Abstract

This paper analyzes the thermal radiation effects on unsteady free convective flow of a viscous incompressible flow past an exponentially accelerated infinite vertical plate with variable temperature and mass diffusion. At time the plate is linearly accelerated with a velocity exp in its own plane. And at the same time, plate temperature and concentration levels near the plate raised linearly with time t. The system of equations such as equation of momentum, energy, mass diffusion has been transformed by usual transformation into a non-dimensional form. An exact solution to the dimensionless governing equations has been obtained by the Laplace transform method in terms of exponential function and complementary error function. All the numerical calculations are done with respect to air (Pr=0.71). The temperature, the concentration, the primary and the secondary velocity profiles are studied for different parameters such as rotation parameter, Hall parameter, Hartmann number, Schmidt number, radiation parameter thermal Grashof number and mass Grashof number, accelerated parameter and time and presented through graphs.

Highlights

  • Study of flow with heat and mass transfer play an important role in engineering sciences

  • In order to get the physical insight into the problem the numerical values of the velocity, temperature and concentration fields are studied for different physical parameters such as Rotation parameter, Hall parameter, Hartmann number, Schmidt number, radiation parameter thermal Grashof number and mass Grashof number, accelerated parameter and time upon the nature of flow and transport

  • We have considered the theoretical solution of flow past an exponentially accelerated isothermal vertical plate in the presence of variable temperature and mass diffusion

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Summary

Introduction

Study of flow with heat and mass transfer play an important role in engineering sciences. Ahmmed et al [1] have analyzed radiation and mass transfer effects on MHD free convection flow past a vertical plate with variable temperature and concentration. Saraswat [2] studied heat and mass transfer on flow past an exponentially accelerated infinite vertical plate with variable temperature and mass diffusion through a porous medium. Kumar and Verma [4] discussed radiation effects on MHD flow past an impulsivly started exponentially accelerated vertical plate with variable temperature in the presence of heat generation. Muthucumarasamy and Visalakshi [5] investigated radiative flow past an exponentially accelerated vertical plate with variable temperature and mass diffusion in the presence of magnetic field. Sanatan Das et al [8] investigated radiation effects on free convection MHD couette flow started exponentially with variable wall temperature in presence of heat generation. Uwanta and Sarki [11] presented heat and mass transfer with variable temperature and exponential mass diffusion

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