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Dual stratification and cross-diffusion effects on the non-orthogonal stagnation point flow of a nanofluid over an oscillating surface
In the fields of hydrology, environmental engineering and thermal energy storage systems, the large temperature and concentration gradients lead to simultaneous diffusion and stratification phenomena. The non-orthogonal stagnation flows are significant due to their applications in many hydrodynamica...
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Published in: | European physical journal plus 2023-09, Vol.138 (9), p.831, Article 831 |
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description | In the fields of hydrology, environmental engineering and thermal energy storage systems, the large temperature and concentration gradients lead to simultaneous diffusion and stratification phenomena. The non-orthogonal stagnation flows are significant due to their applications in many hydrodynamical processes for emergency shutdown cooling and energy harvesting. Therefore, the present study introduces the novel concept of thermal and solutal stratifications in a nanofluid’s non-orthogonal stagnation point flow. In the concentration and energy balance equations, the diffusive heats resulting from simultaneous mass and heat transport are also taken into account. The surface of stagnation is assumed to be oscillating and stretching linearly. The mathematical model developed under these assumptions is made dimension-free using appropriate variables. The numerical results of the problem are computed using the Lobatto-IIIa formula-based finite difference bvp4c scheme. The numerical results are verified by comparing them to the findings of an earlier study, and the results are discovered to be in good agreement. The graphical illustrations depict significant alterations in the temperature and concentration plots with stratification parameters. The findings showed that the mass transfer is greatly increased by the solutal stratification’s (
ϵ
2
) supremacy over the thermal stratification (
ϵ
1
). In conjunction with the obliqueness parameter (
γ
), the skin friction coefficient is lowered. |
doi_str_mv | 10.1140/epjp/s13360-023-04465-5 |
format | article |
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ϵ
2
) supremacy over the thermal stratification (
ϵ
1
). In conjunction with the obliqueness parameter (
γ
), the skin friction coefficient is lowered.</description><identifier>ISSN: 2190-5444</identifier><identifier>EISSN: 2190-5444</identifier><identifier>DOI: 10.1140/epjp/s13360-023-04465-5</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Applied and Technical Physics ; Atomic ; Coefficient of friction ; Complex Systems ; Concentration gradient ; Condensed Matter Physics ; Diffusion ; Energy balance ; Energy harvesting ; Energy storage ; Environmental engineering ; Heat exchangers ; Heat transfer ; Heat transport ; High temperature ; Hydrology ; Magnetic fields ; Mass transfer ; Mathematical and Computational Physics ; Molecular ; Nanofluids ; Nanoparticles ; Non-Newtonian fluids ; Obliqueness ; Optical and Plasma Physics ; Parameters ; Physics ; Physics and Astronomy ; Regular Article ; Skin friction ; Stagnation flow ; Stagnation point ; Storage systems ; Theoretical ; Thermal energy ; Thermal stratification ; Velocity</subject><ispartof>European physical journal plus, 2023-09, Vol.138 (9), p.831, Article 831</ispartof><rights>The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c334t-8cd07b37dbb3d4fa2875b2e841ba1420a2e6be654a60c8a549c222d44f0bc393</citedby><cites>FETCH-LOGICAL-c334t-8cd07b37dbb3d4fa2875b2e841ba1420a2e6be654a60c8a549c222d44f0bc393</cites><orcidid>0000-0001-5769-4320</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids></links><search><creatorcontrib>Dhiman, Samriti</creatorcontrib><creatorcontrib>Sharma, Tanya</creatorcontrib><creatorcontrib>Singh, Kuldeep</creatorcontrib><creatorcontrib>Nisar, Kottakkaran S.</creatorcontrib><creatorcontrib>Kumar, Rakesh</creatorcontrib><creatorcontrib>Raju, C. S. K.</creatorcontrib><title>Dual stratification and cross-diffusion effects on the non-orthogonal stagnation point flow of a nanofluid over an oscillating surface</title><title>European physical journal plus</title><addtitle>Eur. Phys. J. Plus</addtitle><description>In the fields of hydrology, environmental engineering and thermal energy storage systems, the large temperature and concentration gradients lead to simultaneous diffusion and stratification phenomena. The non-orthogonal stagnation flows are significant due to their applications in many hydrodynamical processes for emergency shutdown cooling and energy harvesting. Therefore, the present study introduces the novel concept of thermal and solutal stratifications in a nanofluid’s non-orthogonal stagnation point flow. In the concentration and energy balance equations, the diffusive heats resulting from simultaneous mass and heat transport are also taken into account. The surface of stagnation is assumed to be oscillating and stretching linearly. The mathematical model developed under these assumptions is made dimension-free using appropriate variables. The numerical results of the problem are computed using the Lobatto-IIIa formula-based finite difference bvp4c scheme. The numerical results are verified by comparing them to the findings of an earlier study, and the results are discovered to be in good agreement. The graphical illustrations depict significant alterations in the temperature and concentration plots with stratification parameters. The findings showed that the mass transfer is greatly increased by the solutal stratification’s (
ϵ
2
) supremacy over the thermal stratification (
ϵ
1
). In conjunction with the obliqueness parameter (
γ
), the skin friction coefficient is lowered.</description><subject>Applied and Technical Physics</subject><subject>Atomic</subject><subject>Coefficient of friction</subject><subject>Complex Systems</subject><subject>Concentration gradient</subject><subject>Condensed Matter Physics</subject><subject>Diffusion</subject><subject>Energy balance</subject><subject>Energy harvesting</subject><subject>Energy storage</subject><subject>Environmental engineering</subject><subject>Heat exchangers</subject><subject>Heat transfer</subject><subject>Heat transport</subject><subject>High temperature</subject><subject>Hydrology</subject><subject>Magnetic fields</subject><subject>Mass transfer</subject><subject>Mathematical and Computational Physics</subject><subject>Molecular</subject><subject>Nanofluids</subject><subject>Nanoparticles</subject><subject>Non-Newtonian fluids</subject><subject>Obliqueness</subject><subject>Optical and Plasma Physics</subject><subject>Parameters</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Regular Article</subject><subject>Skin friction</subject><subject>Stagnation flow</subject><subject>Stagnation point</subject><subject>Storage systems</subject><subject>Theoretical</subject><subject>Thermal energy</subject><subject>Thermal stratification</subject><subject>Velocity</subject><issn>2190-5444</issn><issn>2190-5444</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNqFkMtKxDAUhosoOIzzDAZcx8nlpJeljFcQ3Mw-pGnS6VCTmrSKL-Bzm5kKujOL5BD-74fzZdklJdeUAlmbYT-sI-U8J5gwjglALrA4yRaMVgQLADj9M59nqxj3JB2oKFSwyL5uJ9WjOAY1drbT6fYOKdcgHXyMuOmsneLhz1hr9BhRGsedQc477MO48613xwLVuhkefOdGZHv_gbxFCjnlvO2nrkH-3YTUjXzUXd-ntGtRnIJV2lxkZ1b10ax-3mW2vb_bbh7x88vD0-bmGWvOYcSlbkhR86Kpa96AVawsRM1MCbRWFBhRzOS1yQWonOhSCag0Y6wBsKTWvOLL7GquHYJ_m0wc5d5PIS0QJatoJXghKE2pYk4dHQRj5RC6VxU-JSXyoF0etMtZu0za5VG7FIksZzImwrUm_Pb_h34DV-eMQw</recordid><startdate>20230922</startdate><enddate>20230922</enddate><creator>Dhiman, Samriti</creator><creator>Sharma, Tanya</creator><creator>Singh, Kuldeep</creator><creator>Nisar, Kottakkaran S.</creator><creator>Kumar, Rakesh</creator><creator>Raju, C. 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S. K.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Dual stratification and cross-diffusion effects on the non-orthogonal stagnation point flow of a nanofluid over an oscillating surface</atitle><jtitle>European physical journal plus</jtitle><stitle>Eur. Phys. J. Plus</stitle><date>2023-09-22</date><risdate>2023</risdate><volume>138</volume><issue>9</issue><spage>831</spage><pages>831-</pages><artnum>831</artnum><issn>2190-5444</issn><eissn>2190-5444</eissn><abstract>In the fields of hydrology, environmental engineering and thermal energy storage systems, the large temperature and concentration gradients lead to simultaneous diffusion and stratification phenomena. The non-orthogonal stagnation flows are significant due to their applications in many hydrodynamical processes for emergency shutdown cooling and energy harvesting. Therefore, the present study introduces the novel concept of thermal and solutal stratifications in a nanofluid’s non-orthogonal stagnation point flow. In the concentration and energy balance equations, the diffusive heats resulting from simultaneous mass and heat transport are also taken into account. The surface of stagnation is assumed to be oscillating and stretching linearly. The mathematical model developed under these assumptions is made dimension-free using appropriate variables. The numerical results of the problem are computed using the Lobatto-IIIa formula-based finite difference bvp4c scheme. The numerical results are verified by comparing them to the findings of an earlier study, and the results are discovered to be in good agreement. The graphical illustrations depict significant alterations in the temperature and concentration plots with stratification parameters. The findings showed that the mass transfer is greatly increased by the solutal stratification’s (
ϵ
2
) supremacy over the thermal stratification (
ϵ
1
). In conjunction with the obliqueness parameter (
γ
), the skin friction coefficient is lowered.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1140/epjp/s13360-023-04465-5</doi><orcidid>https://orcid.org/0000-0001-5769-4320</orcidid></addata></record> |
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subjects | Applied and Technical Physics Atomic Coefficient of friction Complex Systems Concentration gradient Condensed Matter Physics Diffusion Energy balance Energy harvesting Energy storage Environmental engineering Heat exchangers Heat transfer Heat transport High temperature Hydrology Magnetic fields Mass transfer Mathematical and Computational Physics Molecular Nanofluids Nanoparticles Non-Newtonian fluids Obliqueness Optical and Plasma Physics Parameters Physics Physics and Astronomy Regular Article Skin friction Stagnation flow Stagnation point Storage systems Theoretical Thermal energy Thermal stratification Velocity |
title | Dual stratification and cross-diffusion effects on the non-orthogonal stagnation point flow of a nanofluid over an oscillating surface |
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