Computational Analysis of Heat and Mass Transfer Dynamics on Vertical Surfaces with Algebraic Velocity Decay

Abstract
The purpose of current work is to investigate the numerical simulation of two dimensional, incompressible, mixed convection flows with algebraic decay of mainstream velocity. Two dimensional, viscous, incompressible fluid flow along with double diffusion in momentum equation is considered. For this purpose, the mathematical model of the proposed problem is formulated in according with the statement of conservative laws. The proposed mathematical model is formulated in terms of non-linear coupled partial differential equations. In order to get straightforward algorithm a system of primitive variable formulation is used. The primitive form of the system of partial differential equations is integrated by using Finite Difference Method. The numerical values of the unknown variables involved in the flow model is find by using LU-decomposition procedure. Further, the physical behavior of momentum and temperature fields for different values of dimensionless parameters involved in the fluid flow model is highlighted. The obtained results are highlighted graphically and as well in tabular form. We observed that as the algebraic decay parameter \r\n increases, velocity and temperature profiles along with mass concentrations are increased and very stably asymptotic. Further, it is mention that all the obtained numerical results are satisfied by the g boundary conditions given in the flow model. Algebraic decay velocity influences the heat transfer rate by effecting the thermal boundary layer and enhancing the temperature gradients, which can be critical in applications like cooling systems and aerodynamics system.

Author
Rasan Sarbast Faisal

DOI
https://doi.org/10.1016/j.thradv.2025.100056

ISSN
3050-4635

Publish Date: 2025-06-04