Simulation of natural convection heat transfer in an enclosed cavity using Constrained Interpolated Profile Navier-Stokes Equation (CIPNSE) method

Abstract

Constrained Interpolated Profile Navier-Stokes Equation (CIPNSE) method was introduced to simulate characteristic of the natural convection heat transfer mechanism and the nature of fluid flow exist in an enclosed square cavity with differentially heated side walls. The fundamental idea of this study is to solve the advection phase equation with CIP method and the non-advection phase equation is calculated with finite difference method. CIPNSE scheme solves hyperbolic equations for vorticity transport equation and the energy equation. The application of CIPNSE is to predict the phenomena of fluid flow in the cavity due to the effect of various Rayleigh number, Ra=103, 104 and 105. The results obtained were in streamline and isotherms at different Rayleigh number of the flow in the cavity. Corresponding results show a good agreement with the established results by C.S.N Azwadi and M.S.Idris. This numerical approach is found to be good in stability for solving the natural convection heat transfer problem effectively.