Inspection of Couette and pressure-driven Poiseuille entropy-optimized dissipated flow in a suction/injection horizontal channel: Analytical solutions

Abstract

The main aim of this study is to analyse the electrically conductive flow of compressible liquids by two infinitely permeable surfaces. The distance between the two surfaces is hh. Thermal relation consists of viscous dissipation. The entropy features along with magnetic force and dissipation are taken into account. The x-axis extends in the flow path along the bottom stationary plate, whereas the y-axis is orthogonal to the surfaces. The channel plates are subjected to a consistent transverse magnetic field that is implemented perpendicularly. Herein, two scenarios are investigated: the first is the Couette flow, and in the second scenario, both porous surfaces are parallel and fixed at a distance of 2h, and the motion is a Poiseuille flow controlled by pressure. The flow across the xx-axis is supposed to be generated and dependent on yy exclusively. The governed system is solved using analytical solutions. It is found that the entropy formation is higher near the cloud porous plate in comparison to the hot porous plate and the increasing values of the suction/injection parameter increase the fluid temperature. The increase in the magnetic field parameter decreases the momentum boundary layer thickness. The Brinkman number improves the thermal boundary thickness. The magnetic field parameter, suction/injection, and the Brinkman number accelerate the entropy formation in both cases.

Keywords

• analytical solution
• viscous dissipation
• suction/injection
• mhd
• horizontal channels and entropy formation