Droplet Lagrangian Transient One-dimensional Reacting Code Implementation of both liquid and gas phase governing equations.
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  1. #!/usr/bin/env python3
  2. # -*- coding: utf-8 -*-
  3. """
  4. Created on Mon Mar 25 14:37:01 2024
  5. @author: david
  6. """
  7. #!/usr/bin/env python3
  8. # -*- coding: utf-8 -*-
  9. """
  10. Created on Wed Feb 14 14:39:59 2024
  11. @author: wangweiye
  12. """
  13. import numpy as np
  14. from numpy import power
  15. import cantera as ct
  16. import matplotlib.pyplot as plt
  17. from scipy.interpolate import CubicHermiteSpline
  18. font = {'family':'times',
  19. 'color':'darkred',
  20. 'weight':'normal',
  21. 'size':16}
  22. def calVaporPressure(T:float) ->float :
  23. # return 1e5*np.power(10,4.6543 - (1435.264/(T - 64.84))) # returns Pa, where T is in K
  24. #P = 1e3*np.exp(16.7 - (4060.0/(T - 37.0))) # returns Pa, where T is in K,FOR WATER
  25. #P = 1e5*np.power(10,4.02832-(1268.636/(T-56.199))) ; #FOR N-HEPTANE
  26. P = 0.00 #NO FUEL @ t0
  27. return P
  28. # return 1D numpy array for liquid phase mass fraction
  29. def genLiquidMassFracArr(gas,dropTemp:float,P:float,dropSpec:str) :
  30. gas.TPX = dropTemp,P,dropSpec
  31. massArr_ = gas.Y
  32. # print(gas.Y)
  33. return massArr_
  34. # return 1D numpy array for gas phase mass fraction
  35. def genGasMassFracArr(gas,gasTemp:float,P:float,gasSpec:str):
  36. gas.TPX = gasTemp,P,gasSpec
  37. massArr_ = gas.Y
  38. return massArr_
  39. # return 1D numpy array for gas phase spatial coordinate and temperature
  40. def genGasTempAndRadiusArr(Rd,L,shift,Wmix,nPts,dropTemp,gasTemp,deltaT):
  41. dX = L/(nPts-1)
  42. r_ = np.zeros(nPts)
  43. r_[0] = Rd
  44. #DEBUG
  45. #print("r_[0] = %15.6e\n"%(r_[0]))
  46. for ii in range(1, nPts-1):
  47. r_[ii] = r_[ii-1] + dX
  48. r_[nPts-1] = Rd+L
  49. x = [Rd+shift, Rd+shift+Wmix] ;
  50. y = [dropTemp+deltaT, gasTemp] ;
  51. m = [0,0] ;
  52. spline = CubicHermiteSpline(x, y, m)
  53. T_ = np.zeros(nPts)
  54. for i in range(nPts):
  55. if r_[i] <= Rd :
  56. T_[i] = dropTemp ;
  57. if r_[i] > Rd and r_[i] < (Rd+shift):
  58. T_[i] = dropTemp + deltaT ;
  59. if r_[i] >= (Rd + shift) and (r_[i] <= Rd + shift + Wmix) :
  60. T_[i] = spline(r_[i]) ;
  61. if r_[i] > (Rd + shift +Wmix) and r_[i] <= (Rd+L) :
  62. T_[i] = gasTemp ;
  63. return r_,T_
  64. # return 2D numpy array with size of (nvar*nPts)
  65. def writeGlobalArr(Rd,L,shift,Wmix,dropTemp,gasTemp,deltaT,P,dropSpec,gasSpec,gas,lnPts,gnPts,fileName):
  66. liquidMassFracArr_ = genLiquidMassFracArr(gas, dropTemp, P, dropSpec)
  67. gasMassFracArr_ = genGasMassFracArr(gas, gasTemp, P, gasSpec)
  68. # assign spatial coordinate value
  69. rG_,TG_ = genGasTempAndRadiusArr(Rd, L, shift, Wmix, gnPts, dropTemp, gasTemp,deltaT)
  70. rL_ = np.zeros(lnPts)
  71. dXL = Rd/(lnPts-1)
  72. rL_[0] = 0.0
  73. for ii in range(1, lnPts-1):
  74. rL_[ii] = rL_[ii-1] + dXL
  75. rL_[lnPts-1] = Rd
  76. #DEBUG
  77. # print("last element of rL_ is :%15.6e"%(rL_[lnPts-1]))
  78. # print("first element of rG_ is :%15.6e"%(rG_[0]))
  79. r_ = np.concatenate((rL_,rG_))
  80. # assign temperature values
  81. TL_ = np.ones(lnPts)*dropTemp
  82. T_ = np.concatenate((TL_,TG_))
  83. # assign pressure values
  84. P_ = np.ones(gnPts+lnPts) * P
  85. mdot_ = np.ones(gnPts+lnPts) * 0.0
  86. # write global arr to output file
  87. out=open(fileName,"w")
  88. for i in range(lnPts):
  89. out.write("%15.6e\t%15.6e\t"%(r_[i],T_[i]))
  90. for j in range(gas.n_species):
  91. out.write("%15.6e\t"%(liquidMassFracArr_[j]))
  92. out.write("%15.6e\t"%(P_[i]))
  93. out.write("%15.6e\n"%(mdot_[i]))
  94. for i in range(lnPts,lnPts+gnPts):
  95. out.write("%15.6e\t%15.6e\t"%(r_[i],T_[i]))
  96. for j in range(gas.n_species):
  97. out.write("%15.6e\t"%(gasMassFracArr_[j]))
  98. out.write("%15.6e\t"%(P_[i]))
  99. out.write("%15.6e\n"%(mdot_[i]))
  100. out.close()
  101. # =============================================================================
  102. # Following block defines the user defined parameters
  103. # =============================================================================
  104. if __name__ == "__main__" :
  105. fileName = "initialConditionTest.dat" #This script output the initial conditions
  106. #mech='sdMechMergedVer2.cti'
  107. mech='redKaust-C3.xml' #Mechanism name
  108. #mech='chem171.cti'
  109. gas = ct.Solution(mech)
  110. Rd = 200.0e-6 #droplet radius, Unit:[m]
  111. domainLength = Rd*50.0 #domain length, Unit:[m]
  112. shift = Rd * 3.0e0 #shift of mixing region from droplet surface
  113. Wmix = Rd * 5.0e0 #thickness of mixing layer for heptane mass fraction & Temperature distribution, Unit:[m]
  114. gNpts = 5000 #Number of grid points in gas phase
  115. lNpts = 500 #Number of grid points in liquid phase
  116. Tamb = 1400.00 #Temperature of ambient air, Unit : [K]
  117. Pamb = 20.0*ct.one_atm #Pressure of ambient air, Unit :[Pa]
  118. Td = 310.00 #Temperature of droplet surface, Unit: [K]
  119. deltaT = 20.0
  120. #RH = 0.0 #relative humidity
  121. #dropName = "NC7H16:0.80,C3H8:0.20" #Name of droplet species
  122. dropName ="NC7H16:1.00"
  123. gasComposition = "O2:0.21,N2:0.79"
  124. writeGlobalArr(Rd, domainLength, shift, Wmix, Td, Tamb,deltaT, Pamb, dropName, gasComposition, gas, lNpts, gNpts, fileName)
  125. # writeGlobalArr(Rd, L, shift, Wmix, dropTemp, gasTemp, P, dropSpec, gasSpec, gas, lnPts, gnPts, fileName)
  126. #writeInitCond(Rd, domainLength, shift, Wmix, nGrid, Tamb, Pamb, Td, RH, gas, dropName, oxidizerName, bathName, fileName)
  127. # genTotalMassfracArr(Rd, domainLength, shift, Wmix, nGrid, Tamb, Pamb, Td, RH, gas, dropName, oxidizerName, bathName)
  128. # genTemArr(Rd, domainLength, shift, Wmix, nGrid, Tdrop, Tamb)
  129. # genMolefracArr(Rd, domainLength, shift, Wmix, nGrid, Tamb, Pamb, Td, RH)