Analysis of mixed convection near a stagnation point on a vertical porous plate and heat generation

Abstract

This study explores the heat transfer characteristics of mixed convection flow near a stagnation point on a vertical plate in the presence of internal heat generation. The analysis assumes a steady, two-dimensional laminar flow and considers the combined effects of forced and natural convection. The boundary layer equations are employed to develop a model that considers heat generation and buoyancy. Similarity transformations are used to transform the governing partial differential equations into a system of ordinary differential equations which are then numerically solved using BVP4C solver in (MATLAB). The variation of the heat transfer coefficients  is the focus of the numerical results for different values of the mixed convection parameter heat generation parameter and the Prandtl number . The findings illustrate that when Prandtl number increases, the heat transfer coefficients  rise as well, signifying greater thermal diffusion and thinner thermal boundary layers. The heat transfer rate is also increased by increasing the mixed convection parameter  since buoyancy-driven flow occurs. Higher heat transfer coefficients  are also influenced by the presence of heat generation parameter  with the becoming more noticeable at higher Prandtl number  values. These results show how responsive the area of stagnation variation flow and thermal factors to provide important details to improve thermal management in systems that have significant volumetric and convectional heat sources.