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

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.

Image Encryption Based on Arnod Transform and Fractional Chaotic

“…Inspired by Guocheng Wu 's related literature [22], and non-Fourier's heat flux and non-Fick's mass flux theory had been used to save the numerical study of bioconvection flow of nanofluids [23][24][25][26][27]. we introduce the fractional order chaotic sequence to improve the Arnold transform.…”

Numerical Simulations of Chemically Dissipative MHD Mixed Convective Non-Newtonian Nanofluid Stagnation Point Flow over an Inclined Stretching Sheet with Thermal Radiation Effects

“…Guadagli et al, [15] studied a symmetric channel Casson flow using the lubrication approximation. The effects of heat sinks and chemical processes on magnetic fluids were investigated by Saeed et al, [16]. This study examines the effects of temperature and concentration dependence on an incompressible magnetic Casson fluid in Darcy's medium inside a porous-surfaced plate subject to generalised boundary conditions.…”

Mild Solutions for the Time-Fractional Navier-Stokes Equations with MHD Effects

“…These equations provide a natural characterization of the interaction of a viscous liquid with rigid bodies [12]. Qayyum et al [13], Rehman et al [14] and Saeed et al [15] worked on MHD. Niazi et al [16], Shafqat et al [17], Alnahdi [18], Khan [19] and Abuasbeh et al [20] investigated the existence and uniqueness of the fractional evolution equations.…”