Group theoretical analysis for unsteady magnetohydrodynamics flow and radiative heat transfer of power-law nanofluid subject to Navier’s slip conditions
The present work covers the flow and heat transfer model for the Power-law nanofluid in the presence of a porous medium over a penetrable plate. The flow is caused by the impulsive movement of the plate embedded in Darcy’s porous medium. The flow and heat transfer models are examined with the effect...
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| Published in | PloS one Vol. 16; no. 10; p. e0258107 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
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08.10.2021
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| Abstract | The present work covers the flow and heat transfer model for the Power-law nanofluid in the presence of a porous medium over a penetrable plate. The flow is caused by the impulsive movement of the plate embedded in Darcy’s porous medium. The flow and heat transfer models are examined with the effect of linear thermal radiation in the flow regime. The Rosseland approximation is utilized for the optically thick nanofluid. The governing partial differential equations are solved using Lie symmetry analysis to find the reductions and invariants for the closed-form solutions. These invariants are then utilized to obtain the exact solutions for the shear-thinning, Newtonian, and shear-thickening nanofluids. In the end, all solutions are plotted for the
Cu
-water nanofluid to observe the effect of different emerging flow and heat transfer parameters. |
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| AbstractList | The present work covers the flow and heat transfer model for the Power-law nanofluid in the presence of a porous medium over a penetrable plate. The flow is caused by the impulsive movement of the plate embedded in Darcy's porous medium. The flow and heat transfer models are examined with the effect of linear thermal radiation in the flow regime. The Rosseland approximation is utilized for the optically thick nanofluid. The governing partial differential equations are solved using Lie symmetry analysis to find the reductions and invariants for the closed-form solutions. These invariants are then utilized to obtain the exact solutions for the shear-thinning, Newtonian, and shear-thickening nanofluids. In the end, all solutions are plotted for the Cu-water nanofluid to observe the effect of different emerging flow and heat transfer parameters.The present work covers the flow and heat transfer model for the Power-law nanofluid in the presence of a porous medium over a penetrable plate. The flow is caused by the impulsive movement of the plate embedded in Darcy's porous medium. The flow and heat transfer models are examined with the effect of linear thermal radiation in the flow regime. The Rosseland approximation is utilized for the optically thick nanofluid. The governing partial differential equations are solved using Lie symmetry analysis to find the reductions and invariants for the closed-form solutions. These invariants are then utilized to obtain the exact solutions for the shear-thinning, Newtonian, and shear-thickening nanofluids. In the end, all solutions are plotted for the Cu-water nanofluid to observe the effect of different emerging flow and heat transfer parameters. The present work covers the flow and heat transfer model for the Power-law nanofluid in the presence of a porous medium over a penetrable plate. The flow is caused by the impulsive movement of the plate embedded in Darcy’s porous medium. The flow and heat transfer models are examined with the effect of linear thermal radiation in the flow regime. The Rosseland approximation is utilized for the optically thick nanofluid. The governing partial differential equations are solved using Lie symmetry analysis to find the reductions and invariants for the closed-form solutions. These invariants are then utilized to obtain the exact solutions for the shear-thinning, Newtonian, and shear-thickening nanofluids. In the end, all solutions are plotted for the Cu -water nanofluid to observe the effect of different emerging flow and heat transfer parameters. The present work covers the flow and heat transfer model for the Power-law nanofluid in the presence of a porous medium over a penetrable plate. The flow is caused by the impulsive movement of the plate embedded in Darcy's porous medium. The flow and heat transfer models are examined with the effect of linear thermal radiation in the flow regime. The Rosseland approximation is utilized for the optically thick nanofluid. The governing partial differential equations are solved using Lie symmetry analysis to find the reductions and invariants for the closed-form solutions. These invariants are then utilized to obtain the exact solutions for the shear-thinning, Newtonian, and shear-thickening nanofluids. In the end, all solutions are plotted for the Cu-water nanofluid to observe the effect of different emerging flow and heat transfer parameters. |
| Audience | Academic |
| Author | Aziz, Asim Javaid, Saba Aziz, Taha |
| AuthorAffiliation | 2 College of Electrical and Mechanical Engineering, National University of Sciences and Technology, Rawalpindi, Pakistan 4 Interdisciplinary Research Center for Hydrogen and Energy Storage, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia Tongji University, CHINA 3 Department of Mathematics, Dammam Community College, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia 1 Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan |
| AuthorAffiliation_xml | – name: 3 Department of Mathematics, Dammam Community College, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia – name: Tongji University, CHINA – name: 1 Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan – name: 4 Interdisciplinary Research Center for Hydrogen and Energy Storage, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia – name: 2 College of Electrical and Mechanical Engineering, National University of Sciences and Technology, Rawalpindi, Pakistan |
| Author_xml | – sequence: 1 givenname: Saba surname: Javaid fullname: Javaid, Saba – sequence: 2 givenname: Asim orcidid: 0000-0002-2798-5191 surname: Aziz fullname: Aziz, Asim – sequence: 3 givenname: Taha surname: Aziz fullname: Aziz, Taha |
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| CitedBy_id | crossref_primary_10_1016_j_csite_2023_103664 crossref_primary_10_1016_j_csite_2024_104427 crossref_primary_10_1016_j_csite_2022_102358 |
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| Snippet | The present work covers the flow and heat transfer model for the Power-law nanofluid in the presence of a porous medium over a penetrable plate. The flow is... |
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| SubjectTerms | Analysis Auroral kilometric radiation Differential equations Engineering and Technology Exact solutions Finite volume method Flow Flow velocity Fluid dynamics Heat transfer Invariants Magnetohydrodynamics Manufacturing Nanofluids Nanoparticles Non-Newtonian fluids Partial differential equations Physical Sciences Porous media Power law Radiation Radiative heat transfer Shear thickening (liquids) Shear thinning (liquids) Symmetry Theoretical analysis Thermal radiation Thickening Viscosity |
| Title | Group theoretical analysis for unsteady magnetohydrodynamics flow and radiative heat transfer of power-law nanofluid subject to Navier’s slip conditions |
| URI | https://www.proquest.com/docview/2580326694 https://www.proquest.com/docview/2580696729 https://pubmed.ncbi.nlm.nih.gov/PMC8500437 https://doaj.org/article/14e19fd0f2cd4b2e828c4d52b8b37f26 http://dx.doi.org/10.1371/journal.pone.0258107 |
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