwYSl2+kyfBpfLd6m+y5EPJDdoPgX/3fD3ZjAlyPyf2KiIrmnS02+8l8ZNeSjhdzy3nx+2XfE69JE8pXsBkUf59wbzrmBzrmvg1KRyGlql43n8zva8ki3Ovywbiddhk/jozmb1bsQCZHsBsVVZjbYzGoFpRqRs4iMMG5pX5Vv7mpPvQrxPPz5Uq4bOZuNuw56XZpInpftoADWAlea2cgg1COSqcolCzPm5lYMvboBy7bu4+KXpvPyd2s5euKk16WJ5FnZvY/iV3xPqpscnHJEzi0iwujToiKda5fmya9X8OJ3a/hy8VaevrIBratl9Qm9IpJV2e1R/MnM/mJmKQGsRSRbSscX5LXrmjL6L805fvIUfUbO4t6xi/jtgCYZFAmkHAcFMAHffE8inkqpVZr/3N2BO1KqMX7RNjoPn8bHczdzSg9IEgmILAeFmX1hZq+Y2U1m1gDY5ZzTKSgJC7HRkTzQtTYT72pHjdJxPPjZUnqPmMXaX3/3ujSRXC/LQeGcuwp4DtgLXIPv2RQiYaVmmSJ8PLA1z/ZowJodv9PtlRk8P3kVh49psFskp845mG1m9wI3Ab8BS4HFwJfA08EtTSRnIiKMa5tX5MI6ZXh64kpen7qecQu38eildSioey9Esi0rVz0NAboAJ4GGQGPgcqC+mR11ztUPYn0iOVYiLobhvRrTu3lFHv9yGbd/uIB6JSJIqneA6qXjvC5PJNfISlCsBtY7322wG/H1JgAws4RgFSYSKC2qFOfrIRfwwayfeXbSCrq+NJ0BF1RhSOcaxMVk6wpxkXwpK2MUO4BRZlbl9Decc/sCX5JI4EVFRtCvbRWebVeIq5pU4K3pG+g8LI0vF23VVCAi55CVoFiGr+fxhZmlm9m3ZjYsyHWJBEV8jPH8NY34/I42lCoSw12pi+gzcharf9HVUSJnc85+t3PuuT+WzSwKqAU0CGZRIsHWtGIxvhx0AalzN/P85NV0e2UGN7auxN2da5JQSE/VE8koWzfcOedOOOeWO+dSg1WQSKhERhjXt6zE1PtSuLZ5EqN/2kSHF6by3sxNnDh5yuvyRMLG+dyZLZInFCsczT+vasCEIe2oXbYIj3+5nEtensH0NTu9Lk0kLCgoRPzqlo/no1ta8dYNzTh28hQ3jprDgNFzWb/zgNeliXhKQSGSgZlxcb2y/Oee9jx8SW1mb9zNxS9O58mvVrDv0HGvyxPxhIJC5AxioiK5tUM1pt6fwjXJSfz7p42kvDCV92dq/ELyHwWFSCZKFYlh6NW+8YtaZYvwmH/8YprGLyQfUVCIZMHp4xc3jZrDDe/MZsW2/V6XJhJ0CgqRLMo4fvHYZXVZunUfl746g3vHLmLb3sNelycSNAoKkWyKiYpkwAVVmPbXjgxsX5Wvl2wn5YU0npm0iv1HNOAteY+CQiSHEmIL8PAldfj+vg5c1qAcb01fT4fnpjLqh40cO6EBb8k7FBQi5ymxWCGGX9uYrwZfQN3y8Tz59QouHD6Nr5ds04SDkicoKEQCpH6FBD4Y0JJ3+7egUHQkg8cs5Mo3fmL2ht+8Lk3kvIQkKMysq5mtNrN1ZvbQGd6vaGZTzWyhmS0xs27+9V3MbL6ZLfX/v1Mo6hXJKTOjQ81STLizHc/1bMiv+45w7YhZ3DRqDsu2alZ+yZ2CHhRmFgm8DlwC1AX6mFnd0zZ7FBjrnGsC9Abe8K/fBVzunGuA73Gs7we7XpFAiIwweiUnMfX+FB6+pDaLtuzlsld/YPCYBWzcddDr8kSyJRQ9ihbAOufcBufcMSAV6H7aNg6I9y8nANsAnHMLnXPb/OuXA7FmFhOCmkUCIjbad4f3jAc7MqRTdb5ftYMLh0/j4c+XsH2fLqmV3MGCPdhmZj2Brs65m/2vbwBaOucGZ9imHPAfoBhQGLjQOTf/DMe5zTl34Vk+ZyAwEKBMmTLNUlNzNhP6gQMHiIvLP89TVntDa99Rx1frjzF1ywnM4MKKUVxWNZq4aAvK53nd3lBTe89Px44d5zvnkk9fHy4PDO4DjHbODTOz1sD7ZlbfOXcKwMzqAc8CF53tAM65EcAIgOTkZJeSkpKjQtLS0sjpvrmR2ht63YEtuw/x0ndr+WJhOj9sh1vaVWVAuyoBf4Z3OLQ3lNTe4AjFqaetQFKG14n+dRkNAMYCOOdmAgWBkgBmlgh8AdzonFsf9GpFQiCpeCGG9WrE5Lvb07Z6CV78bs2f92AcPXHS6/JE/ksogmIuUMPMqphZNL7B6vGnbbMZ6AxgZnXwBcVOMysKTAAecs79GIJaRUKqRpkivHVDMuMGtaV2uSI8+fUKOr0wjY/mbOa4ZqmVMBH0oHDOnQAGA5OBlfiublpuZk+a2RX+ze4DbjGzxcBHQD/nGzwZDFQHHjezRf7/Sge7ZpFQa5xUlA9vbsUHA1pSqkgMD3++lE7D0hg7b4umNRfPhWSMwjk3EZh42rrHMyyvANqeYb+ngKeCXqBImLigRknaVi9B2uqdDP92DQ98uoQ3pq7jzs416N64ApERwRn0FsmM7swWCTNmRsfapRk/uC0jb0wmNjqKe8cupsuL0/hy0VZOntK0IBJaCgqRMGVmdKlbhglDLuDNvk0pEBHBXamL6PrSdCYs2c4pBYaEiIJCJMxFRBhd65dj0l3teO26Jjhg0JgFdHtlBt8s+0UTD0rQKShEcomICOOyhuWZfHd7Xu7dmKMnTnHbB/O57NUfmLz8F/UwJGgUFCK5TGSE0b1xBb69pz3DrmnEgaMnuPX9+XR7ZQZfL9mmMQwJOAWFSC4VFRlBj2aJTLm3Ay9e24hjJ08xeMxCLnpxGuMWbtVltRIwCgqRXC4qMoKrmiTy7T0deLVPE6IiIrj740VcOHwaM9KP68Y9OW8KCpE8IjLCuLxReSbd1Y43+zajcEwU7yw7RscX0hgze7OmBpEcU1CI5DG+q6TK8vWQC7i7aQwl4mL42xdLSXk+jXd/2sSR4woMyR4FhUgeZWY0Lh3FuDva8F7/FiQWi+Xv45fT/rmpvD1jA4ePKTAka8JlmnERCRIzo33NUrSrUZJZG3bzypS1PDVhJW+krecvbSpzY+vKJBQq4HWZEsYUFCL5hJnRuloJWlcrwbxNu3kjbT3Dvl3Dm9PWc32rSgy4oApl4gt6XaaEIQWFSD6UXLk4o/oVZ+X2/bw5bT1vz9jA6B830aNZBW5tX43KJQt7XaKEEY1RiORjdcrF83LvJqTd35FezRP5bMFWOg1LY/CYBSzbus/r8iRMqEchIlQsUYinrmzAnZ1rMOqHTXww62e+XrKdDjVLcXtKNVpWKY6ZpjjPr9SjEJE/lS5SkIcuqc2PD3XirxfXYvm2ffQeMYse//qJ71b8qvmk8ikFhYj8j4TYAgzqWJ0fHuzEP7rXY8fvR7n5vXl0fXk6XyxM193e+YyCQkTOqmCBSG5oXZm0+1N46drGGMY9Hy+mg/9ejANHT3hdooSAgkJEzikqMoIrm1Tgm7vbMapfMknFC/HUhJW0HjqFoZNW8su+I16XKEGkwWwRyTIzo1PtMnSqXYbFW/YycsYGRk7fwDszNnJF4/Lc0q4qdcrFe12mBJiCQkRypFFSUV67rilbdh/inR82MnbeFj5fsJX2NUsxsF1V2lYvoSul8gidehKR85JUvBBPXFGPn/xXSq3Ytp++78ym2ys/aOA7j1BQiEhAFC0UzaCO1fnxoY4816Mhx0+e4p6PF9P+uamMnL6B348c97pEySEFhYgEVExUJL2aJ/Gfu9szql8ylUoU4umJK2kz9Hv+OXElW/ce9rpEySaNUYhIUERE/N/A95L0vYyYvoF3ftjIOz9spGu9svS/oDJNKxbTOEYuoKAQkaBrmOgb+E7fc4j3Z/7MmDmbmbB0O42SitK/bWW6NShHgUid4AhX+mZEJGQSixXi4W51mPVwZ57sXo/9h49zV+oi2j07ldenrmPPwWNelyhnoKAQkZArHBPFja0rM+XeDozql0z10nE8P3k1rZ+Zwt++WMq6Hb97XaJkoFNPIuKZjOMYq37Zz79/2MSn89MZM3sz7WuWon/bynSoWUrjGB5Tj0JEwkLtsvE827MhMx/qxH1darJy+376/XsuXV6czoezf9Yzvj2koBCRsFIiLoYhnWvw44OdGN6rETFRETzyxTJaPzOFZyat0uW1HtCpJxEJS9FREVzdNJGrmlRg7qY9vPPDBkZMX8+I6evpUrcMN7WuTOtqmiYkFBQUIhLWzIwWVYrTokpx0vcc4sPZm0mds5nJy3+lRuk4bmxTmaubVKBwjH6cBYv+ZEUk10gsVogHu9bmrs41+GrxNt6duYnHxi3juUmr6JmcSK0IzSsVDAoKEcl1ChaI5JrkJHo2S2TB5r28+9Mm3p/5MydOOSb9Ooeb2lQipWZpIiJ0WioQFBQikmuZGc0qFaNZpWI8emkdho6dzo/b99N/9DwqFi/Eja0rcU2zJBIKFfC61FxNVz2JSJ5QOr4g3atH88ODnXi1TxNKF4nhqQkraTV0Cg9/vpRVv+z3usRcSz0KEclToqMiuLxReS5vVJ5lW/fx3sxNfL4gnY/mbKZFleL0bVWJrvXKEh2l35OzKiR/UmbW1cxWm9k6M3voDO9XNLOpZrbQzJaYWbcM7z3s32+1mV0cinpFJG+oXyGB53o2YtbDnXnoktps33eYOz9aSJtnpvDcN6vYsvuQ1yXmCkHvUZhZJPA60AVIB+aa2Xjn3IoMmz0KjHXO/cvM6gITgcr+5d5APaA88J2Z1XTO6RZNEcmyYoWjua1DNQa2q8r0tTv5YNZm3py2nn9NW09KzVL0bVWJlFqlidTg9xmF4tRTC2Cdc24DgJmlAt2BjEHhgD+eyJ4AbPMvdwdSnXNHgY1mts5/vJkhqFtE8piICCOlVmlSapVm697DpM7ZTOrcLQx4dx4VisZyXcuK9EpOolSRGK9LDSuhOPVUAdiS4XW6f11GTwB9zSwdX29iSDb2FRHJtgpFY7nvolr89FAn3ri+KZVKFOL5yatp88wUBo9ZwMz1v+Gc87rMsBAug9l9gNHOuWFm1hp438zqZ+cAZjYQGAhQpkwZ0tLSclTIgQMHcrxvbqT25m1qb9YUAgbWgMvLxTJ1y3G+X7Gdr5dsp3xho2NSAdpUiKJwgfA7LRWq7zcUQbEVSMrwOtG/LqMBQFcA59xMMysIlMzivvj3GwGMAEhOTnYpKSk5KjYtLY2c7psbqb15m9qbfX2AI8dP8tXibXwwezMfrtrLZ+tPcEWj8vRtVYmGiUUDUmsghOr7DUVQzAVqmFkVfD/kewPXnbbNZqAzMNrM6gAFgZ3AeGCMmQ3HN5hdA5gTgppFJB/7487va5KTWLZ1Hx/O/plxC7cxdl46DRMT6NOiIpc3Kk9cPplfKuhjFM65E8BgYDKwEt/VTcvN7Ekzu8K/2X3ALWa2GPgI6Od8lgNj8Q18fwMM0hVPIhJK9SskMPTqhsx+pDP/74p6HD1+ioc/X0qLp7/joc+WsHjL3jw/lhGSOHTOTcQ3SJ1x3eMZllcAbc+y79PA00EtUETkHOILFuCmNpW5sUH9XkMAAAl8SURBVHUlFm7ZS+qczXy5aBupc7dQp1w8fVok0b1xBRJi8950Ifmj3yQiEiBmRtOKxWhasRiPXlaX8Yu28dGczTz+5XL+OXEllzYoT58WSTSrVCzPPCtDQSEikkPxBQvQt1Ul+raqxNL0fYyZs5nxi7by2YJ0apSOo3eLilzdpALFCkd7Xep50WQnIiIB0CAxgaFXN2DOIxfybI8GFIqJ4h9fr6Dl0CnclbowV9+XoR6FiEgAFY6J4trmFbm2eUVWbNtP6tzNfLFwK18u2kbVkoW5tnkSPZolUjIu99z9rR6FiEiQ1C0fz5Pd6zPnbxcy7JpGFC8czdBJq2g9dAqDPlzAtDU7OXkq/HsZ6lGIiARZbHQkPZol0qNZImt//Z3UuVv4bEE6E5Zup3xCQXo2S6RnsyQqlijkdalnpKAQEQmhGmWK8NhldXmgay2+W7GDsfO28OrUdbzy/TpaVy1Br+aJdK1XjtjoSK9L/ZOCQkTEAzFRkVzasByXNizHtr2H+XxBOmPnpXPPx4t5PGY5lzcuT6/kJBolJnh+ma2CQkTEY+WLxjK4Uw3uSKnOnE27GTtvC58vSGfM7M3ULBNHr+QkrmpSgRIeDYArKEREwkREhNGqaglaVS3BE1fUY8KS7Xw8dwtPTVjJM5NWcWGdMvRqnkj7GqWIigzdtUgKChGRMBRfsAB9WlSkT4uKrPn1dz6Zt4XPF2zlm+W/ULpIDD2aJVLp5KmQ1KKgEBEJczXLFOGRS+vyQNfafL9qB5/M28KI6Rs4ecrx2ZafuKZZEt0algvabLYKChGRXKJAZAQX1yvLxfXKsmP/EV74dDrz9hzjgc+W8Pfxy7mkQVn+1q1OwG/mU1CIiORCpeML0q1qNM926MCCzXv5dP4WZqzdFZRehYJCRCQXMzOaVSpGs0rFOHXKERER+EtpNYWHiEgeEYyQAAWFiIicg4JCREQypaAQEZFMKShERCRTCgoREcmUgkJERDKloBARkUxZbn3Yd2bMbCfwcw53LwnsCmA54U7tzdvU3rwt0O2t5JwrdfrKPBkU58PM5jnnkr2uI1TU3rxN7c3bQtVenXoSEZFMKShERCRTCor/NcLrAkJM7c3b1N68LSTt1RiFiIhkSj0KERHJlIJCREQylW+Dwsy6mtlqM1tnZg+d4f0YM/vY//5sM6sc+ioDJwvtvdfMVpjZEjObYmaVvKgzUM7V3gzb9TAzZ2a5+pLKrLTXzHr5v+PlZjYm1DUGUhb+Plc0s6lmttD/d7qbF3UGipmNMrMdZrbsLO+bmb3i//NYYmZNA1qAcy7f/QdEAuuBqkA0sBioe9o2dwBv+pd7Ax97XXeQ29sRKORfvj2vt9e/XRFgOjALSPa67iB/vzWAhUAx/+vSXtcd5PaOAG73L9cFNnld93m2uT3QFFh2lve7AZMAA1oBswP5+fm1R9ECWOec2+CcOwakAt1P26Y78K5/+VOgs5kF5/FRwXfO9jrnpjrnDvlfzgISQ1xjIGXl+wX4B/AscCSUxQVBVtp7C/C6c24PgHNuR4hrDKSstNcB8f7lBGBbCOsLOOfcdGB3Jpt0B95zPrOAomZWLlCfn1+DogKwJcPrdP+6M27jnDsB7ANKhKS6wMtKezMagO+3k9zqnO31d82TnHMTQllYkGTl+60J1DSzH81slpl1DVl1gZeV9j4B9DWzdGAiMCQ0pXkmu//GsyUqUAeSvMHM+gLJQAevawkWM4sAhgP9PC4llKLwnX5KwddbnG5mDZxzez2tKnj6AKOdc8PMrDXwvpnVd86d8rqw3Ci/9ii2AkkZXif6151xGzOLwtd9/S0k1QVeVtqLmV0IPAJc4Zw7GqLaguFc7S0C1AfSzGwTvnO643PxgHZWvt90YLxz7rhzbiOwBl9w5EZZae8AYCyAc24mUBDfBHp5VZb+jedUfg2KuUANM6tiZtH4BqvHn7bNeOAm/3JP4HvnHzXKhc7ZXjNrAryFLyRy8/lrOEd7nXP7nHMlnXOVnXOV8Y3JXOGcm+dNuectK3+fx+HrTWBmJfGditoQyiIDKCvt3Qx0BjCzOviCYmdIqwyt8cCN/qufWgH7nHPbA3XwfHnqyTl3wswGA5PxXUExyjm33MyeBOY558YD7+Drrq7DN4jU27uKz08W2/s8EAd84h+z3+ycu8Kzos9DFtubZ2SxvZOBi8xsBXAS+KtzLlf2kLPY3vuAkWZ2D76B7X65+Bc9zOwjfEFf0j/u8negAIBz7k184zDdgHXAIeAvAf38XPxnJyIiIZBfTz2JiEgWKShERCRTCgoREcmUgkJERDKloBARyeXONWngadtW8k/8ucTM0szsnNP1KChERHK/0UBWp2V5Ad+8UA2BJ4Gh59pBQSGSTWZ2q5n9YmaLzGyDmfU7x/aVzeywmS3KsO6kf/9lZvaJmRU6xzFi/dsf898wJ/KnM00aaGbVzOwbM5tvZjPMrLb/rbrA9/7lqZx5wsz/oqAQyb4GwBPOucb47tofloV91vu3/8Nh51xj51x94BhwW2Y7O+cO+/fP1bOgSkiNAIY455oB9wNv+NcvBq72L18FFDGzTCc8VVCIZF9DYJV/OR3f3cHnYwZQHcDMxvl/A1xuZgPP87iST5lZHNAG30wLi/BNz/PHtOP3Ax3MbCG+yT+34rtb/6zy5RQeIuepAbDS/3ySO4Gvc3og/4STlwDf+Ff1d87tNrNYYK6ZfZZbp9oQT0UAe0/rxQLgnNuGv0fhD5Qe55pFWD0KkWwwsyR8c2JNBuYAxYBBZnalmY003+NzL8rCoWL9v+nNwzeB3Tv+9Xea2WJ8ExUmkXtneBUPOef2AxvN7Br481GpjfzLJf1T7QM8DIw61/HUoxDJngbAFOfc6VeYjAPGmVkxfFeV/Occxzl8+m97ZpYCXAi0ds4dMrM0fLOeimTqLJMGXg/8y8wexTeBYCq+8YkUYKiZOXyPAh50ruMrKESypyG+f2xn8yjweg6PnQDs8YdEbXzPyRA5J+dcn7O89T+XzDrnPsX3eOcs06knkexpACw5faW/a/8sMMk5tyCHx/4GiDKzlcAz+E4/iXhOPQqRbHDOXX+Wt4bgO22UYGbV/c8IyOw4cWdYdxTfwLZIWNHzKESCzD8A/hPw25muQsniMWKBmUApoIFzbvc5dhEJGAWFiIhkSmMUIiKSKQWFiIhkSkEhIiKZUlCIiEimFBQiIpIpBYWIiGRKQSEiIplSUIiISKb+P8Z9m7XiNloFAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Insert code here:\n", "def simulate(P_2):\n", " # State 1:\n", " T_1 = T_L\n", " Air.update(cp.PT_INPUTS, P_1, T_1)\n", " # Compute other state variables like so:\n", " V_1 = m_air / Air.rhomass() # m^3\n", " s_1 = Air.smass() # J/kg-K\n", " h_1 = Air.hmass() # J/kg\n", " u_1 = Air.umass() # J/kg\n", "\n", " # Compute the properties for the other states and W_net:\n", " T_2 = T_L\n", " Air.update(cp.PT_INPUTS, P_2, T_2)\n", " V_2 = m_air / Air.rhomass() # m^3\n", " s_2 = Air.smass() # J/kg-K\n", " h_2 = Air.hmass() # J/kg\n", " u_2 = Air.umass() # J/kg\n", "\n", " T_3 = T_H\n", " Air.update(cp.DmassT_INPUTS, m_air/V_2, T_3)\n", " V_3 = m_air / Air.rhomass() # m^3\n", " s_3 = Air.smass() # J/kg-K\n", " h_3 = Air.hmass() # J/kg\n", " P_3 = Air.p() # Pa\n", " u_3 = Air.umass() # J/kg\n", "\n", " T_4 = T_H\n", " Air.update(cp.DmassT_INPUTS, m_air/V_1, T_4)\n", " V_4 = m_air / Air.rhomass() # m^3\n", " s_4 = Air.smass() # J/kg-K\n", " h_4 = Air.hmass() # J/kg\n", " P_4 = Air.p() # Pa\n", " u_4 = Air.umass() # J/kg\n", "\n", " # First and second law!: (du = dq - dw and ds = dq/T)\n", " # 1->2: Isothermal compression (w_12 = q_12 - u_12 and q_12 = T_L*(s_2 - s_1))\n", " q_12 = T_L * (s_2 - s_1)\n", " w_12 = q_12 - (u_2 - u_1)\n", " # 2->3: Isochoric heating (w_23 = 0, q_23 = u_3 - u_2)\n", " w_23 = 0\n", " q_23 = u_3 - u_2\n", " # 3->4: Isothermal expansion (w_34 = q_34 - u_34 and q_34 = T_H*(s_4 - s_3))\n", " q_34 = T_H * (s_4 - s_3)\n", " w_34 = q_34\n", " # 4->1: Isochoric cooling (w_41 = 0 and q_41 = u_1 - u_4)\n", " w_41 = 0\n", " q_41 = u_1 - u_4\n", "\n", " return(w_12 + w_23 + w_34 + w_41, q_23 + q_34, q_23 + q_34 + q_41)\n", "\n", "w_net_vec = []\n", "q_in_vec = []\n", "eta_I_vec = []\n", "eta_I_regen_vec = []\n", "P_2_vec = np.linspace(1.5*P_1, 10000*P_1, 250)\n", "for P in P_2_vec:\n", " w_net_i, q_in_i, q_in_i_regen = simulate(P)\n", " w_net_vec.append(w_net_i)\n", " q_in_vec.append(q_in_i)\n", " eta_I_vec.append(w_net_i/q_in_i)\n", " eta_I_regen_vec.append(w_net_i/q_in_i_regen)\n", "\n", "plt.plot(P_2_vec, w_net_vec)\n", "plt.xlabel('$P_2$ [Pa]')\n", "plt.ylabel('$w_{net}$ [J/kg]')\n", "plt.grid()\n", "plt.show()\n", "\n", "plt.plot(P_2_vec, q_in_vec)\n", "plt.xlabel('$P_2$ [Pa]')\n", "plt.ylabel('$q_{in}$ [J/kg]')\n", "plt.grid()\n", "plt.show()\n", "\n", "plt.plot(P_2_vec, eta_I_vec)\n", "plt.xlabel('$P_2$ [Pa]')\n", "plt.ylabel('$\\eta_{I, normal}$')\n", "plt.grid()\n", "plt.show()\n", "\n", "plt.plot(P_2_vec, eta_I_regen_vec)\n", "plt.xlabel('$P_2$ [Pa]')\n", "plt.ylabel('$\\eta_{I, regen}$')\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "2-IF9OZNL27k" }, "source": [ "We can see here that at low pressures, we approach the Carnot efficiency using regen!" ] }, { "cell_type": "markdown", "metadata": { "id": "7protZnydsP4" }, "source": [ "## Question 5\n", "\n", "What is the first law efficiency of the ideal Stirling Cycke? (i.e. compute $\\eta_I = W_{net}/Q_{in}$). How does it compare to the Carnot efficiency?" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 6, "status": "ok", "timestamp": 1631629340854, "user": { "displayName": "Peter Godart", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjtJRnIngG_zTIQVjl5StKXHz19AISFPQDr24tgeQ=s64", "userId": "02999353259464801962" }, "user_tz": 240 }, "id": "TEUnNtzHeCQm", "outputId": "b30cf354-6461-4114-8936-c148c8e4735e" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "eta_I_normal=0.18\n", "eta_I_regen=0.88\n", "eta_c=0.88\n" ] } ], "source": [ "# Insert code here:\n", "eta_I_normal = w_net / q_in\n", "eta_I_regen = w_net / q_in_regen\n", "eta_c = 1 - T_L/T_H\n", "print(f'eta_I_normal={eta_I_normal:.2g}')\n", "print(f'eta_I_regen={eta_I_regen:.2g}')\n", "print(f'eta_c={eta_c:.2g}')" ] }, { "cell_type": "markdown", "metadata": { "id": "4H58Q6_EdsjX" }, "source": [ "## Question 6\n", "\n", "What is the carbon intensity of the Stirling Cycle? (*Hint: final answer should be in units of kg CO2/J of net work*)" ] }, { "cell_type": "markdown", "metadata": { "id": "l7t9UjYW8z7D" }, "source": [ "$I = \\frac{8 M_{CO_2} / M_{C_8H_{18}} \\textrm{ [kg CO2 / kg C8H18]}}{h_{rxn}\\textrm{ [J/kg C8H18]} * \\eta_I}$" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 4, "status": "ok", "timestamp": 1631629340855, "user": { "displayName": "Peter Godart", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjtJRnIngG_zTIQVjl5StKXHz19AISFPQDr24tgeQ=s64", "userId": "02999353259464801962" }, "user_tz": 240 }, "id": "Ub0xdsVpeCmO", "outputId": "3e0f4fcf-d156-46d1-e91e-d11dd717f6ed" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "I_normal=3.86e-07 kgCO2/J\n", "I_regen=7.81e-08 kgCO2/J\n" ] } ], "source": [ "# Insert code here:\n", "I_normal = kg_CO2_per_kg_gas/h_rxn/eta_I_normal # kgCO2/J\n", "I_regen = kg_CO2_per_kg_gas/h_rxn/eta_I_regen # kgCO2/J\n", "print(f'I_normal={I_normal:.3g} kgCO2/J')\n", "print(f'I_regen={I_regen:.3g} kgCO2/J')" ] }, { "cell_type": "markdown", "metadata": { "id": "f5rkVZQUmKP0" }, "source": [ "## Question 7\n", "\n", "Roughly how much CO$_2$ would be emitted annually if all of the world's power needs were met by this process?" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 200, "status": "ok", "timestamp": 1631629341052, "user": { "displayName": "Peter Godart", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjtJRnIngG_zTIQVjl5StKXHz19AISFPQDr24tgeQ=s64", "userId": "02999353259464801962" }, "user_tz": 240 }, "id": "BABpsjBTmMP9", "outputId": "1cfc3d3b-cfda-43b2-fb40-b332dc0b35c4" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total CO2 produced each year using this process: 32 Gt (6.46 Gt with regen)\n" ] } ], "source": [ "# Insert code here:\n", "E_per_year = 8.28e19 # J (assumes just electricity demand)\n", "kg_CO2_per_year_normal = E_per_year * I_normal\n", "kg_CO2_per_year_regen = E_per_year * I_regen\n", "print(f'Total CO2 produced each year using this process: {kg_CO2_per_year_normal*1e-12:.3g} Gt ({kg_CO2_per_year_regen*1e-12:.3g} Gt with regen)')" ] }, { "cell_type": "markdown", "metadata": { "id": "UiqEZtLU_iHJ" }, "source": [ "In reality, the global energy-related carbon emissions are closer to [30 Gt/yr](https://www.iea.org/articles/global-energy-review-co2-emissions-in-2020). So interestingly, with regen, switching engines out for Stirling Cycle engines could reduce CO$_2$ emissions; *however*, in practice it is very difficult to achieve such high efficiencies as reported here. This endeavor would also be very expensive and would not eliminate carbon emissions - which we must do soon to abate climate change - so in all, I personally would not recommend it." ] } ], "metadata": { "colab": { "authorship_tag": "ABX9TyObUQVCo1UFiN9jrL4+gH9j", "collapsed_sections": [], "name": "R4_thermodynamic_cycles_and_carbon_intensity.ipynb", "provenance": [] }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.15" } }, "nbformat": 4, "nbformat_minor": 4 }