Abstract
The present research paper deals with the study of heat and mass transfer characteristics of steady viscous incompressible two-dimensional Maxwell fluid flow past a stretching sheet under the influence of magnetic field and the Soret effect. A well-known non-Newtonian Maxwell fluid flow model is used to differentiate it from the Newtonian fluids. The present physical problem gives the set of highly nonlinear-coupled partial differential equations that are not amenable to any of the direct techniques. The resultant nonlinear system of partial differential equations is reduced to a set of nonlinear ordinary differential equations by using suitable similarity transformations. Due to the inadequacy of analytical techniques, a bvp4c MATLAB function is used to solve the developed nonlinear system of equations. The simulated results are shown for various values of physical parameters in the flow regime. Additionally, the numerical values of skin-friction coefficient, heat, and mass transfer rates are calculated and tabularized. From the present investigation, it is observed that the normal and axial velocity profiles decreased for the enhancing values of the magnetic parameter. Increasing the Prandtl and Schmidt numbers reduces the temperature and concentration profiles in the flow region, respectively. Increasing the Maxwell fluid parameter decreases the velocity profile and magnifies the temperature field. Additionally, increasing the Soret number increases the concentration profile in the flow regime. Comparison of current similarity solutions with available results indicates the accuracy and guarantee of the present numerical results and the used method.
Highlights
Due to the exhaustive literature review, the analysis of boundary layer flow problems concerning real fluids past stretching sheets/surfaces received considerable attention in various fields of science and engineering including polymer sheet extrusion, metallurgy, drawing plastics, and chemical engineering
In addition to the above-mentioned applications and advantages, the investigation of thermal and mass transfer produced by stretching sheets/surfaces are of great significance in various industrial processes including hot rolling extrusion, crystal growing, glass blowing, rubber and plastic sheets, and spinning of fibers
The heat and mass transport characteristics of steady Maxwell fluid flow over a stretching sheet has been studied under the influence of magnetic field through bvp4c MATLAB solver
Summary
Due to the exhaustive literature review, the analysis of boundary layer flow problems concerning real fluids past stretching sheets/surfaces received considerable attention in various fields of science and engineering including polymer sheet extrusion, metallurgy, drawing plastics, and chemical engineering. In the manufacturing of these physical materials, the melting issues from the slit and stretches to attain the desired shape. In such physical problems, the magnetohydrodynamic (MHD) flows are significant and have greater technical applications in metallurgical and petroleum production industries. The characteristics of the end product significantly depend on the cooling rate, and these desired characteristics of the end product are controlled by utilizing electrically conducting fluids and the application of Lorentz forces. In addition to the above-mentioned applications and advantages, the investigation of thermal and mass transfer produced by stretching sheets/surfaces are of great significance in various industrial processes including hot rolling extrusion, crystal growing, glass blowing, rubber and plastic sheets, and spinning of fibers. The detailed applications can be found in the literature [1]
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