Effect of Magnetic Field on Double Convection Flow of Viscous Fluid over a Moving Vertical Plate with Constant Temperature and General Concentration by using New Trend of Fractional Derivative

Nehad Ali Shah,Ahmad Hajizadeh,Muhammad Zeb,Sohail Ahmad,Yasir Mahsud,Isaac Lare Animasaun

doi:10.30538/oms2018.0033

Abstract

Effect of Magnetic Field on Double Convection Flow of Viscous Fluid over a Moving Vertical Plate with Constant Temperature and General Concentration by using New Trend of Fractional Derivative

Highlights

The enthusiasm in fluid mechanics is really meaningful in the presence of “transport phenomena, which is a significant feature in thermal, chemical, and mechanical engineering science
Free convection flows resulting from the heat and mass transfer driven by the combined buoyancy effect due to temperature and concentration variations have been extensively studied, due to their various applications in geosciences, chemical engineering, and industrial activities as food processing and polymer production
Shah et al [12]applied the idea of the Caputo-Fabrizio fractional derivatives to generalize the starting flow of second grade fluid over a vertical plate and obtained the exact solutions using the Laplace transform technique

Summary

Introduction

The enthusiasm in fluid mechanics is really meaningful in the presence of “transport phenomena, which is a significant feature in thermal, chemical, and mechanical engineering science. ⃝c 2018 Nehad Ali Shah, Ahmad Hajizadeh, Muhammad Zeb, Sohail Ahmad, Yasir Mahsud, Isaac Lare Animasaun. Free convection flows resulting from the heat and mass transfer driven by the combined buoyancy effect due to temperature and concentration variations have been extensively studied, due to their various applications in geosciences, chemical engineering, and industrial activities as food processing and polymer production. Shah et al [12]applied the idea of the Caputo-Fabrizio fractional derivatives to generalize the starting flow of second grade fluid over a vertical plate and obtained the exact solutions using the Laplace transform technique. Some other recent studies can be found in [13,14,15,16,17] and the references therein

Mathematical formulation of the problem

Solution of the problem

Numerical results and discussions

Conclusions