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      Impact of heat generation/absorption of magnetohydrodynamics Oldroyd-B fluid impinging on an inclined stretching sheet with radiation

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      1 , 2 , , 3
      Scientific Reports
      Nature Publishing Group UK
      Engineering, Mechanical engineering

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          Abstract

          In this paper, we have investigated thermally stratified MHD flow of an Oldroyd-B fluid over an inclined stretching surface in the presence of heat generation/absorption. Similarity solutions for the transformed governing equations are obtained. The reduced equations are solved numerically using the Runge–Kutta Fehlberg method with shooting technique. The influences of various involved parameters on velocity profiles, temperature profiles, local skin friction, and local Nusselt number are discussed. Numerical values of local skin friction and local Nusselt number are computed. The significant outcomes of the study are that the velocity decreases when the radiation parameter \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$R_{d}$$\end{document} is increased while the temperature profile is increased for higher values of radiation parameter \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$R_{d}$$\end{document} in case of opposing flow, moreover, growth in Deborah number \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\beta_{2}$$\end{document} enhance the velocity and momentum boundary layer. The heat transfer rate is decrease due to magnetic strength but increase with the increased values of Prandtl and Deborah numbers. The results of this model are closely matched with the outputs available in the literature.

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          Most cited references32

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          On the Formulation of Rheological Equations of State

          J. Oldroyd (1950)
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            Heat transfer characteristics of a continuous stretching surface

            M E Ali (1994)
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              Stokes’ first problem for an Oldroyd-B fluid in a porous half space

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                Author and article information

                Contributors
                v.bognar.gabriella@uni-miskolc.hu
                Journal
                Sci Rep
                Sci Rep
                Scientific Reports
                Nature Publishing Group UK (London )
                2045-2322
                19 October 2020
                19 October 2020
                2020
                : 10
                : 17688
                Affiliations
                [1 ]GRID grid.421324.2, ISNI 0000 0001 0487 5961, Department of Information Technology, , Fanshawe College London, ; London, ON Canada
                [2 ]GRID grid.10334.35, ISNI 0000 0001 2254 2845, University of Miskolc, ; Miskolc-Egyetemváros, 3515 Hungary
                [3 ]GRID grid.260478.f, School of Mathematics and Statistics, , Nanjing University of Information Science and Technology, ; Nanjing, 210044 China
                Article
                74787
                10.1038/s41598-020-74787-2
                7572406
                33077753
                6d787bdd-25ea-473f-a828-9e0716ff7738
                © The Author(s) 2020

                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 licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence 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 licence, visit http://creativecommons.org/licenses/by/4.0/.

                History
                : 29 March 2020
                : 7 October 2020
                Funding
                Funded by: National Research, Development and Innovation Fund of Hungary K129257
                Categories
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                © The Author(s) 2020

                Uncategorized
                engineering,mechanical engineering
                Uncategorized
                engineering, mechanical engineering

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