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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

theoretical and applied mechanics/theoretical and applied mechanics

Chemically reacting fluid flow induced by an exponentially accelerated infinite vertical plate in a magnetic field and variable temperature via LTT and FEM