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      Simultaneous solutions for first order and second order slips on micropolar fluid flow across a convective surface in the presence of Lorentz force and variable heat source/sink

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          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.

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          Most cited references 39

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          Flow past a stretching plate

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            Simple microfluids

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              Non-uniform heat source/sink and Soret effects on MHD non-Darcian convective flow past a stretching sheet in a micropolar fluid with radiation

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                Author and article information

                Contributors
                vsuguna@svuniversity.edu.in
                nsreddy.dr@gmail.com
                tahir.mustafa@qu.edu.qa
                Journal
                Sci Rep
                Sci Rep
                Scientific Reports
                Nature Publishing Group UK (London )
                2045-2322
                11 October 2019
                11 October 2019
                2019
                : 9
                Affiliations
                [1 ]ISNI 0000 0001 2154 622X, GRID grid.412313.6, Department of Mathematics, , Sri Venkateswara University, ; Tirupati, 517 502 India
                [2 ]GRID grid.448766.f, Department of Mathematics, , Central University of Karnataka, ; Kalaburagi, 585 367 India
                [3 ]ISNI 0000 0004 0634 1084, GRID grid.412603.2, Department of Mathematics, , Statistics and Physics, Qatar University, ; Doha, 2713 Qatar
                Article
                51242
                10.1038/s41598-019-51242-5
                6788988
                31604996
                2ad222dc-543c-47d1-841e-f0459cc5869f
                © The Author(s) 2019

                Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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                applied mathematics, fluid dynamics

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