Abstract
Unsteady magnetohydrodynamics (MHD) flow of fractionalized Brinkman-type fluid over a vertical plate is discussed. In the model of problem, additional effects such as heat generation/absorption and chemical reaction are also considered. The model is solved by using the Caputo fractional derivative. The governing dimensionless equations for velocity, concentration, and temperature profiles are solved using the Laplace transform method and compared graphically. The effects of different parameters like fractional parameter, heat generation/absorption Q , chemical reaction R, and magnetic parameter M are discussed through numerous graphs. Furthermore, comparison among ordinary and fractionalized velocity fields are also drawn. From the figures, it is observed that chemical reaction and magnetic field have decreasing effect on velocity profile, whereas thermal radiation and mass Grashof numbers have increasing effect on the velocity of the fluid.
Highlights
Introduction e important significance of nonNewtonian fluids can be seen in applied mathematics, engineering, and physics
Semianalytical solution for MHD flow of Brinkman fluid with a combined concentration and temperature gradient over a plate is obtained. e generalized model is solved with a Caputo fractional derivative. e graph of concentration profile, temperature profile, and velocity profile are plotted for different parameters
Solution of free convection magnetohydrodynamic flow of Brinkman-type fluid has been obtained via Laplace transform
Summary
1 ≥ β > 0. Equation (14) is generalized by using Fourier Law defined by Povstenko and Hristov [44, 45]: q m1− 1 ≥ c > 0. 1 ≥ α > 0. Using equation (19) into equation (11), equation (20) (21) into equation (13), and equation (21) into equation (15), we have z RC(y, t). Dαt g(y, t).
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