Department of Mathematics, Shree Rama Educational Society Group of institutions (Integrated campus), Tirupathi, Chittor District, Andhra Pradesh, 517507 India
Department of Mathematics, Annamacharya Institute of Technology and Sciences Rajampet (Autonomous), Rajampet, Kadapa District, Andhra Pradesh, 516126,India
Department of Mathematics, Sri Venkateswara University, Tirupati, Andhra Pradesh, 517502, India
We have investigated an unsteady flow of a viscous, incompressible electrically conducting, laminar free convection boundary layer flow of a moving infinite vertical plate in a radiative and chemically reactive medium in the presence of a transverse magnetic field. The equations governing the flow are solved by Laplace transform technique. The expressions for velocity, temperature, concentration are derived and based on these quantities the expressions for skin friction; rate of heat transfer and the rate mass transfer near the plate are derived. The effects of various physical parameters on flow quantities, wise magnetic parameter, Grashof number, modified Grashof number, heat source parameter, the chemical reaction parameter, Schmidt number and radiation parameter are studied numerically and the results are discussed with the help of graphs. Some important applications of physical interest for different type motion of the plate like case (i) when the plate is moving with uniform velocity, case (ii) when the plate is moving with single acceleration and case (iii) when the plate is moving with periodic acceleration, are discussed.