Dynamics of Tangent Hyperbolic Fluid Past a Semi-infinite Plate with the Significance of Joule Heating, Thermal Radiation and Soret-Dufour Mechanisms

The present investigation concentrates on the unsteady flow of tangent hyperbolic liquid past a vertical plate under the influence of Lorentz force, Joule heating, and viscous dissipation. The mathematical modelling leads to nonlinear coupled partial differential equations (PDEs). Suitable non-dimensional quantities are applied to the governing PDEs to obtain dimensionless systems of equations. The transformed boundary layer PDEs are solved with the aid of the spectral relaxation method (SRM). The SRM employs the Gauss-Seidel techniques to linearize and decouple the system of nonlinear PDEs. The applied magnetic field acts as an opposition to the flow by producing the Lorentz force. The Weissenberg parameter, alongside the magnetic parameter, is observed to decline the velocity profile. An increment in thermal radiation parameter is observed to enhance the thickness of the hydrodynamic and thermal boundary layer. Therefore, the thermal condition and convective flow are improved with heat generation and thermal radiation in the flow phenomenon. This investigation is unique because it investigates the combined influence of Soret-Dufour and MHD, viscous dissipation, and Joule heating. This study plays a significant role in astrophysics, heat exchanger devices, MHD power generation, and geothermal energy extraction. When this study is compared to studies that have already been done, it agrees with those studies.