Riga – Plate flow of γ Al2O3-water/ethylene glycol with effective Prandtl number impacts

N Vishnu Ganesh,Qasem M Al-Mdallal,Sara Al Fahel,Shymaa Dadoa

doi:10.1016/j.heliyon.2019.e01651

Abstract

In many industrial processes, the cooling process can be improved by varying the flow geometry or changing the additives in the working fluid. The present work concentrates on the flow of γ Al2O3 –Water/Ethylene Glycol over a Gailitis and Lielausis device with an effective Prandtl number for the first time. The thermal transport aspects of electro-MHD boundary layer flow of γ Al2O3 nanofluids over a stretchable Riga plate are studied in two dimensions. The wall parallel Lorentz force is produced due to an external electric field by Riga plate to control the nanofluid flow. Mathematical models are developed with an effective Prandtl number. The no-slip and the prescribed surface temperature boundary conditions are assumed. Results are discussed using numerical results obtained by fourth order RK method with shooting technique. Special case analytical solutions are presented for both momentum and energy equations. The increasing behaviour in velocity profile and decreasing behaviours in temperature, skin friction and Nusselt number are observed with increasing modified Hartmann number. The higher modified Hartmann number leads to a sudden enhancement in the velocity profile of the nanofluid in the presence of effective Pr near the riga plate wall.

Highlights

Magnetohydrodynamics is a branch of modern theory of fluid dynamics that characterizes the electrohydromagnetic processes arising in electric conducting flows under the influence of magnetic field
Tsinober and Shtern [4] reported that the impacts of applying the Lorentz forces in wall-parallel direction are useful to increase the stability of Blasius flow over a Riga plate
Steady, electro MHD flow of γ Al2O3-Water/ Ethylene glycol nanofluid over a stretching Riga plate with stretching velocity uw 1⁄4 a x is considered (See Figs. 1 and 2)

Summary

Introduction

Magnetohydrodynamics is a branch of modern theory of fluid dynamics that characterizes the electrohydromagnetic processes arising in electric conducting flows under the influence of magnetic field. In classical MHD, the flow of highly electric conducting fluids could be dominated by an external magnetic field. The applied external magnetic field produces very small amount of current in weakly electric conducting fluids (e.g. sea water). Tsinober and Shtern [4] reported that the impacts of applying the Lorentz forces in wall-parallel direction are useful to increase the stability of Blasius flow over a Riga plate. The effects of this type of Lorentz force on the boundary layer flow of viscous fluid are investigate in recent years [5, 6]

Methods

Results

Conclusion