Abstract
The article’s objective is to study the magnetohydrodynamic fluctuating free convection flow of incompressible electrically conducting viscoelastic fluid in a porous medium in the presence of a pressure gradient. The flow is between two parallel plates; the lower plate is at rest, while the upper plate moves with a free stream velocityUt. A uniform magnetic field of strength B0 is applied transversely to the fluid motion. The dimensional governing equations and physical initial and boundary conditions are nondimensionalized by inserting appropriate dimensionless variables. Furthermore, Lighthill’s method is used to obtain exact analytical solutions for the velocity, temperature, and concentration distributions. Finally, the influences of inserted parameters are studied through plots and discussed physically. The numerical results are calculated and presented in tabular form for skin friction. It is worth mentioning that when the viscoelastic parameterα1tends to zero, the obtained general solution is reduced to Newtonian fluid, which shows the validity and correctness of our obtained exact solutions.
Highlights
Because of particular applications of nonNewtonian fluid, it has become an increasingly applied topic of central research. ese fluids fall into three classes known as integral, differential, and rate type. e differential sort of non-Newtonian fluids called viscoelastic type fluids has distinct characteristics compared to the viscous materials due to their higher-order governing equations compared to Navier-Stokes equations
Singh [18] has derived an exact solution for MHD flow in a channel taking porous medium. at work is comprehensively discussed by Mehmood and Ali [19] considering slip condition. e perturbation technique has been used by Kumar et al [20] to solve the similar problem of Mehmood and Ali [19] who considered the influence of slip boundary conditions
Unsteady MHD flow of second-grade fluid over an oscillating vertical plate in a porous medium with heat and mass transfer has been investigated by Farhad et al [36]. e homotopy analysis method (HAM) has been used by Hayat et al [37] for viscoelastic fluid flow to the derived analytical solution for velocity and temperature profile
Summary
E nonlinear MHD flow with heat and mass transfer of an incompressible, viscoelastic fluid on a stretching surface and stratification effects have been investigated by Kandasamy et al [26]. Erdogan and Irmak [33] discussed an analytical solution for the governing equation of velocity of a second-grade fluid in three-dimensional flows. Unsteady MHD flow of second-grade fluid over an oscillating vertical plate in a porous medium with heat and mass transfer has been investigated by Farhad et al [36].
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