Estimation of Boundary Conditions in a Conduction-Radiation Problem
M. Ajith1,a, R. Das2,c, Subhash C. Mishra2,d and R. Uppaluri1,b
1Department of Chemical Engineering, Indian Institute of Technology Guwahati, Guwahati 781 039, India.
aajith@iitg.ernet.in
bramgopalu@iitg.ernet.in
2Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati 781 039, India.
cr.das@iitg.ernet.in
dscm_iitg@yahoo.com
ABSTRACT
This article deals with the estimation of the steady-state heat flux on one boundary of a planar participating medium involving conduction-radiation heat transfer. The design requirement specifies boundary temperature at one of the boundary and for this prescribed limit, of heat flux distribution at the other surface needs is calculated. The desired heat flux on the design surface in the combined conduction and radiation heat transfer problem is estimated using the lattice Boltzmann method and the finite volume method in which the energy equation is solved using the lattice Boltzmann method and the radiative information is computed using the finite volume method. Optimization of the objective function has been performed using the genetic algorithm.
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