Immersed Boundary- Thermal Lattice Boltzmann Method with Sharp Interface: Heat Transfer of Non-Newtonian Fluid over a Cylinder

In the current study, the problem of heat transfer in non-Newtonian fluid flow over a cylinder has been simulated using the Immersed Boundary – thermal lattice Boltzmann method and direct forcing algorithm. The sharp interface scheme isused to transfer the values of velocity and temperature between the fluid Eulerian and boundary Lagrangian nodes. In order to consider the effects of both discrete grid and boundary forces (thermal forces), the split-forcing lattice Boltzmann method is developed for non-Newtonian power-law fluids. A simple technique for calculating the Nusselt number based on the sharp immersed boundary method is extracted. Heat transfer of different fluid regimes consist of steady and unsteady flow in wide ranges of Reynolds numbers (20