mirror of
https://github.com/CoolProp/CoolProp.git
synced 2026-04-23 03:00:17 -04:00
345 lines
175 KiB
Plaintext
345 lines
175 KiB
Plaintext
{
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"metadata": {
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"name": "",
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"signature": "sha256:9c371f0c12c554c342b757a87fcc8518eea642ea640794a2f5b5a591f0c160cc"
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},
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"nbformat": 3,
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"nbformat_minor": 0,
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"worksheets": [
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{
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"cells": [
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"import numpy as np\n",
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"import matplotlib\n",
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"import matplotlib.pyplot as plt\n",
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"\n",
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"import CoolProp as CP\n",
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"from CoolProp.CoolProp import PropsSI\n",
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"\n",
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"# Check: CoolProp version\n",
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"print( CP.__version__)\n",
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"print(CP.__gitrevision__)\n",
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"\n",
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"# Constants\n",
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"golden = (1 + 5 ** 0.5) / 2\n",
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"eps = 1e-2;\n",
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"kilo = 1e3\n",
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"Mega = 1e6\n",
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"nPoints = 1000\n",
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"\n",
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"# helper function: get slope from two sorted arrays\n",
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"def numSlopeAr(xAr, yAr):\n",
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" deltaX = np.empty(len(xAr))\n",
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" deltaY = np.empty(len(yAr))\n",
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" slopeAr = np.empty(len(yAr))\n",
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" for index in range(1,len(xAr)-1):\n",
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" deltaX[index] = xAr[index-1] - xAr[index+1]\n",
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" deltaY[index] = yAr[index-1] - yAr[index+1]\n",
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" slopeAr[index] = deltaY[index]/deltaX[index]\n",
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" # inaccurate, but who cares?\n",
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" slopeAr[0]=slopeAr[1]\n",
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" slopeAr[-1]=slopeAr[-2] \n",
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" return slopeAr\n",
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"\n",
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"# helper function: draw tangent from array\n",
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"def drawTangent(xAr, yAr, slopeAr, index: int):\n",
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" xVal = xAr[index]\n",
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" yVal = yAr[index]\n",
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" slopeVal = slopeAr[index]\n",
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" # line length as percentage of length of x axis\n",
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" xRange = 0.15*abs(max(xAr)-min(xAr))\n",
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" xRangeAr = np.arange(xVal-xRange, xVal+xRange)\n",
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" tang = yVal + slopeVal*(xRangeAr-xVal)\n",
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" plt.plot(xVal,yVal,'om',xRangeAr,tang,'-k')"
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],
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"language": "python",
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"metadata": {},
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"outputs": [
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{
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"output_type": "stream",
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"stream": "stdout",
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"text": [
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"5.1.0\n",
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"dca69a8bb79b3511648b128e080aba85d04e191f\n"
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]
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}
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],
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"prompt_number": 20
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"# Set FluidName\n",
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"FluidName = 'Propane'\n",
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"\n",
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"# Triple and critical data\n",
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"T_crt = PropsSI('TCRIT',FluidName)\n",
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"T_trp = PropsSI('TTRIPLE',FluidName)\n",
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"p_crt = PropsSI('PCRIT',FluidName)\n",
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"p_trp = PropsSI('PTRIPLE',FluidName)\n",
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"d_crt = PropsSI('RHOCRIT',FluidName)\n",
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"d_trp_liq = PropsSI('D','T',T_trp,'Q',0,FluidName)\n",
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"d_trp_vap = PropsSI('D','T',T_trp,'Q',1,FluidName)\n",
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"\n",
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"# Properties at saturation, liq and vap\n",
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"T_sat = np.linspace(T_trp, T_crt, num=nPoints)\n",
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"p_sat = CP.CoolProp.PropsSI('P','T',T_sat,'Q',0,FluidName)\n",
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"d_sat_liq = CP.CoolProp.PropsSI('D','T',T_sat,'Q',0,FluidName)\n",
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"d_sat_vap = CP.CoolProp.PropsSI('D','T',T_sat,'Q',1,FluidName)\n",
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"v_sat_liq = 1/d_sat_liq\n",
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"v_sat_vap = 1/d_sat_vap\n",
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"s_sat_liq = CP.CoolProp.PropsSI('S','T',T_sat,'Q',0,FluidName)\n",
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"s_sat_vap = CP.CoolProp.PropsSI('S','T',T_sat,'Q',1,FluidName)\n",
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"h_sat_liq = CP.CoolProp.PropsSI('H','T',T_sat,'Q',0,FluidName)\n",
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"h_sat_vap = CP.CoolProp.PropsSI('H','T',T_sat,'Q',1,FluidName)\n",
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"u_sat_liq = CP.CoolProp.PropsSI('U','T',T_sat,'Q',0,FluidName)\n",
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"u_sat_vap = CP.CoolProp.PropsSI('U','T',T_sat,'Q',1,FluidName)\n",
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"\n",
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"# Clausius-Clapeyron\n",
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"dp_dT_q = (s_sat_vap-s_sat_liq) / (v_sat_vap-v_sat_liq)\n",
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"dT_dp_q = (v_sat_vap-v_sat_liq) / (s_sat_vap-s_sat_liq)\n",
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"\n",
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"# derivs wrt pT, single-phase AT the sat liq line\n",
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"dd_dp_Tl = CP.CoolProp.PropsSI('d(Dmass)/d(P)|T','D',d_sat_liq,'T',T_sat,FluidName)\n",
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"dd_dT_pl = CP.CoolProp.PropsSI('d(Dmass)/d(T)|P','D',d_sat_liq,'T',T_sat,FluidName)\n",
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"ds_dp_Tl = CP.CoolProp.PropsSI('d(Smass)/d(P)|T','D',d_sat_liq,'T',T_sat,FluidName)\n",
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"ds_dT_pl = CP.CoolProp.PropsSI('d(Smass)/d(T)|P','D',d_sat_liq,'T',T_sat,FluidName)\n",
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"dh_dp_Tl = CP.CoolProp.PropsSI('d(Hmass)/d(P)|T','D',d_sat_liq,'T',T_sat,FluidName)\n",
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"dh_dT_pl = CP.CoolProp.PropsSI('d(Hmass)/d(T)|P','D',d_sat_liq,'T',T_sat,FluidName)\n",
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"dv_dp_Tl = -dd_dp_Tl/d_sat_liq**2\n",
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"dv_dT_pl = -dd_dT_pl/d_sat_liq**2\n",
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"\n",
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"# derivs wrt pT, single-phase AT the sat vap line\n",
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"dd_dp_Tv = CP.CoolProp.PropsSI('d(Dmass)/d(P)|T','D',d_sat_vap,'T',T_sat,FluidName)\n",
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"dd_dT_pv = CP.CoolProp.PropsSI('d(Dmass)/d(T)|P','D',d_sat_vap,'T',T_sat,FluidName)\n",
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"ds_dp_Tv = CP.CoolProp.PropsSI('d(Smass)/d(P)|T','D',d_sat_vap,'T',T_sat,FluidName)\n",
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"ds_dT_pv = CP.CoolProp.PropsSI('d(Smass)/d(T)|P','D',d_sat_vap,'T',T_sat,FluidName)\n",
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"dh_dp_Tv = CP.CoolProp.PropsSI('d(Hmass)/d(P)|T','D',d_sat_vap,'T',T_sat,FluidName)\n",
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"dh_dT_pv = CP.CoolProp.PropsSI('d(Hmass)/d(T)|P','D',d_sat_vap,'T',T_sat,FluidName)\n",
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"dv_dp_Tv = -dd_dp_Tv/d_sat_vap**2\n",
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"dv_dT_pv = -dd_dT_pv/d_sat_vap**2\n",
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"\n",
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"# derivs wrt dT, single-phase AT the sat liq line\n",
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"dp_dd_Tl = CP.CoolProp.PropsSI('d(P)/d(Dmass)|T','D',d_sat_liq,'T',T_sat,FluidName)\n",
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"dp_dT_dl = CP.CoolProp.PropsSI('d(P)/d(T)|Dmass','D',d_sat_liq,'T',T_sat,FluidName)\n",
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"ds_dd_Tl = CP.CoolProp.PropsSI('d(Smass)/d(D)|T','D',d_sat_liq,'T',T_sat,FluidName)\n",
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"ds_dT_dl = CP.CoolProp.PropsSI('d(Smass)/d(T)|D','D',d_sat_liq,'T',T_sat,FluidName)\n",
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"dh_dd_Tl = CP.CoolProp.PropsSI('d(Hmass)/d(D)|T','D',d_sat_liq,'T',T_sat,FluidName)\n",
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"dh_dT_dl = CP.CoolProp.PropsSI('d(Hmass)/d(T)|D','D',d_sat_liq,'T',T_sat,FluidName)\n",
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"dp_dv_Tl = -d_sat_liq**2 * dp_dd_Tl\n",
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"dp_dT_vl = dp_dT_dl\n",
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"\n",
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"# derivs wrt dT, single-phase AT the sat vap line\n",
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"dp_dd_Tv = CP.CoolProp.PropsSI('d(P)/d(Dmass)|T','D',d_sat_vap,'T',T_sat,FluidName)\n",
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"dp_dT_dv = CP.CoolProp.PropsSI('d(P)/d(T)|Dmass','D',d_sat_vap,'T',T_sat,FluidName)\n",
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"ds_dd_Tv = CP.CoolProp.PropsSI('d(Smass)/d(D)|T','D',d_sat_vap,'T',T_sat,FluidName)\n",
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"ds_dT_dv = CP.CoolProp.PropsSI('d(Smass)/d(T)|D','D',d_sat_vap,'T',T_sat,FluidName)\n",
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"dh_dd_Tv = CP.CoolProp.PropsSI('d(Hmass)/d(D)|T','D',d_sat_vap,'T',T_sat,FluidName)\n",
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"dh_dT_dv = CP.CoolProp.PropsSI('d(Hmass)/d(T)|D','D',d_sat_vap,'T',T_sat,FluidName)\n",
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"dp_dv_Tv = -d_sat_vap**2 * dp_dd_Tv\n",
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"dp_dT_vv = dp_dT_dv\n",
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"\n",
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"# two ways for derivs along the sat line: using derivs wrt dT or pT\n",
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"\n",
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"# derivs wrt T ALONG the sat liq line (that is, at q=const=0)\n",
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"dd_dT_ql = (dp_dT_q - dp_dT_dl)/dp_dd_Tl\n",
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"#dv_dT_ql = (dp_dT_q - dp_dT_dl)/dp_dd_Tl\n",
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"dv_dT_ql = dv_dT_pl + dv_dp_Tl*dp_dT_q\n",
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"ds_dT_ql = ds_dT_dl + ds_dd_Tl*dd_dT_ql\n",
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"#ds_dT_ql = ds_dT_pl + ds_dp_Tl*dp_dT_q\n",
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"dh_dT_ql = dh_dT_pl + dh_dp_Tl*dp_dT_q\n",
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"\n",
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"# derivs wrt T ALONG the sat vap line (that is, at q=const=1)\n",
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"dd_dT_qv = (dp_dT_q - dp_dT_dv)/dp_dd_Tv\n",
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"dv_dT_qv = (dp_dT_q - dp_dT_dv)/dp_dd_Tv\n",
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"dv_dT_qv = dv_dT_pv + dv_dp_Tv*dp_dT_q\n",
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"ds_dT_qv = ds_dT_dv + ds_dd_Tv*dd_dT_qv\n",
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"dh_dT_qv = dh_dT_pv + dh_dp_Tv*dp_dT_q\n",
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"\n",
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"# derivs wrt p ALONG the sat liq line (that is, at q=const=0)\n",
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"dd_dp_ql = dd_dp_Tl + dd_dT_pl*dT_dp_q\n",
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"ds_dp_ql = ds_dp_Tl + ds_dT_pl*dT_dp_q\n",
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"\n",
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"# derivs wrt p ALONG the sat vap line (that is, at q=const=1)\n",
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"dd_dp_qv = dd_dp_Tv + dd_dT_pv*dT_dp_q\n",
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"ds_dp_qv = ds_dp_Tv + ds_dT_pv*dT_dp_q\n",
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"\n",
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"# derivs wrt h ALONG the sat line\n",
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"dd_dh_ql = dd_dT_ql/dh_dT_ql\n",
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"dd_dh_qv = dd_dT_qv/dh_dT_qv\n",
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"ds_dh_ql = ds_dT_ql/dh_dT_ql\n",
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"ds_dh_qv = ds_dT_qv/dh_dT_qv\n",
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"\n",
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"# derivs of Clausius-Clapeyron\n",
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"# d2p_dT2_q = ((ds_dT_qv-ds_dT_ql)*(v_sat_vap-v_sat_liq) - (s_sat_vap-s_sat_liq)*(dv_dT_qv-dv_dT_ql)) / (v_sat_vap-v_sat_liq)**2\n",
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"d2p_dT2_q = (ds_dT_qv-ds_dT_ql)/(v_sat_vap-v_sat_liq) - dp_dT_q*(dv_dT_qv-dv_dT_ql) / (v_sat_vap-v_sat_liq)"
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],
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"language": "python",
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"metadata": {},
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"outputs": [],
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"prompt_number": 30
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"# vapor pressure, Clausius-Clapeyron\n",
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"\n",
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"# pick a point and set figure size\n",
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"mySatPoint = int(nPoints-150)\n",
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"plt.figure(figsize=(16,16*2/2/golden))\n",
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"\n",
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"plt.subplot(2,2,1)\n",
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"# replot ps=ps(Ts)\n",
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"plt.plot(T_sat, p_sat, color='blue')\n",
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"plt.xlabel('Temperature in K')\n",
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"plt.ylabel('Pressure in Pa')\n",
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"# then put a marker on point and drawTangent(x,y,slope,pointIndex)\n",
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"drawTangent(T_sat, p_sat, dp_dT_q, mySatPoint)\n",
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"\n",
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"plt.subplot(2,2,2)\n",
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"plt.plot(T_crt/T_sat, np.log(p_sat/p_crt), color='blue')\n",
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"plt.xlabel('Tc/Ts')\n",
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"plt.ylabel('ln(ps/pc)')\n",
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"\n",
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"plt.subplot(2,2,3)\n",
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"plt.plot(T_sat, dp_dT_q, color='blue')\n",
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"plt.xlabel('Temperature in K')\n",
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"plt.ylabel('dp/dT in Pa/K')\n",
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"# then put a marker on point and drawTangent(x,y,slope,pointIndex)\n",
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"drawTangent(T_sat, dp_dT_q, d2p_dT2_q, mySatPoint)"
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],
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"language": "python",
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"metadata": {},
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"outputs": [
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{
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"metadata": {},
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"output_type": "display_data",
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RaBERSQg//QSTJ8PVVwfv3Z2ePXuSlpaWlMmziCS21FRYuDAoeli/frB29I4/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/WbApcCSwK3ZOaQsr4nMALYGHgL2LfcgGzeOLLefjaSPm7aNPjP/4T77oPf/Q4GDqx1RFLbIoLM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\n",
|
|
"text": [
|
|
"<matplotlib.figure.Figure at 0xe069518>"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 31
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"# Pick a point and set figure size\n",
|
|
"mySatPoint = int(nPoints-350)\n",
|
|
"plt.figure(figsize=(16,16*3/2/golden))\n",
|
|
"\n",
|
|
"# d versus T\n",
|
|
"plt.subplot(3,2,1)\n",
|
|
"plt.plot(T_sat, d_sat_liq, color='blue')\n",
|
|
"plt.plot(T_sat, d_sat_vap, color='red')\n",
|
|
"#plt.plot(T_sat, (d_sat_liq+d_sat_vap)/2, color='black')\n",
|
|
"plt.xlabel('Temperature in K')\n",
|
|
"plt.ylabel('Density in kg/m\u00b3')\n",
|
|
"drawTangent(T_sat, d_sat_liq, dd_dT_ql, mySatPoint)\n",
|
|
"drawTangent(T_sat, d_sat_vap, dd_dT_qv, mySatPoint)\n",
|
|
"\n",
|
|
"# s versus T\n",
|
|
"plt.subplot(3,2,2)\n",
|
|
"plt.plot(T_sat, s_sat_liq, color='blue')\n",
|
|
"plt.plot(T_sat, s_sat_vap, color='red')\n",
|
|
"plt.xlabel('Temperature in K')\n",
|
|
"plt.ylabel('Specific entropy in J/(kg\u00b7K)')\n",
|
|
"drawTangent(T_sat, s_sat_liq, ds_dT_ql, mySatPoint)\n",
|
|
"drawTangent(T_sat, s_sat_vap, ds_dT_qv, mySatPoint)\n",
|
|
"\n",
|
|
"# d versus p\n",
|
|
"plt.subplot(3,2,3)\n",
|
|
"plt.plot(p_sat, d_sat_liq, color='blue')\n",
|
|
"plt.plot(p_sat, d_sat_vap, color='red')\n",
|
|
"plt.xlabel('Pressure in Pa')\n",
|
|
"plt.ylabel('Density in kg/m\u00b3')\n",
|
|
"drawTangent(p_sat, d_sat_liq, dd_dp_ql, mySatPoint)\n",
|
|
"drawTangent(p_sat, d_sat_vap, dd_dp_qv, mySatPoint)\n",
|
|
"\n",
|
|
"# s versus p\n",
|
|
"plt.subplot(3,2,4)\n",
|
|
"plt.plot(p_sat, s_sat_liq, color='blue')\n",
|
|
"plt.plot(p_sat, s_sat_vap, color='red')\n",
|
|
"plt.xlabel('Pressure in Pa')\n",
|
|
"plt.ylabel('Specific entropy in J/(kg\u00b7K)')\n",
|
|
"drawTangent(p_sat, s_sat_liq, ds_dp_ql, mySatPoint)\n",
|
|
"drawTangent(p_sat, s_sat_vap, ds_dp_qv, mySatPoint)\n",
|
|
"\n",
|
|
"# d versus h\n",
|
|
"plt.subplot(3,2,5)\n",
|
|
"plt.plot(h_sat_liq, d_sat_liq, color='blue')\n",
|
|
"plt.plot(h_sat_vap, d_sat_vap, color='red')\n",
|
|
"plt.xlabel('Specific enthalpy in J/kg')\n",
|
|
"plt.ylabel('Density in kg/m\u00b3')\n",
|
|
"drawTangent(h_sat_liq, d_sat_liq, dd_dh_ql, mySatPoint)\n",
|
|
"drawTangent(h_sat_vap, d_sat_vap, dd_dh_qv, mySatPoint)\n",
|
|
"\n",
|
|
"# s versus h\n",
|
|
"plt.subplot(3,2,6)\n",
|
|
"plt.plot(h_sat_liq, s_sat_liq, color='blue')\n",
|
|
"plt.plot(h_sat_vap, s_sat_vap, color='red')\n",
|
|
"plt.xlabel('Specific enthalpy in J/kg')\n",
|
|
"plt.ylabel('Specific entropy in J/(kg\u00b7K)')\n",
|
|
"drawTangent(h_sat_liq, s_sat_liq, ds_dh_ql, mySatPoint)\n",
|
|
"drawTangent(h_sat_vap, s_sat_vap, ds_dh_qv, mySatPoint)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "display_data",
|
|
"png": 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islt9B/Zl5OKR213TPLrlaC657RIatW4dW1yFhYU7n23f2eNo2XvB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wKziMixlZfDggXwhz/AsmXwv/83/K//paWrahJH0mxm44BPAz8E7gAqzt8OuMLdz0xmfRpKsVkk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\nvhqN3/oAAAAASUVORK5CYII=\n",
|
|
"text": [
|
|
"<matplotlib.figure.Figure at 0xdb9c4e0>"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 38
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"# To do:\n",
|
|
"# calculate analytical 2nd derivs\n",
|
|
"\n",
|
|
"\n",
|
|
"mySatPoint = int(nPoints-150)\n",
|
|
"plt.plot(p_sat, dd_dp_qv, color='red')\n",
|
|
"drawTangent(p_sat, dd_dp_qv, numSlopeAr(p_sat, dd_dp_qv), mySatPoint)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "display_data",
|
|
"png": 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|
|
"text": [
|
|
"<matplotlib.figure.Figure at 0xe114a58>"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 52
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": []
|
|
}
|
|
],
|
|
"metadata": {}
|
|
}
|
|
]
|
|
} |