Entropy Optimization and Heat Transfer Analysis of MHD Heat Generating Fluid Flow through an Anisotropic Porous Parallel Wall Channel: An Analytic Solution

Abstract

This communication carries out an analytic study on entropy optimization and heat spreading of an electrically conducting Newtonian fluid flow within permeable and parallel wall channel in a horizontal orientation. The medium is anisotropic porous passage and permeated by a uniform transverse magnetic field. Internal heat generation and heating friction are considered. Relevance and applications dwell in underground sewage and catalytic transportation as well as in liquid flow rheostats and sensors. Appropriate scaling alterations are administered to convert the governing partial differential equations (PDEs) to ordinary differential equations (ODEs). By means of the Laplace’s transform approach the solutions via basic flow controlling parameters values are evaluated exactly. Fluid dimensionless velocity and temperature distributions are sorted out based on the selected figures of embedded parameters, and their impacts examined quantitatively and studied in detail via graphs on heat transfer rate, Bejan number and entropy generation factor. Among others, our findings predict that suction-based viscosity parameter, magnetic and anisotropic permeability parameters retract the dimensionless axial velocity, whereas the entropy generation increases significantly by improved viscous dissipation. Escalation of fluid temperature is predetermined by medium anisotropy. Additionally, further outcomes unveil that not only Peclet and Reynolds based suctions fail to achieve an impact on the entropy generation but also the heat generation at the channel centerline.