Exact Symmetric Solutions of MHD Casson Fluid Using Chemically Reactive Flow with Generalized Boundary Conditions

Dynamic analysis of magnetic fluids with the combined effect of heat sink and chemical reactions based on their physical properties demonstrates strong shock resistance capabilities, low-frequency response, low energy consumption, and high sensitivity. Therefore, the applied magnetic field always takes diamagnetic, ferromagnetic, and paramagnetic forms. The influence of radiation is considered in the temperature profile. This manuscript investigates an analytic solution of incompressible and magnetic Casson fluid in Darcy's medium subjected to temperature and concentration dependence within a porous-surfaced plate with generalized boundary conditions. The substantial mathematical technique of the Laplace transform with inversion is invoked in the governing equations of the magnetic Casson fluid. The analytic results are transformed into a special function for the plate with a constant velocity, a plate with linear velocity, a plate with exponential velocity, and a plate with sinusoidal velocity. Graphical illustrations of the investigated analytic solutions at four different times are presented. Our results suggest that the velocity profile decreases by increasing the value of the magnetic field, which reflects the control of resistive force. The Nusselt number remains constant at a fixed Rd and is reduced by raising the Rd value.

Automated summary

The dynamic analysis of magnetic fluids with the combined effect of heat sink and chemical reactions demonstrates strong shock resistance capabilities, low-frequency response, low energy consumption, and high sensitivity. The research investigates the analytic solution of incompressible and magnetic Casson fluid in a porous-surfaced plate with boundary conditions, utilizing the Laplace transform to analyze the governing equations. Graphical illustrations of the analytic solutions at four different times are presented, showing the decrease of velocity profile with increasing magnetic field value and the impact on Nusselt number with different Rd values.