Abstract
The present research article is directed to study the heat and mass transference analysis of an incompressible Newtonian viscous fluid. The unsteady MHD natural convection flow over an infinite vertical plate with time dependent arbitrary shear stresses has been investigated. In heat and mass transfer analysis the chemical molecular diffusivity effects have been studied. Moreover, the infinite vertical plate is subjected to the phenomenon of exponential heating. For this study, we formulated the problem into three governing equations along with their corresponding initial and boundary conditions. The Laplace transform method has been used to gain the exact analytical solutions to the problem. Special cases of the obtained solutions are investigated. It is noticed that some well-known results from the published literature are achieved from these special cases. Finally, different physical parameters’ responses are investigated graphically through Mathcad software.
Highlights
The present research article is directed to study the heat and mass transference analysis of an incompressible Newtonian viscous fluid
The exact analytical solution for the dimensionless equations like temperature velocity and concentration equation is gained by applying the Laplace transformation method, for graphical representation Mathcad software, with the help of different physical parameters the exact analytical solution represented graphically
Considering the governing model equations in the dimensionless form with conditions subjected to the problem of free convection fluid flow of viscous fluid and with the property of incompressibility which passes through a perpendicular infinite plate and exponentially heated with arbitrary shear stresses applies to the fluid
Summary
Considering the governing model equations in the dimensionless form with (initial-boundary) conditions subjected to the problem of free convection fluid flow of viscous fluid and with the property of incompressibility which passes through a perpendicular infinite plate and exponentially heated with arbitrary shear stresses applies to the fluid. As time begin to start at t+ the temperature and mass can be changed with the equationsT = Tw(1 − ae−bt ) + T∞ and Cw at respectively. For such a flow, the constraint of incompressibility is identically satisfied. With non-dimensional (initial-boundary) conditions u∗(y, t) = 0, T∗(y, t) = 0, C∗(y, t) = 0, t = 0, y ≥ 0,.
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