Numerical simulations of natural convection and entropy generation in a square cavity with an adiabatic body

Abstract

The present work deals with the numerical simulations of natural convection and entropy generation in a two-sided differentially heated square cavity with an adiabatic square body located at the centre of the cavity. We have applied our recently proposed higher order compact scheme [1] based on nine-point compact stencil to spatial differencing of the streamfunction-vorticity formulation of the two-dimensional incompressible viscous flows governed by Navier-Stokes equations including the energy transport equations. In addition, local entropy generation distributions are computed using the steady-state values of velocity and temperature. The present results are compared with numerical results available in the literature and excellent match is observed in all the cases.