Rotation Effects on Unsteady Flow Past an Accelerated Isothermal Vertical Plate With Variable Mass Transfer in the Presence of Chemical Reaction of First Order

Authors

1 Department of Applied Mathematics, Sri Venkateswara College of Engineering, Sriperumbudur 602105, India.

2 Department of Mathematics, Mohamed Sathak A .J .College of Engineering, Chennai 603 103, India

3 Department of Mathematics, S.T.Hindu College , Nagercoil, India

Abstract

An exact analysis of rotation effects on unsteady flow of an incompressible and electrically conducting fluid past a uniformly accelerated infinite isothermal vertical plate with variable mass diffusion, under the action of transversely applied magnetic field has been presented. The plate temperature is raised to Tw and the concentration level near the plate is raised linearly with time. The dimensionless governing equations are solved using Laplace-transform technique. The velocity profiles, temperature and concentration are studied for different physical parameters like magnetic field parameter, chemical reaction parameter, thermal Grashof number, mass Grashof number, Schmidt number, Prandtl number and time. It is observed that the velocity increases with increasing values of thermal Grashof number or mass Grashof number. It is also observed that the velocity increases with decreasing magnetic field parameter or rotation parameter Ω.

Keywords