Modeling of heat transfer at the fluid–solid interface by lattice Boltzmann method

• We develop a technique to model conjugate heat transfer by lattice-Boltzmann method.
• We signify numerical tips in modeling backward-facing step flow and heat transfer.
• We represent the formulation for modeling the periodically fully developed problems.
• We analysis heat transfer based on thermal conductivities of solid medium and fluid.

Along with the developments of lattice-Boltzmann method in simulation of fluid flow, its thermal features should be also improved. An important problem which is encountered in many cases is the conjugate heat transfer or heat transfer at the fluid–solid interface. In this case, a strict technique is required to calculate the heat exchange between fluid and solid. Only a few works have been published regarding this phenomenon. In this paper, we have presented a model for analysis of the conjugate heat transfer. The model has been validated by two benchmarks: (I) Fluid flow and heat transfer in a backward-facing step channel with heated thick wall, and (II) Fluid flow and heat transfer in a channel with infinite number of heated obstacles mounted on the wall. The numerical tips concerned in the simulation of these problems by lattice-Boltzmann method have been also represented in the paper.