Abstract
Riga plate is the span wise array of electrodes and permanent magnets that creates a plane surface and produced the electromagnetic hydrodynamic fluid behavior and mostly used in industrial processes with fluid flow affairs. In cases where an external application of a magnetic or electric field is required, better flow is obtained by the involvement of the Riga plate. Riga plate acts as an agent to reduce the skin friction and enhance the heat transfer phenomena. It also diminishes the turbulent effects, so that it is possible to get an efficient flow control and it increases the performance of the machine. So the numerical investigation of the unsteady Couette flow with Hall and ion-slip current effects past between two Riga plates has been studied and the numerical solutions are acquired by using explicit finite difference method and estimated results have been gained for several values of the dimensionless parameter such as pressure gradient parameter, Hall and Ion-slip parameters, modified Hartmann number, Prandtl number, and Eckert number. In this article, the importance of the modified Hartmann number on the flow profiles is immense owing to the Riga plate. The expression of skin friction and Nusselt number has been computed and the outcomes of the relevant parameters on various distributions have been sketched and presented as well as graphically.
Highlights
The highly conducting fluids are controlled by magneto-hydrodynamics flow with the influence of an external magnetic field known as classical MHD flow control
The formulation of the Riga plate is the combination of electrodes and permanent magnets create a plane surface instead of polarity and magnetization that produce a wall parallel Lorentz force to control the fluid flow that was first introduced by Gailitis and Leilausis [1]
Primary velocity profile u increases for the increasing values of pressure gradient parameter α, Hall parameter βe and modified Hartmann number
Summary
The highly conducting fluids are controlled by magneto-hydrodynamics flow with the influence of an external magnetic field known as classical MHD flow control. The influence of MHD Couette flows with Hall and Ion slip current has a great importance of experimental and theoretical applications in magnetic material processing, astrophysics, polymer technology, heating electrostatics, nuclear engineering, pumps and power generators, geophysical and industrial fields. From this point of view, an unsteady Couette flow of an incompressible fluid with Ion-slip effect and with the influence of an external uniform magnetic field which is perpendicular to the plates is discussed in [17] and the same flow with uniform suction and injection past between two parallel porous plates with heat transfer is discussed in [18] by Attia. The obtained results of different parameters have been shown graphically
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