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Old   April 3, 2017, 02:05
Default LBM- Nanofluid
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Arun Sathiyamoorthi
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Hi everyone, I am working Lattice boltzmann method. Recently i faced some problems in that. currently im working in nanofluids. i have calculated all the properties using the respected equations and calculated Rayleigh number and Prandtl number for nanofluids. I have used these two in my coding but im not getting the correct ans. Someone kindly help me.

double rhonf = ((1-phi)*rhof)+(phi*rhop);
double betanf = (rhobetanf/rhonf);
double munf = muf/pow((1-phi),2.5);
double ks = ( kp+2*kf-2*phi*(kf-kp))/(kp+2*kf+phi*(kf-kp));
double knf = ks*kf;

double Prnf = (munf*cpnf) /(knf);
double Ranf = (rhobetanf*kf*rhocpnf*muf*Ra)/ (rhof*betaf*knf*rhof*Cpf*munf);


double visco = NY*Ma*(1/sqrt(3)*(sqrt(Prnf/Ranf)));
double rho0 = 6.0;
double alpha = visco/Prnf;
double omega = 1.0/((3.0*visco)+0.5);
double omegat =1.0/((3.0*alpha)+0.5);
double gbeta = Ranf*visco*visco/(float(NX*NX*NX)*Prnf); double rhocpnf = ((1-phi)*(rhof*Cpf))+(phi*rhop*Cpp);
double cpnf = (rhocpnf/rhonf);
double rhobetanf = ((1-phi)*(rhof*betaf))+(phi*rhop*betap);
double betanf = (rhobetanf/rhonf);
double munf = muf/pow((1-phi),2.5);
double ks = ( kp+2*kf-2*phi*(kf-kp))/(kp+2*kf+phi*(kf-kp));
double knf = ks*kf;

double Prnf = (munf*cpnf) /(knf);
double Ranf = (rhobetanf*kf*rhocpnf*muf*Ra)/ (rhof*betaf*knf*rhof*Cpf*munf);


double visco = NY*Ma*(1/sqrt(3)*(sqrt(Prnf/Ranf)));
double rho0 = 6.0;
double alpha = visco/Prnf;
double omega = 1.0/((3.0*visco)+0.5);
double omegat =1.0/((3.0*alpha)+0.5);
double gbeta = Ranf*visco*visco/(float(NX*NX*NX)*Prnf);
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Old   November 27, 2018, 09:47
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Med oumza
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Quote:
Originally Posted by @arun View Post
Hi everyone, I am working Lattice boltzmann method. Recently i faced some problems in that. currently im working in nanofluids. i have calculated all the properties using the respected equations and calculated Rayleigh number and Prandtl number for nanofluids. I have used these two in my coding but im not getting the correct ans. Someone kindly help me.

double rhonf = ((1-phi)*rhof)+(phi*rhop);
double betanf = (rhobetanf/rhonf);
double munf = muf/pow((1-phi),2.5);
double ks = ( kp+2*kf-2*phi*(kf-kp))/(kp+2*kf+phi*(kf-kp));
double knf = ks*kf;

double Prnf = (munf*cpnf) /(knf);
double Ranf = (rhobetanf*kf*rhocpnf*muf*Ra)/ (rhof*betaf*knf*rhof*Cpf*munf);


double visco = NY*Ma*(1/sqrt(3)*(sqrt(Prnf/Ranf)));
double rho0 = 6.0;
double alpha = visco/Prnf;
double omega = 1.0/((3.0*visco)+0.5);
double omegat =1.0/((3.0*alpha)+0.5);
double gbeta = Ranf*visco*visco/(float(NX*NX*NX)*Prnf); double rhocpnf = ((1-phi)*(rhof*Cpf))+(phi*rhop*Cpp);
double cpnf = (rhocpnf/rhonf);
double rhobetanf = ((1-phi)*(rhof*betaf))+(phi*rhop*betap);
double betanf = (rhobetanf/rhonf);
double munf = muf/pow((1-phi),2.5);
double ks = ( kp+2*kf-2*phi*(kf-kp))/(kp+2*kf+phi*(kf-kp));
double knf = ks*kf;

double Prnf = (munf*cpnf) /(knf);
double Ranf = (rhobetanf*kf*rhocpnf*muf*Ra)/ (rhof*betaf*knf*rhof*Cpf*munf);


double visco = NY*Ma*(1/sqrt(3)*(sqrt(Prnf/Ranf)));
double rho0 = 6.0;
double alpha = visco/Prnf;
double omega = 1.0/((3.0*visco)+0.5);
double omegat =1.0/((3.0*alpha)+0.5);
double gbeta = Ranf*visco*visco/(float(NX*NX*NX)*Prnf);
Dear @arun


I am using alos LBM to simulate the nanofluids behaviour. But, I have a problem with in physical units conversion to the lattice ones. Thank you a lot if you can help me
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