Analysis of Forced Convection on Velocity Profile and Temperature Distribution in a Square Enclosure
Rasid Okeyo Odira *
Department of Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, Kenya.
Johana Kibet Sigey
Department of Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, Kenya.
Jeconia Okelo Abonyo
Department of Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, Kenya.
Bulinda M. Vincent
Department of Mathematics and Actuarial Science, Kisii University, Kenya.
*Author to whom correspondence should be addressed.
Abstract
The research project focused on a forced convection in a three dimensional square enclosure with a heater placed at the center of the room, a window on one of the adjacent walls of the enclosure and two fans fixed along the other wall. To carry out analyzing of the flow and heat transfer rate, a set of non-dimensionalized equations governing Newtonian fluid and boundary conditions were discussed. These equations with boundary conditions are discretized using central difference approximation method. The results obtained from finite difference equations (FDE) were then solved using MATLAB simulation software. The results found reveal that, both the horizontal and vertical velocity profiles are increased by Richardson number, and Reynolds number. Also Eckert number together with dimensionless heat absorption coefficient leads to an increase in the temperature distribution. The obtained results are presented in graphs and tables to show temperature distribution and velocity profile in the room with both physical and scientific explanations.
Keywords: Square enclosure, finite difference equations (fde), matlab simulation software, high velocity fluid, thermal resistance