Abstract
This paper presents a mathematical model analysis of heat and mass transfer in a two-dimensional flow of electrically conducting, thermally radiative, and chemically reactive Maxwell nanofluid towards a vertical stretching and permeable sheet embedded in a porous medium. Boundary layer approximation and suitable transformations are used to reduce the governing differential equations convenient for computation. Eventually, the transformed nonlinear differential equations along with the corresponding boundary conditions are solved in the framework of optimal homotopy analysis method. The effects of induced magnetic field, buoyancy force, viscous dissipation, heat source, Joule heating, and convective boundary condition are analyzed in detail. The rates of heat, mass, and momentum transfer with respect to the relevant parameters are also examined in terms of the local Nusselt number, Sherwood number, and skin friction coefficients, respectively. Among the many results of the study, it is shown that the induced magnetic field, flow velocity, and temperature profiles are increasing functions of the Maxwell parameter. The results of the present study are also in a close agreement with previously published results under common assumptions.
Highlights
Based on the deformation of fluids in response to the applied shear stress, fluids can be classified into two categories, namely, Newtonian and non-Newtonian
The results obtained in this study are found in excellent agreement with previous study works under some restricted assumptions. e influences of pertinent parameters on velocity, induced magnetic field, temperature, and concentration profiles are examined as summarized below: (i) e flow velocity can be accelerated by increasing rates of stretching, external magnetic field, Maxwell parameter, convective parameter, reciprocal of Prandtl number, radiation, porosity, dissipation, heat source, suction, or constructive chemical reaction
(ii) e induced magnetic field profile can be enhanced by increasing the values of external magnetic field, Maxwell parameter, reciprocal of Prandtl number, radiation, porosity, dissipation parameter, heat source, suction, or constructive chemical reaction
Summary
Based on the deformation of fluids in response to the applied shear stress, fluids can be classified into two categories, namely, Newtonian and non-Newtonian. In order to enhance the heat transfer capabilities of traditional fluids, Choi and Eastman [1] introduced the concept of nanofluids in 1995, and they showed experimentally that embedding of nanometer-sized particles with the common base fluids such as water, oil, and ethylene glycol mixture radically increased the thermal conductivity of the fluid. Due to their wide range of applications, a number of experimental and theoretical investigations have been conducted to examine the flow properties of nanofluids in a variety of flow situations. The heat transfer phenomena of Nanofluid moving over a wedge surface are presented by Ibrahim and Tulu [2]
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