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.

This study is conducted on the magneto-hydrodynamics (MHD) boundary layer (BL) heat and mass transfer flow of thermally radiating and dissipative fluid over an infinite plate of vertical orientation with the involvement of induced magnetic field and thermal diffusion. The fluid motion is controlled by uniform suction. The constant heat and mass fluxes at the boundary (plate) have been considered to establish the boundary conditions. The foremost prevailing equations are converted into non-linear dimensionless partial differential equations (PDEs) by applying usual transformations. An efficient explicit finite difference method (FDM) has been performed to reckon the solution of the system of non-linear coupled PDEs in a numerical manner. To ensure the converging nature of the solutions, close observation and heed have been given to stability and convergence schemes. The MATLAB R2015a and Studio Developer FORTRAN 6.6a have been employed for numerical simulation of the schematic model equations. To quest steady-state, an experiment is performed on time simultaneously an experiment on mesh size is ascertained to assure a suitable mesh space. Also, a code verification test has been performed. In addition to that, the computational depictions and discussions have been undertaken on the impacts of significant parametric values for the velocity field, induced magnetic field, temperature, and concentration along with current density and shear stress. The reported results for the present numerical schemes have been compared with published papers in tables and plots. The suction parameter tends to pull down the quantitative measurement of velocity, temperature, and concentration. The induced magnetic field is affected decreasingly by the rising estimation of the magnetic parameter.

This study presents the numerical solution of velocity and temperature fields based on mass conservation, momentum and energy balances for the time-dependent Couette-Poiseuille flow of Bingham materials through channels. The channel flow of Bingham fluid concerns the flow of cement paste in the building industry and the mudflow in the drilling industry. The specific aim is to introduce the magnetohydrodynamic (MHD) phenomena specified by both Ion-slip and Hall currents into the non-isothermal channel flow in a theoretical approach. The Bingham constitutive equation is formulated by the generalized Newtonian fluid technique and solved by employing the explicit Finite Difference Method (FDM) using the MATLAB R2015a and Compaq Visual FORTRAN 6.6a both. For the exactness of numerical performance estimations, the criteria for stabilization and the convergence factor are analyzed. The velocity and temperature profiles are discussed individually at the moving and stationary walls of the channel. It is observed that magnetohydrodynamic phenomena accelerate the flow, and the temperature distributions reach the steady-state situation earlier than velocity distributions. Furthermore, the dominance of MHD parameters on the velocity distributions, shear stress, temperature distributions, and Nusselt number are discussed.

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This research aims to delve into the transient MHD flow over a porous plate having an inclination, with heat and mass diffusion by taking the radiative phenomenon into consideration. The flow controlling equations of continuity, momentum, energy, and concentration are developed using the boundary layer approximations. The radiative flux is described using a differential approximation. The governing time-dependent equations are brought into a conversion to create a system of non-dimensional partial differential equations (PDEs). Numerical schemes approaching the explicit finite difference method (EFDM) are employed to discretize and reckon the equations in dimensional agreement. Stability and convergence checking are prepared to ensure the converging restrictions of pertinent parameters. The profiles of velocity, concentration, and temperature have been illustrated graphically and discussed comprehensively.