Abstract
In this paper, the concept of microstructural slip is introduced in the flow of micropolar fluids pertinent to model various physical situations. The flow is modeled by a set of PDEs which are transformed to a nonlinear system of ODEs by employing boundary layer transformations. The system of governing equations is implemented using MATLAB bvp4c function along with the initial-boundary conditions. The code is validated by comparing the computed results in the limiting case with the available literature. Influence of microstructural slip on the skin friction coefficient and Nusselt number along with hydrodynamic and thermal boundary layer profiles is studied and discussed. It is found that, in the presence of microstructural slip, the microrotational velocity boundary layer thickness decreases up to a maximum of 37.5% in its value, in comparison to the case where there is no microstructural slip effect. The results predict that, in the presence of first-order translational slip, the microrotations have shown counterrotational phenomena in comparison to the case where there is no translational slip effect. Moreover, second-order translational slip results in declining the microrotational velocity and associated layer thickness.
Highlights
It is worth mentioning that the present slip model contains a true description of slip velocity at the wall in the content of micropolar flow
Translational slip effects have been studied in the literature in a number of physical situations pertinent to different modeling aspects
Micropolar fluids [4] are a class of polar fluids [5] with microstructure [6]. ese fluids are pertinent to model various physical situations [7] and are important to study for many industrial applications [8], for instance, paper and fiberglass production, extrusion of plastic sheets in the aerodynamical study, polymer processes, and extraction of oil
Summary
It is worth mentioning that the present slip model contains a true description of slip velocity at the wall in the content of micropolar flow. A detailed review, on the theory and applications of micropolar fluids, was given by Crane [9] He worked initially on steady, boundary layer flow of an incompressible viscous fluid over a linearly stretching sheet. Complexity flows show a most important task, for instance, hard disk drive, micropumps, nozzles, and microvalves He and Cai [11] observed the combined impact of temperature jump and velocity slip on a boundary layer flow towards a flat plate. Mukhopadhyay [19] discussed the velocity slip and thermal slip over MHD boundary layer flow and heat transfer towards a porous exponential stretching sheet in presence of a magnetic field. Abdelsalam and Sohail [25] described theoretically the heat and mass transfer phenomena of a three-dimensional viscous fluid flow over a nonlinear stretched surface.
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