Abstract
This report presents the flow and heat transfer characteristics of MHD micropolar fluid due to the stretching of a surface with second order velocity slip. The influence of nonlinear radiation and irregular heat source/sink are anticipated. Simultaneous solutions are presented for first and second-order velocity slips. The PDEs which govern the flow have been transformed as ODEs by the choice of suitable similarity transformations. The transformed nonlinear ODEs are converted into linear by shooting method then solved numerically by fourth-order Runge-Kutta method. Graphs are drowned to discern the effect of varied nondimensional parameters on the flow fields (velocity, microrotation, and temperature). Along with them the coefficients of Skin friction, couple stress, and local Nussel number are also anticipated and portrayed with the support of the table. The results unveil that the non-uniform heat source/sink and non-linear radiation parameters plays a key role in the heat transfer performance. Also, second-order slip velocity causes strengthen in the distribution of velocity but a reduction in the distribution of temperature is perceived.
Highlights
The researchers and scientists have been focussed on the study of non-Newtonian fluid flow induced by stretched geometry, due to everyday desires of these assets in chemical and manufacturing practice
Micropolar fluid motion induced by a strained surface was described by Chiam[10]
The influence of organic response on the stagnated motion of Newtonian liquid across a cylinder was reported by Najib et al.[12] and presented dual solutions for shrinking and stretching cases
Summary
Let us imagine the two-dimensional flow of an incompressible, electrically accompanying micropolar fluid past a stretching sheet with the influence of secondary velocity slip. Consider the velocities us = px and ue = qx, where p, q are positive constants. Here P, Q are the constants, Kn is the Knudsen number, λ is the molecular free mean path, a is the coefficient of the momentum accommodation (0 ≤ a ≤ 1), Mr is a micro rotation parameter. Kn lies between 10−3 to 0.1, first order slip arises near the fluid-surface interaction. Consider the transformations in order to get the dimensional less expressions of the flow equations: (See refs24,26,41), χ=. Χ is the stream function and η is the similarity variable, f ′(η), g(η)&θ(η) are the dimensionless flow fields and θw is the temperature ratio parameter. From Eq (13), Eq (1) satisfied trivially and the Eqs (2), (3) and (8) becomes α) d3f dη[3]
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