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Dual solution framework for mixed convection flow of Maxwell nanofluid instigated by exponentially shrinking surface with thermal radiation. Sci Rep 2021; 11:15944. [PMID: 34354197 PMCID: PMC8342461 DOI: 10.1038/s41598-021-95548-9] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/02/2021] [Accepted: 06/22/2021] [Indexed: 01/09/2023] Open
Abstract
This paper presents the analysis of transfer of heat and mass characteristics in boundary layer flow of incompressible magnetohydrodynamic Maxwell nanofluid with thermal radiation effects confined by exponentially shrinking geometry. The effects of Brownian motion and thermophoresis are incorporated using Buongiorno model. The partial differential equations of the governing model are converted in non-dimensional track which are numerically inspected with proper appliances of Runge-Kutta fourth order scheme.The significant effects of heat and mass fluxes on the temperature and nanoparticles volume fractions are investigated. By the increases in Lewis number between [Formula: see text] to [Formula: see text], the decrease in nanoparticle volume fraction and temperature is noted. With the change in the Prandtl constant that varies between [Formula: see text] to [Formula: see text], the nanoparticles volume fraction and temperature are dwindled. Nanoparticles volume fraction and temperature distribution increase is noted with applications of radiation constant. With consequent variation of thermophoresis parameter between [Formula: see text] to [Formula: see text], nanoparticles volume fraction and temperature distribution increases. It is also noted that the increase in thermophoresis parameter and Brownian parameter from [Formula: see text] to [Formula: see text], nanoparticles volume fraction decreases while temperature distribution increases.
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Study of Heat and Mass Transfer in MHD Flow of Micropolar Fluid over a Curved Stretching Sheet. Sci Rep 2020; 10:4581. [PMID: 32165668 PMCID: PMC7067796 DOI: 10.1038/s41598-020-61439-8] [Citation(s) in RCA: 31] [Impact Index Per Article: 7.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/19/2019] [Accepted: 02/19/2020] [Indexed: 11/08/2022] Open
Abstract
A comprehensive investigation of mass and heat transfer in magnetohydrodynamics (MHD) flow of an electrically conducting non-Newtonian micropolar fluid because of curved stretching sheet is presented. Flow is originated by stretching of curved sheet by means of linear velocity. Concentration and energy equations are incorporated to study repercussion of mass and heat transfer. To define basic equations of the model, curvilinear coordinates are used. The transformed BL (boundary layer) equations for the momentum, concentration, angular momentum and temperature with appropriate boundary conditions are numerically solved by SOR (successive over relaxation) algorithms combined with the quasi-linearization technique. Flow features such as temperature fields, micro rotation, velocity and concentration are appraised for manipulation of pertinent parameters. The radius of curvature enhances the temperature and concentration whereas it declines micro-rotation as well as velocities of the fluid. It is significant to notice that magnetic field interaction is caused counterproductive in increasing concentration distribution and fluid temperature while diminishing micro-rotation and velocities at all domain flow points. As schmidt number increases concentration of fluid reduces.
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Farooq U, Lu D, Munir S, Ramzan M, Suleman M, Hussain S. MHD flow of Maxwell fluid with nanomaterials due to an exponentially stretching surface. Sci Rep 2019; 9:7312. [PMID: 31086204 PMCID: PMC6513985 DOI: 10.1038/s41598-019-43549-0] [Citation(s) in RCA: 26] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/11/2018] [Accepted: 04/23/2019] [Indexed: 01/09/2023] Open
Abstract
In many industrial products stretching surfaces and magnetohydrodynamics are being used. The purpose of this article is to analyze magnetohydrodynamics (MHD) non-Newtonian Maxwell fluid with nanomaterials in a surface which is stretching exponentially. Thermophoretic and Brownian motion effects are incorporated using Buongiorno model. The given partial differential system is converted into nonlinear ordinary differential system by employing adequate self-similarity transformations. Locally series solutions are computed using BVPh 2.0 for wide range of governing parameters. It is observed that the flow is expedite for higher Deborah and Hartman numbers. The impact of thermophoresis parameter on the temperature profile is minimal. Mathematically, this study describes the reliability of BVPh 2.0 and physically we may conclude the study of stretching surfaces for non-Newtonian Maxwell fluid in the presence of nanoparticles can be used to obtain desired qualities.
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Affiliation(s)
- Umer Farooq
- Department of Mathematics, Faculty of Science, Jiangsu University, 212013, Zhenjiang, China. .,Department of Mathematics, COMSATS University Islamabad, Park road, Tarlai Kalan, 44000, Islamabad, Pakistan.
| | - Dianchen Lu
- Department of Mathematics, Faculty of Science, Jiangsu University, 212013, Zhenjiang, China.
| | - Shahzad Munir
- Department of Mathematics, COMSATS University Islamabad, Park road, Tarlai Kalan, 44000, Islamabad, Pakistan
| | - Muhammad Ramzan
- Department of Mechanical Engineering, Sejong University, Seoul, 143-747, Korea.,Department of Computer Science, Bahria University, Islamabad Campus, Islamabad, 44000, Pakistan
| | - Muhammad Suleman
- Department of Mathematics, Faculty of Science, Jiangsu University, 212013, Zhenjiang, China.,Department of Mathematics, COMSATS University Islamabad, Park road, Tarlai Kalan, 44000, Islamabad, Pakistan
| | - Shahid Hussain
- School of Materials Science and Engineering, Jiangsu University, Zhenjiang, 212013, China
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Ramzan M, Bilal M, Chung JD. Radiative Flow of Powell-Eyring Magneto-Nanofluid over a Stretching Cylinder with Chemical Reaction and Double Stratification near a Stagnation Point. PLoS One 2017; 12:e0170790. [PMID: 28129356 PMCID: PMC5271375 DOI: 10.1371/journal.pone.0170790] [Citation(s) in RCA: 45] [Impact Index Per Article: 6.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/23/2016] [Accepted: 12/01/2016] [Indexed: 11/18/2022] Open
Abstract
This exploration addresses MHD stagnation point Powell Eyring nanofluid flow with double stratification. The effects of thermal radiation and chemical reaction are added in temperature and nanoparticle concentration fields respectively. Furthermore, appropriate transformations are betrothed to obtain nonlinear differential equations from the system of partial differential equations and an analytical solution of system of coupled differential equations is obtained by means of the renowned Homotopy Analysis method. Through graphical illustrations, momentum, energy and concentration distributions are conversed for different prominent parameters. Comparison in limiting case is also part of present study to validate the obtained results. It is witnessed that nanoparticle concentration is diminishing function of chemical reaction parameter. Moreover, mounting values of thermal and solutal stratification lowers the temperature and concentration fields respectively.
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Affiliation(s)
- Muhammad Ramzan
- Department of Computer Science, Bahria University, Islamabad Campus, Islamabad, 44000, Pakistan
- * E-mail:
| | - Muhammad Bilal
- Department of Mathematics, Faculty of Computing, Capital University of Science and Technology, Islamabad, Pakistan
| | - Jae Dong Chung
- Department of Mechanical Engineering, Sejong University, Seoul 143-747, Korea
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