Unsteady MHD Plane Couette-Poiseuille Flow of Fourth-Grade Fluid with Thermal Radiation, Chemical Reaction and Suction Effects

Abstract

This study investigates the unsteady MHD flow of a fourth-grade fluid in a horizontal parallel plates channel. The upper plate is oscillating and moving while the bottom plate is stationary. Solutions for momentum, energy and concentration equations are obtained by the He-Laplace scheme. This method was also used by Idowu and Sani [12] and there is agreement with our results. The effect of various flow parameters controlling the physical situation is discussed with the aid of graphs. Significant results from this study show that velocity and temperature fields increase with the increase in the thermal radiation parameter, while velocity and concentric fields decrease with an increase in the chemical reaction parameter. Furthermore, velocity, temperature and concentric fields decrease with an increase in the suction parameter. It is also interesting to note that when S4 = 0, our results will be in complete agreement with Idowu and Sani [12] results. The results of this work are applicable to industrial processes such as polymer extrusion of dye, draining of plastic films etc.

Delta Perturbation Method for Couette-Poiseuille flows in Third grade fluids

“…The third-grade plane Couette-Poiseuille flow problem was examined in this work utilizing the delta perturbation approach. Numerous scholars have investigated this type of issue using a variety of techniques [15], [9], [16], [18], [12], [11]], particularly the homotopy perturbation method HPM, the Adomian decomposition method ADM, the optimal homotopy asymptotic approach OHAM, and various numerical techniques. Our primary goal is to use the DPM (delta perturbation method) to solve the problem.…”