Abstract

This study is performed on the numerical investigation of electro-magnetohydrodynamic (EMHD) radiating fluid flow nature along an infinitely long vertical Riga plate with suction in a rotating system. The prevailing equations are generated from the Navier–Stokes’ and energy equations. A uniform suction velocity is introduced to control the flow. The prevailing boundary layer (BL) equations are the stuff to delineate the mechanical features of the flowing nature along with the electromagnetic device (Riga plate). Accordingly, the use of usual transformations on the equations transformed those into a coupled dimensionless system of non-linear partial differential equations (PDEs). After conversion, the elucidation of the set of equations is conducted numerically by an explicit finite difference method (FDM). The criteria for stable and converging solutions are constructed to find restrictions on various non-dimensional parameters. The retrieved restrictions are P_{r} ge 0.19,,R_{d} ge 0.1,,,S ge 1,E_{c} = 0.01,, and 0 < R le 0.1. Furthermore, sensitivity tests on mesh and time as well as comparison within the literature have been demonstrated in graphical and tabular form. Finally, the important findings of the non-dimensional parameters influences have been portrayed in graphical manner by using the MATLAB R2015a tool. A substantial uprise is noted for both the velocities (secondary and primary) under the rising actions of the modified Hartmann number, whereas the suction parameter suppresses both the velocities.

Highlights

  • An electromagnetic actuator that consists of the aggregation of adjusted magnets along with the spanwise arranged layout of electrodes with alternation mounting on a flat surface is indicated as a Riga plate

  • To the best of the authors’ knowing, no endeavor has yet been created to deal with the investigation of explicit finite difference method (FDM) solution on the unsteadiness nature of viscous and incompressible flow induced by the vertical Riga plate of infinite length by considering the MHD phenomena with system rotation, thermal radiation, and suction

  • Exploration of boundary layer (BL) incompressible and electrically conducting flow wielding through an infinite Riga plate in a rotating system under the action of MHD phenomena with suction and thermal radiation have been instituted numerically

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Summary

Introduction

An electromagnetic actuator that consists of the aggregation of adjusted magnets along with the spanwise arranged layout of electrodes with alternation mounting on a flat surface is indicated as a Riga plate. A large electrical conductivity is not often contained by all the available fluids Taking this deficiency into consideration, the Riga plate was foremost introduced by Gailitis and Lielausic [13] as a flow monitoring device to produce parallel Lorentz force to the wall. Hayat et al [24] observed the impact of the Riga plate involving in the EMHD flow of radiating and squeezing nature by addressing chemical reaction and convective conditions. To the best of the authors’ knowing, no endeavor has yet been created to deal with the investigation of explicit FDM solution on the unsteadiness nature of viscous and incompressible flow induced by the vertical Riga plate of infinite length by considering the MHD phenomena with system rotation, thermal radiation, and suction. The salient marks of the results have been portrayed graphically and depicted in words

Model establishment and analysis
Quantities of engineering curiosity
Numerical computation technique
Analysis of stability and convergence criteria
Results and discussions
Mesh sensitivity
Time sensitivity
Effects of affined parameters
Overall qualitative comparison
Conclusions
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