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MHD Williamson micropolar fluid flow pasting a non-linearly stretching sheet under the presence of non linear heat generation/ absorption
Affiliation:1. Department of Mathemaics, Central University of South Bihar, Gaya, Bihar, 824236, India;2. Department of Mathematics, Anurag University, Hydrabad, Talangana, 500088, India;3. Department of Mathematics, JNTUH, University College of Engineering, Hydrabad, Talangana, 500085, India
Abstract:This work aims to study the MHD boundary layer flow of Williamson micropolar fluid pasting a non-linearly stretching sheet under the existence of nonlinear heat absorption/generation term, which arises in convection due to high temperature and is the novelty of the present work. The governing equations corresponding to the above physical configuration have been considered in view of the modified Darcy Law with appropriate boundary conditions. Thereafter making use of suitable similarity transformation by introducing stream function, the revised governing equations in the form of ODE with boundary conditions have been obtained. This boundary value problem have been solved numerically by using the shooting technique. The effect of various parameters on flow variables like velocity, temperature, and microrotation has been depicted through graphs. Also, the present analysis's results are compared with those obtained earlier to ensure the numerical validation of the present analysis. In particular, It is observed that the Hartmann number and Williamson parameter have the effect of increasing skin friction.
Keywords:Microrotaion  Heat absorption  Williamson fluid
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