Two Numerical Methods for Thermohaline Convection in MHD Squeezing Flow of Casson Fluid Saturated Porous Layer

The study investigates thermohaline magnetoconvection in the squeezing flow of a Casson fluid-saturated porous layer, where the fluid is electrically conducting. This research is driven by the significant role of heat and mass transfer in engineering processes such as casting and welding. The objective is to examine the interactions between assisting and opposing movements in heat and mass transfer within a porous channel under the combined effects of magnetohydrodynamics, Casson fluid dynamics, and squeezing flow phenomena not previously explored together. To achieve this, the nonlinear partial differential equations governing the system are transformed into a set of highly nonlinear, coupled fourth-order ordinary differential equations (ODEs) using appropriate similarity transformations. The resulting boundary value problem is solved numerically through the Hermite wavelet method (HWM) and the Differential Transformation Method (DTM). A brief introduction to DTM and HWM is provided, and these methods are utilized to derive solutions for the nonlinear coupled ODEs. The numerical results, which align well with previously published findings under limiting cases, are presented. Additionally, the study offers physical insights into various engineering parameters, such as the skin friction coefficient, local Nusselt number, and local Sherwood number, through graphical representations of velocity, temperature, and concentration profiles, as well as detailed tables.