MHD Convection with Joule Heating and Internal Heat Generation in a Two-Layer Discretely Heated Chamber Partly Filled with Porous Medium
Abstract
The present research presents an innovative approach by integrating magnetohydrodynamic (MHD) flow with resistive heating,integrating a partly permeable layer and interior heat production to scrutinize natural convective flow within a square domain. Italso examines both straight and wavy interfaces between the porous and fluid domains. Engaging the Galerkin finite element-basedweighted residual approach, numerical solutions are obtained by unraveling the two-dimensional Navier–Stokes and thermalenergy equations for pure fluid and fluid-saturated porous domains. The parametric variations include Rayleigh numbers (Ra),porous layer thickness (H), corrugation frequency ( f ), corrugation amplitude (A), Hartmann number (Ha), and the heat produc-tion coefficient (Δ). This study assesses the thermal effectiveness of a discrete thermal source, considering variations in porous layerthickness, corrugation frequency and amplitude, magnetic force intensity, and heat production impacts. The discoveries aredemonstrated resolvably through the Nusselt number along the warmed edge, thermal performance criterion, and a qualitativeportrayal of flow and thermal fields. After extensive analysis, it becomes apparent that reduced thickness of the porous layer,corrugation frequency, and amplitude enhance thermal performance. However, diminished porous layer thickness and corrugationfrequency contribute to higher thermal performance criterion (TPC), whereas decreased corrugation amplitude results in a lowerTPC. Specifically, the lowest values of H, A, and f result in 11.5%, 0.6%, and 0.1% higher thermal performance, respectively,compared to their highest values. Furthermore, a straight fluid-saturated porous to the pure fluid domain interface, as opposed to awavy interface at the highest H, A, and f values, offers a 0.7% improvement in thermal performance
Keywords: Mixed Convection; Internal Heat Generation; Magnetism; Joule Heating