Non-local modeling for fluid flow coupled with heat transfer by using peridynamic differential operator

Abstract

The problem of a fluid flow coupled with heat transfer is encountered in many engineering applications. In this study, a non-local model is developed towards such problems by using the peridynamic differential operator. The classical governing equations are reformulated from their differential forms into their integral forms. Furthermore, the non-local model is also cast into the non-dimensional form. Finally, the developed model is applied to simulate pure heat conduction, natural convection, and mixed convection problems. The simulation results are compared with the ones from ANSYS and the published literature. The validity of the proposed model is demonstrated good agreements. The non-local model developed in this study provides an alternative approach for the numerical simulations of the fluid flow coupled with heat transfer problems.