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      Comparative study of heat and mass transfer of generalized MHD Oldroyd-B bio-nano fluid in a permeable medium with ramped conditions

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          Abstract

          This article aims to investigate the heat and mass transfer of MHD Oldroyd-B fluid with ramped conditions. The Oldroyd-B fluid is taken as a base fluid (Blood) with a suspension of gold nano-particles, to make the solution of non-Newtonian bio-magnetic nanofluid. The surface medium is taken porous. The well-known equation of Oldroyd-B nano-fluid of integer order derivative has been generalized to a non-integer order derivative. Three different types of definitions of fractional differential operators, like Caputo, Caputo-Fabrizio, Atangana-Baleanu (will be called later as \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C,CF,AB$$\end{document} ) are used to develop the resulting fractional nano-fluid model. The solution for temperature, concentration, and velocity profiles is obtained via Laplace transform and for inverse two different numerical algorithms like Zakian’s, Stehfest’s are utilized. The solutions are also shown in tabular form. To see the physical meaning of various parameters like thermal Grashof number, Radiation factor, mass Grashof number, Schmidt number, Prandtl number etc. are explained graphically and theoretically. The velocity and temperature of nanofluid decrease with increasing the value of gold nanoparticles, while increase with increasing the value of both thermal Grashof number and mass Grashof number. The Prandtl number shows opposite behavior for both temperature and velocity field. It will decelerate both the profile. Also, a comparative analysis is also presented between ours and the existing findings.

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          Linear Models of Dissipation whose Q is almost Frequency Independent--II

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            Algorithm 368: Numerical inversion of Laplace transforms [D5]

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                Author and article information

                Contributors
                aamirf88@yahoo.com
                Journal
                Sci Rep
                Sci Rep
                Scientific Reports
                Nature Publishing Group UK (London )
                2045-2322
                6 December 2021
                6 December 2021
                2021
                : 11
                Affiliations
                [1 ]GRID grid.410729.9, ISNI 0000 0004 1759 3199, Nanchang Institute of Technology, ; Nanchang, 30044 China
                [2 ]GRID grid.464484.e, ISNI 0000 0001 0077 475X, School of Mathematics and Statistics, , Xuzhou University of Technology, ; Xuzhou, 221018 China
                [3 ]GRID grid.467118.d, ISNI 0000 0004 4660 5283, Department of Pure and Applied Mathematics, , University of Haripur, ; Haripur, KPK, Pakistan
                [4 ]GRID grid.412895.3, ISNI 0000 0004 0419 5255, Department of Physics, Faculty of Science, , Taif University, ; P.O. Box 888, Taif, 21944 Saudi Arabia
                [5 ]GRID grid.418920.6, ISNI 0000 0004 0607 0704, Department of Mathematics, , COMSATS University Islamabad, ; Vehari Campus, Vehari, 61100 Pakistan
                [6 ]GRID grid.418920.6, ISNI 0000 0004 0607 0704, Department of Mathematics, , COMSATS University Islamabad, ; Wah Campus, Islamabad, 47040 Pakistan
                [7 ]GRID grid.412895.3, ISNI 0000 0004 0419 5255, Department of Physics, College of Science, , Taif University, ; P. O. Pox 11099, Taif, 21944 Saudi Arabia
                [8 ]GRID grid.444992.6, ISNI 0000 0004 0609 495X, Department of Basic Sciences, , University of Engineering Technology, ; Peshawar, Pakistan
                [9 ]Section of Mathematics, International Telematic University Uninettanu, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy
                [10 ]GRID grid.494514.9, ISNI 0000 0004 5935 783X, Department of Mathematics, , Abbottabad University of Science and Technology, ; Abbottabad, Pakistan
                Article
                2326
                10.1038/s41598-021-02326-8
                8648785
                d415132b-8df3-43b6-b926-1318c5a86a8b
                © The Author(s) 2021

                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/.

                Funding
                Funded by: FundRef http://dx.doi.org/10.13039/501100006261, Taif University;
                Award ID: TURSP-2020/319
                Award ID: TURSP-2020/319
                Categories
                Article
                Custom metadata
                © The Author(s) 2021

                Uncategorized
                engineering,mathematics and computing,nanoscience and technology,physics
                Uncategorized
                engineering, mathematics and computing, nanoscience and technology, physics

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