Thermal boundary conditions at the fluid–solid interface in the case of a conducting body: a novel thermal lattice Boltzmann analysis

Abstract

In this paper, a novel thermal lattice Boltzmann approach is proposed for the implementation of the thermal boundary conditions at the fluid-solid interface. The numerical code, developed on the basis of the new approach, was validated against reliable numerical data from the literature in the cases of both square and circular conducting blocks. Analytical and experimental validations were also performed in the case of a circular block. The numerical tests show that the adopted approach makes it possible to handle interface problems with large thermal conductivity ratios. In the present study, this approach is validated first in the case of a square conducting block and used to simulate a conjugate convection-conduction problem in a square cavity enclosing a circular block. The novel developed TLBM approach reduces computational memory as well as numerical programming issues associated with the use of a hybrid method that combines the lattice Boltzmann method and classical methods.