Modelling Joule Heating in Magnetized Porous Structures Using Statistical Techniques

Nirisha, K; Sreedhar, S; Nagaradhika, V; Manjunatha, S; Ramesh, S; Bég, O Anwar

Abstract

Hybrid nanofluids have been utilized in various thermal engineering applications, including heat exchangers, materials science research, and industrial domains like solar trough collectors, food processing and aerospace engineering. This study's ultimate objective is to examine a Casson hybrid nanofluid's hydrodynamic and thermal behavior in a porous medium subjected to a bilinear stretching surface. The effects of thermal radiation, chemical reactions, volumetric heat source/sink, Joule heating, and viscous dissipation are all included in the mathematical model. When a magnetic field with inclination is present, the fluid is electrically conducting. By means of similarity transformations, the governing nonlinear coupled partial differential equations (PDEs) that characterize the flow phenomena are transformed into a system of coupled ordinary differential equations (ODEs). The MATLAB bvp4c solver in conjunction with a shooting technique yields numerical solutions. The outcomes, which show how different dimensionless parameters affect the flow field, temperature distribution, and concentration profiles, are displayed graphically and tabularly. The skin friction coefficient, Sherwood number, and Nusselt number at the stretching surface are among the derived quantities that are calculated and examined. As the Casson parameter rises, the momentum boundary layer becomes thinner. The Lorentz force causes the temperature to exhibit the inverse trend as the magnetic parameter increases, causing a drop in fluid velocity. The chemical reaction parameter and the Schmidt number tend to drop as the concentration profile rises, whereas the Soret effect demonstrates the exact reverse. According to statistical analysis using modified R-squared and R-squared metrics, this model matches the skin friction coefficient exceptionally well, with an average accuracy of 99.87%. The Nusselt number is noticeably more sensitive to thermal radiation and heat sources than the Dufour effect. Nomenclature: Subscripts hnf A combination of two or more distinct nanomaterials (hybrid nanofluid)

• Journal Article Type: Article
• Acceptance Date: Jun 3, 2025
• Deposit Date: Jun 9, 2025
• Print ISSN: 1385-2000
• Electronic ISSN: 1573-2738
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Keywords: Heat transfer; Three-dimensional flow; MHD; Hybrid nanofluid; Soret and Dufour effect