Abstract
In this study, an attempt has been made to investigate the mass and heat transfer effects in a BLF through a porous medium of an electrically conducting viscoelastic fluid subject to a transverse magnetic field in the existence of an external electric field, heat source/sink, and chemical reaction. It has been considered the effects of the electric field, viscous and Joule dissipations, radiation, and internal heat generation/absorption. Closed-form solutions for the boundary layer equations of viscoelastic, second-grade, and Walters’ B ′ fluid models are considered. The method of the solution includes similarity transformation. The converted equations of thermal and mass transport are calculated using the optimal homotopy asymptotic method (OHAM). The solutions of the temperature field for both prescribed surface temperature (PST) and prescribed surface heat flux (PHF) are found. It is vital to remark that the interaction of the magnetic field is found to be counterproductive in enhancing velocity and concentration distribution, whereas the presence of chemical reaction, as well as a porous matrix with moderate values of the magnetic parameter, reduces the temperature and concentration fields at all points of the flow domain.
Highlights
The significance of fluid flow over a stretching surface can be professed for its ever-increasing inexorable applications in industries and in present-day technology
The aim of this paper is to investigate the effect of electric field and thermal radiation on MHD viscoelastic fluid flow over a stretching surface through a porous medium with a heat source/sink
In the course of the discussion, the following aspects are highlighted: (i) Effect of electric field and permeability of the medium on flow characteristics (ii) Effect of diffusion species as well as the first-order chemical reaction (iii) Relative response of two viscoelastic models to temperature and velocity distribution in the existence of uniform porous matrix (iv) The dimensionless ODEs (9), (27), (36), and (56) with the corresponding boundary conditions are solved by using the approximate analytic technique optimal homotopy asymptotic method (OHAM)
Summary
The significance of fluid flow over a stretching surface can be professed for its ever-increasing inexorable applications in industries and in present-day technology. The applications of the stretching sheet problem are such as polymer sheet extrusion from a dye, drawing, thinning and annealing of copper wires, glass fiber and paper production, and the cooling of a metallic plate in a cooling bath. The production of these sheets needs that the melt issues from a slit and is stretched to get the anticipated thickness. Crane [2] was the first to attain a stylish analytical solution to the BL equations for the problem of steady 2D flow through a stretching surface in an inactive incompressible fluid. The work of Sakadis and Crane was extended and studied by several authors (Madaki et al [3], Zheng et al [4], Dessie and Kishan [5], and Pal [6])
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