Abstract
This article is concerned with the study of free convective unsteady magnetohydrodynamic flow of the incompressible Oldroyd-B fluid along with chemical reaction. The fluid flows on a vertical plate that is impulsively brought in motion in the presence of a constant magnetic field which is applied transversely on the fluid. The structure has been modeled in the form of governing differential equations, which are then nondimensionalized and solved using a numerical technique, that is, Crank–Nicolson’s scheme to obtain solutions for velocity field, temperature distribution, and concentration profile. These solutions satisfy the governing equations as well as all initial and boundary conditions. The obtained solutions are new, and previous literature lacks such derivations. Some previous solutions can be recovered as limiting cases of our general solutions. The effects of thermophysical parameters, such as Reynolds number, Prandtl number, thermal Grashof number, modified Grashof number, Darcy number, Schmidt number, dissipation function, magnetic field, radiation–conduction, chemical reaction parameter, relaxation and retardation times on the velocity field, temperature, and concentration of fluid, are also examined and discussed graphically.
Highlights
The concept of fluid flow is always around us either in the form of air surrounding us or water in rivers
It is clear that velocity and temperature profiles of the fluid of Oldroyd-B type are the smallest, while the fluids of Maxwell and Newtonian types have larger
A theoretical study of free convective two-dimensional unsteady flow of electrically conducting incompressible nonscattering Oldroyd-B fluid passing through a vertical plate in the presence of chemical reaction is presented
Summary
The concept of fluid flow is always around us either in the form of air surrounding us or water in rivers. The air is not still as well as water is not at rest in rivers. When fluid mechanics was not developed, people did not know the actual reason of fluid flow.[1,2] Fluid can be divided into many categories. The non-Newtonian fluids can be further classified as of rate, integral, and differential types.
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