Abstract
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.
Highlights
Heat transfer is mainly observed due to variation in the temperature of bodies
This section is devoted to the physical interpretation of the heat and mass transfer executed on the motion of free-convection MHD Casson fluid through a limitless plate with porous medium
The impact of thermal radiation, chemical reactions, and magnetic fields are analyzed via the Laplace transformation to obtain a unique solution
Summary
Heat transfer is mainly observed due to variation in the temperature of bodies. This process plays a vital role in mechanization and industries such as climate engineering, device cooling, nuclear power plants, and energy acquisition. With the relationship between strain rate and stress, non-Newtonian fluids, polymer solutions, slurries, and pastes, to mention just a few, are difficult for developing mathematical modeling in terms of differential equations. Abd El-Aziz and Afify [23] numerically analyzed the slippage of Casson nanofluid to enhance the warmth transfer of an overextended sheet Their main emphasis was to validate their obtained results by comparing them with existing literature. Motivated by the above discussion, we analyzed an analytic solution of incompressible and magnetic Casson fluid subjected to temperature and concentration dependence within a porous-surfaced plate. The intention of this manuscript is to develop exact symmetric solutions of MHD Casson fluid with chemically reactive flow with the help of generalized boundary conditions.
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