NUMERICAL STUDY OF NATURAL CONVECTION IN AN ENCLOSED SQUARE CAVITY USING CONSTRAINED INTERPOLATED PROFILE (CIP) METHOD

Asish Mitra

Abstract: In the present study, Constrained Interpolated Profile (CIP) method was used to simulate the natural convection heat transfer and fluid flow in an enclosed square cavity with differentially heated side walls. The fundamental idea of this method is to solve the advection phase equation with CIP method and the non-advection phase equation is calculated with finite difference method. CIPNSE is applied to predict the temperature and velocity profiles in a square cavity for various Rayleigh number: Ra=103 , 104 and 105 . The streamline and isotherms obtained under these conditions were then compared with those published in literature and found a good agreement

Keywords: Constrained Interpolated Profile (CIP), Finite Difference Method (FDM) and Lattice Boltzmann Method (LBM), Natural Convection, Square Cavity, Stream-Function Vorticity.

DOI: https://doi.org/10.15623/ijret.2013.0209003