EMHD radiating fluid flow along a vertical Riga plate with suction in a rotating system

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 $$P_{r} \ge 0.19,\,$$ P r ≥ 0.19 , $$R_{d} \ge 0.1,\,\,$$ R d ≥ 0.1 , $$S \ge 1,$$ S ≥ 1 , $$E_{c} = 0.01\,\,$$ E c = 0.01 and $$0 < R \le 0.1$$ 0 < R ≤ 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.

Transient MHD Radiative Fluid Flow over an Inclined Porous Plate with Thermal and Mass Diffusion: An EFDM Numerical Approach

“…where, 𝜎 1 is the Stefan-Boltzmann constant. Expansion of 𝑇 4 in terms of 𝑇 ∞ by taking the Taylor series and avoiding the higher-orders, we have [38],…”

“…[31][32][33][34]. Further, the EFDM schemes have been taken by many researchers [35][36][37][38] to analyze multifarious geometries of flow under different circumstances.…”

Exploration of radiative heat on magnetohydrodynamic rotating fluid flow through a vertical sheet

“…Then, Patel 6 extended this study further for a rotating system with ramped wall temperature and analyzed the characteristics of the Hall current, heat generation, thermal radiation, permeability, and reacting species and noted that these parameters improve flow in both the involved directions. A numerical study on the behavior of MHD radiating flow over an infinitely long Riga plate in a gyratory structure has been performed by Khatun et al 7 using uniform suction velocity.…”

Ion-Slip Effects on Bingham Fluid Flowing Through an Oscillatory Porous Plate with Suction

“…The Soret and Hall impact on the study of unsteady MHD flow passing over a porous plate with changing suction criteria through a varying permeable medium are investigated [17]. For Bingham fluid, the Hall and Ion-slip effects through parallel plates [18,19], and the EMHD flow through parallel Riga plates [20,21] have been discussed. However, the Bingham fluid flow through an oscillatory channel with different physical aspects is yet to understand.…”