From a129a8a570fb0c758019ba5b9afedfc0a9cd0f88 Mon Sep 17 00:00:00 2001 From: thorade Date: Tue, 2 Jun 2015 14:09:05 +0200 Subject: [PATCH] first steps for 2nd derivs ALONG sat line, this is for #581 --- doc/notebooks/Saturation.ipynb | 327 +++++++++++++++++++++++++++++++++ 1 file changed, 327 insertions(+) create mode 100644 doc/notebooks/Saturation.ipynb diff --git a/doc/notebooks/Saturation.ipynb b/doc/notebooks/Saturation.ipynb new file mode 100644 index 00000000..0c6b7df5 --- /dev/null +++ b/doc/notebooks/Saturation.ipynb @@ -0,0 +1,327 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:20b283748a7a9ba923e4d9f5453cc595abccbc0709f0af7fac042b605d216a97" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import numpy as np\n", + "import matplotlib\n", + "import matplotlib.pyplot as plt\n", + "\n", + "import CoolProp as CP\n", + "from CoolProp.CoolProp import PropsSI\n", + "\n", + "# Check: CoolProp version\n", + "print( CP.__version__)\n", + "print(CP.__gitrevision__)\n", + "\n", + "# Constants\n", + "golden = (1 + 5 ** 0.5) / 2\n", + "kilo = 1e3\n", + "Mega = 1e6\n", + "nPoints = 1000\n", + "\n", + "# helper function: get slope using two sorted arrays\n", + "def numSlopeAr(xAr, yAr):\n", + " deltaX = np.empty(len(xAr))\n", + " deltaY = np.empty(len(yAr))\n", + " slopeAr = np.empty(len(yAr))\n", + " for index in range(1,len(xAr)-1):\n", + " deltaX[index] = xAr[index-1] - xAr[index+1]\n", + " deltaY[index] = yAr[index-1] - yAr[index+1]\n", + " slopeAr[index] = deltaY[index]/deltaX[index]\n", + " # inaccurate, but who cares?\n", + " slopeAr[0]=slopeAr[1]\n", + " slopeAr[-1]=slopeAr[-2] \n", + " return slopeAr\n", + "\n", + "# helper function: draw tangent from array\n", + "def drawTangent(xAr, yAr, slopeAr, index: int):\n", + " xVal = xAr[index]\n", + " yVal = yAr[index]\n", + " slopeVal = slopeAr[index]\n", + " # line length as percentage of length of x axis\n", + " xRange = abs(max(xAr)-min(xAr))\n", + " xRangeAr = np.arange(xVal-0.15*xRange, xVal+0.15*xRange)\n", + " tang = yVal + slopeVal*(xRangeAr-xVal)\n", + " plt.plot(xVal,yVal,'om',xRangeAr,tang,'-k')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "5.0.6\n", + "a63d20e843ed8ca71c9505b23635baf138fd94dc\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Get all the data\n", + "FluidName = 'Propane'\n", + "T_crt = PropsSI('TCRIT',FluidName)\n", + "T_trp = PropsSI('TTRIPLE',FluidName)\n", + "p_crt = PropsSI('PCRIT',FluidName)\n", + "p_trp = PropsSI('PTRIPLE',FluidName)\n", + "d_crt = PropsSI('RHOCRIT',FluidName)\n", + "d_trp_liq = PropsSI('D','T',T_trp,'Q',0,FluidName)\n", + "d_trp_vap = PropsSI('D','T',T_trp,'Q',1,FluidName)\n", + "\n", + "# Saturation data\n", + "Ts_sat = np.linspace(T_trp, T_crt, num=nPoints)\n", + "TcrtTsat = T_crt/Ts_sat\n", + "ps_sat = CP.CoolProp.PropsSI('P','T',Ts_sat,'Q',0,FluidName)\n", + "logpsat = np.log(ps_sat/p_crt)\n", + "ds_sat_liq = CP.CoolProp.PropsSI('D','T',Ts_sat,'Q',0,FluidName)\n", + "ds_sat_vap = CP.CoolProp.PropsSI('D','T',Ts_sat,'Q',1,FluidName)\n", + "ds_rec = (ds_sat_liq+ds_sat_vap)/2\n", + "vs_sat_liq = 1/ds_sat_liq\n", + "vs_sat_vap = 1/ds_sat_vap\n", + "ss_sat_liq = CP.CoolProp.PropsSI('S','T',Ts_sat,'Q',0,FluidName)\n", + "ss_sat_vap = CP.CoolProp.PropsSI('S','T',Ts_sat,'Q',1,FluidName)\n", + "hs_sat_liq = CP.CoolProp.PropsSI('H','T',Ts_sat,'Q',0,FluidName)\n", + "hs_sat_vap = CP.CoolProp.PropsSI('H','T',Ts_sat,'Q',1,FluidName)\n", + "us_sat_liq = CP.CoolProp.PropsSI('U','T',Ts_sat,'Q',0,FluidName)\n", + "us_sat_vap = CP.CoolProp.PropsSI('U','T',Ts_sat,'Q',1,FluidName)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 2 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Some general overview saturation plots\n", + "plt.figure(figsize=(16,16*2/3/golden))\n", + "plt.subplot(2,3,1)\n", + "plt.plot(Ts_sat, ps_sat/Mega, color='blue')\n", + "plt.xlabel('Temperature in K')\n", + "plt.ylabel('Pressure in MPa')\n", + "# plt.yscale('log')\n", + "\n", + "plt.subplot(2,3,2)\n", + "plt.plot(ds_sat_liq, Ts_sat, color='blue')\n", + "plt.plot(ds_sat_vap, Ts_sat, color='red')\n", + "plt.plot(ds_rec, Ts_sat, color='black')\n", + "plt.xlabel('Density in kg/m\u00b3')\n", + "plt.ylabel('Temperature in K')\n", + "\n", + "plt.subplot(2,3,3)\n", + "plt.plot(ds_sat_liq, ss_sat_liq/kilo, color='blue')\n", + "plt.plot(ds_sat_vap, ss_sat_vap/kilo, color='red')\n", + "plt.xlabel('Density in kg/m\u00b3')\n", + "plt.ylabel('Specific entropy in kJ/(kg\u00b7K)')\n", + "\n", + "plt.subplot(2,3,4)\n", + "plt.plot(TcrtTsat, logpsat, color='blue')\n", + "plt.xlabel('Tc/Ts')\n", + "plt.ylabel('ln(ps/pc)')\n", + "\n", + "plt.subplot(2,3,5)\n", + "plt.plot(hs_sat_liq/kilo, ss_sat_liq/kilo, color='blue')\n", + "plt.plot(hs_sat_vap/kilo, ss_sat_vap/kilo, color='red')\n", + "plt.xlabel('Specific enthalpy in kJ/kg')\n", + "plt.ylabel('Specific entropy in kJ/(kg\u00b7K)')\n", + "\n", + "plt.subplot(2,3,6)\n", + "plt.plot(vs_sat_liq, us_sat_liq/kilo, color='blue')\n", + "plt.plot(vs_sat_vap, us_sat_vap/kilo, color='red')\n", + "plt.xscale('log')\n", + "plt.xlabel('Specific volume in m\u00b3/kg')\n", + "plt.ylabel('Specific energy in kJ/kg')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 3, + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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hJFzp0m6FqG++gfnzoVEj+OQT31GZNDceaKeqB6nqQUBbYDTQHbcmuDHGpI2kJroispeI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\ntmrp2TOM9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+ "text": [ + "" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Clausius-Clapeyron-Array\n", + "dpdT = (ss_sat_vap-ss_sat_liq) / (vs_sat_vap-vs_sat_liq)\n", + "dTdp = 1/dpdT\n", + "\n", + "# pick some point from sat line\n", + "mySatPoint = int(nPoints-150)\n", + "\n", + "# replot ps=ps(Ts)\n", + "plt.plot(Ts_sat, ps_sat, color='blue')\n", + "plt.xlabel('Temperature in K')\n", + "plt.ylabel('Pressure in Pa')\n", + "# then put a marker on point and drawTangent(x,y,slope,pointIndex)\n", + "drawTangent(Ts_sat, ps_sat, dpdT, mySatPoint)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# liq or vap side?\n", + "vapSide = False\n", + "if vapSide:\n", + " ds_sat = ds_sat_vap\n", + " vs_sat = vs_sat_vap\n", + " ss_sat = ss_sat_vap\n", + " hs_sat = hs_sat_vap\n", + " us_sat = us_sat_vap\n", + "else: \n", + " ds_sat = ds_sat_liq\n", + " vs_sat = vs_sat_liq\n", + " ss_sat = ss_sat_liq\n", + " hs_sat = hs_sat_liq\n", + " us_sat = us_sat_liq" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 6 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# replot plot of interest\n", + "plt.plot(hs_sat_liq, ss_sat_liq, color='blue')\n", + "plt.plot(hs_sat_vap, ss_sat_vap, color='red')\n", + "plt.xlabel('Specific enthalpy in J/kg')\n", + "plt.ylabel('Specific entropy in J/(kg\u00b7K)')\n", + "\n", + "# get numerical derivative\n", + "numSlope = numSlopeAr(hs_sat,ss_sat)\n", + "\n", + "# calculate analytical first derivative ds/dh@sigma\n", + "ds_dT_p = CP.CoolProp.PropsSI('d(Smass)/d(T)|P','D',ds_sat,'T',Ts_sat,FluidName)\n", + "ds_dp_T = CP.CoolProp.PropsSI('d(Smass)/d(P)|T','D',ds_sat,'T',Ts_sat,FluidName)\n", + "ds_dT_sigma = ds_dT_p+ds_dp_T*dpdT\n", + "dh_dT_p = CP.CoolProp.PropsSI('d(Hmass)/d(T)|P','D',ds_sat,'T',Ts_sat,FluidName)\n", + "dh_dp_T = CP.CoolProp.PropsSI('d(Hmass)/d(P)|T','D',ds_sat,'T',Ts_sat,FluidName)\n", + "dh_dT_sigma = dh_dT_p+dh_dp_T*dpdT\n", + "\n", + "ds_dh_sigma = ds_dT_sigma/dh_dT_sigma\n", + "anaSlope = ds_dh_sigma\n", + "\n", + "# pick some point (vap peak between 86 and 87)\n", + "mySatPoint = int(nPoints-870)\n", + "# print values of that point and draw tangent\n", + "print(\"num slope = \" + str(numSlope[mySatPoint]))\n", + "print(\"ana slope = \" + str(anaSlope[mySatPoint]))\n", + "print(\"avg num-ana difference = \" + str(np.nanmean(numSlope-anaSlope)))\n", + "print(\"max num-ana difference = \" + str(max(numSlope-anaSlope)))\n", + "drawTangent(hs_sat, ss_sat, numSlope, mySatPoint)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "num slope = 0.00816131095225\n", + "ana slope = 0.00816129762527\n", + "avg num-ana difference = -1.73102730279e-08\n", + "max num-ana difference = 1.22773132125e-05\n" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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2rpnVS3lcz8zOyWSAIhWxeXPYP+O888J+4B9+CI89Fnb0u+kmJQ+RbClPJ/os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\nP2E+H8C5wD/i+UDg5pTnRgH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+ "text": [ + "" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# plot anaSlope over hs_sat\n", + "plt.plot(hs_sat, anaSlope, color='cyan')\n", + "plt.xlabel('Specific enthalpy in J/kg')\n", + "\n", + "# get numerical 2nd deriv\n", + "numSlope2nd = numSlopeAr(hs_sat,anaSlope)\n", + "\n", + "# calculate analytical 2nd deriv d2s_dh2\n", + "\n", + "# draw tangent\n", + "drawTangent(hs_sat, anaSlope, numSlope2nd, mySatPoint)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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