Effect on heat transfer for laminar flow over Backward Facing Step with square cylinder placed inside using Higher Order Compact Scheme

The purpose of this paper is to study the influence of an adiabatic square cylinder on the heat transfer enhancement in the 2D laminar flow over the Backward Facing Step (BFS). This work also studies the effect of streamwise position of the square cylinder on heat transfer enhancement. The governing equations, for the 2D laminar flow over BFS with a square cylinder placed inside, are solved on nonuniform Cartesian grid using projection method. The individual differential terms of the N-S equations are discretized using a Higher Order Compact Scheme (HOCS). The numerical code is first validated with the results available in the literature. The main advantage of HOCS is to obtain higher order approximations to the derivatives accurately without the necessity of higher number of nodes. Thus reducing the computational cost. It is observed from the numerical experiment that placing the cylinder affects the fluid flow and heat transfer and for XC=1.4, YC = 1.0 and Re= 200, there is a maximum heat transfer enhancement of 193.93%.The results of these numerical experiments are useful in studying the heat transfer enhancement and its dependence on the bluff body and flow characteristics. This work has its applications in engineering problems where the heat transfer in a laminar flow regime can be enhanced using a bluff body. The current work also demonstrates the dependence of horizontal position of cylinder on heat transfer augmentation.