Fluid Flow along the Riga Plate with the Influence of Magnetic Force in a Rotating System

TL;DR

This study numerically investigates fluid flow along a Riga plate influenced by magnetic forces in a rotating system, analyzing velocity, temperature, shear stress, and heat transfer characteristics.

Contribution

It introduces a numerical approach to analyze magnetohydrodynamic flow along a Riga plate in a rotating system using transformed boundary layer equations.

Findings

Magnetic force significantly affects velocity and temperature profiles.

Rotation impacts shear stress and heat transfer rates.

Numerical stability and convergence are confirmed.

Abstract

The fluid flow along the Riga plate with the influence of magnetic force in a rotating system has been investigated numerically. The governing equations have been derived from Navier-Stokes equations. Applying the boundary layer approximation, the appropriate boundary layer equations have been obtained. By using usual transformation, the obtained governing equations have been transformed into a coupled dimensionless non-linear partial differential equation. The obtained dimensionless equations have been solved numerically by explicit finite difference scheme. The simulated results have been obtained by using MATLAB R2015a. Also the stability and convergence criteria have been analyzed. The effect of several parameters on the primary velocity, secondary velocity, temperature distributions as well as local shear stress and Nusselt number have been shown graphically.