Chemically Reacting Fluid Flow Induced by an Exponentially Accelerated Infinite Vertical Plate in a Magnetic Field and Variable Temperature via Ltt and Fem

In this research paper, we found both numerical and analytical solutions for the effect of chemical reaction on unsteady, incompressible, viscous fluid flow past an exponentially accelerated vertical plate with heat absorption and variable temperature in a magnetic field. The flow problem is governed by a system of coupled non-linear partial differential equations with suitable boundary conditions. We have solved the governing equations by an efficient, accurate, powerful finite element method (FEM) as well as Laplace transform technique (LTT). The evaluation of the numerical results are performed and graphical results for the velocity, temperature and concentration profiles within the boundary layer are discussed. Also, the expressions for the skin-friction, Nusselt number and the Sherwood number coefficients have been derived and discussed through graphs and tabular forms for different values of the governing parameters. Nomenclature A Small positive parameter B0 External magnetic field (tesla) C ′ Species concentration (molm−3) C ′ w Concentration of the plate (molm−3) C ′ ∞ Concentration of the fluid far away from the plate (molm−3) Cf Skin-friction coefficient (N m−3) Cp Specific heat at constant pressure (J kg−1K−1) D Solute mass diffusivity (m s−1) g Acceleration due to gravity (m s−2) Gr Grashof number for heat transfer Gc Grashof number for mass transfer K ′ r Dimensional chemical reaction parameter 2010 Mathematics Subject Classification: 76W05, 65N30, 74V05.