Abstract
This work examines a steady and incompressible flow of 2-dimensional MHD tangent hyperbolic fluid over a linearly stretchable surface with an injection/suction effect. It also investigates the impact of thermal radiation, heat source/sink, a porous medium and variable thermal conductivity. The slippery boundary conditions are employed to consider the presence of velocity slip near the surface. The Lie symmetric analysis with a novel homotopy approach is used to study the influence of non-dimensional characteristics, including the Weissenberg number, the Hartmann number, the power-law index, the Prandtl number, the porosity parameter and the heat absorption/generation parameter, on the fluid flow and temperature. Moreover, the numerical data include an examination of the influence of various parameters on both the surface drag force and the heat transmission rate, presented through graphs and tables. Ultimately, the acquired outcomes have been numerically verified with the pre-existing results. Finally, the heat transmission rate escalates with the augmentation of the Prandtl number and the variable thermal conductivity parameter.
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