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      Two-phase simulation of entropy optimized mixed convection flow of two different shear-thinning nanomaterials in thermal and mass diffusion systems with Lorentz forces

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          Abstract

          This research compares the momentum, thermal energy, mass diffusion and entropy generation of two shear thinning nanofluids in an angled micro-channel with mixed convection, nonlinear thermal radiation, temperature jump boundary condition and variable thermal conductivity effects. The \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$RKF 45$$\end{document} approach was used to solve the Buongiorno nonlinear governing model. The effect of different parameters on the flow, energy, concentration, and entropy generating fields have been graphically illustrated and explained. The hyperbolic tangent nanoliquid has a better velocity than the Williamson nanofluid. The Williamson nanofluid has higher thermal energy and concentration than the hyperbolic tangent nanoliquid in the microchannel. The Grashof number, both thermal and solutal, increases the fluid flow rate throughout the flow system. The energy of the nanoliquid is reduced by the temperature jump condition, while the energy field of the nanoliquid is enhanced by the improving thermal conductivity value. The nanoliquids concentration rises as the Schmitt number rises. The irreversibility rate of the channel system is maximized by the variable thermal conductivity parameter.

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          Most cited references51

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          Entropy Generation and Consequences of Binary Chemical Reaction on MHD Darcy–Forchheimer Williamson Nanofluid Flow Over Non-Linearly Stretching Surface

          The current article aims to present a numerical analysis of MHD Williamson nanofluid flow maintained to flow through porous medium bounded by a non-linearly stretching flat surface. The second law of thermodynamics was applied to analyze the fluid flow, heat and mass transport as well as the aspects of entropy generation using Buongiorno model. Thermophoresis and Brownian diffusion is considered which appears due to the concentration and random motion of nanoparticles in base fluid, respectively. Uniform magnetic effect is induced but the assumption of tiny magnetic Reynolds number results in zero magnetic induction. The governing equations (PDEs) are transformed into ordinary differential equations (ODEs) using appropriately adjusted transformations. The numerical method is used for solving the so-formulated highly nonlinear problem. The graphical presentation of results highlights that the heat flux receives enhancement for augmented Brownian diffusion. The Bejan number is found to be increasing with a larger Weissenberg number. The tabulated results for skin-friction, Nusselt number and Sherwood number are given. A decent agreement is noted in the results when compared with previously published literature on Williamson nanofluids.
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            Marangoni convective flow of hybrid nanofluid (\(\mathit{MnZ}nF{e}_{2}{O}_{4}-NiZnF{e}_{2}{O}_{4}-{H}_{2}O\)) with Darcy Forchheimer medium

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              Comparative analysis of (Zinc ferrite, Nickel Zinc ferrite) hybrid nanofluids slip flow with entropy generation

              This investigation is about hybrid nanofluid flowing over a sheet. We considered two-dimensional Darcy–Forchheimer flow of different hybrid nanofluids with the influence of uniform heat source sink and nonlinear thermal radiation. Different nanoparticles can be used to improve the thermal conductivity of a liquid. A study comparing the various hybrid nanofluids to nanofluid is considered. Here, we have selected manganese Zinc ferrite and Nickel Zinc ferrite as nanoparticles with kerosene oil and engine oil as carrier liquids. Suitable similarity transformations are used to construct the required ordinary differential equations. The influence of several non-dimensional parameters on velocity and thermal gradients is analyzed through graphs. Also, entropy generation is computed and analyzed through graph for different involved parameters. Here, we observed that [Formula: see text]–[Formula: see text]–[Formula: see text]–[Formula: see text] had lower velocity when compared to other two solutions. The entropy generation and Bejan number are high in [Formula: see text]–[Formula: see text]–[Formula: see text] when compared to [Formula: see text]–[Formula: see text]–[Formula: see text]–[Formula: see text] and [Formula: see text]–[Formula: see text]–[Formula: see text] and increase in heat generation parameter increases the rate of heat transfer.
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                Author and article information

                Contributors
                w.ojok@muni.ac.ug
                Journal
                Sci Rep
                Sci Rep
                Scientific Reports
                Nature Publishing Group UK (London )
                2045-2322
                4 January 2024
                4 January 2024
                2024
                : 14
                : 544
                Affiliations
                [1 ]Department of Physics, Government First Grade College, Santhebennur, 577552 India
                [2 ]Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM, ( https://ror.org/00bw8d226) Bangi, 43600 Selangor Malaysia
                [3 ]Department of Computer Science and Mathematics, Lebanese American University, ( https://ror.org/00hqkan37) Byblos, 1401 Lebanon
                [4 ]Department of Mathematics and Social Sciences, Sukkur IBA University, ( https://ror.org/03e5jvk98) Sukkur, 65200 Sindh Pakistan
                [5 ]Department of Mathematics, PES Institute of Technology & Management, ( https://ror.org/05m169e78) Shivamogga, Karnataka India
                [6 ]Department of Mathematics, Sahyadri Science College, Shivamogga, Karnataka India
                [7 ]Department of Civil Engineering, College of Engineering, University of Hail, ( https://ror.org/013w98a82) Hail, Saudi Arabia
                [8 ]LR14ES03 Laboratoire d’Inge´nierie Ge´otechnique, Ecole Nationale d’Inge´nieurs de Tunis, Universite´ de Tunis El Manar, ( https://ror.org/029cgt552) 1002 Tunis, Tunisia
                [9 ]Department of Mathematics and Statistics, University College for Women Koti, ( https://ror.org/02ny12416) Hyderabad, India
                [10 ]Department of Mathematical Sciences, Federal Urdu University of Arts, Science & Technology, ( https://ror.org/02b52th27) Gulshan-E-Iqbal, Karachi, 75300 Pakistan
                [11 ]Department of Chemistry, Faculty of Science, Muni University, ( https://ror.org/04wr6mz63) P.O Box 725, Arua, Uganda
                Article
                50725
                10.1038/s41598-023-50725-w
                10766953
                38177196
                d4328115-ff8f-478f-aba2-02eae99f2312
                © The Author(s) 2024

                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
                : 28 October 2023
                : 23 December 2023
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                © Springer Nature Limited 2024

                Uncategorized
                energy science and technology,engineering,mathematics and computing,nanoscience and technology

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