Effects of Variable Viscosity and Internal Heat Generation on Rayleigh–Bénard Convection in Newtonian Dielectric Liquid
The onset of Rayleigh–Bénard convection of variable-viscosity Newtonian dielectric liquid confined between two parallel plates is subject to free-free isothermal boundary condition. The combined and individual effects of temperature-dependent and electric-field-dependent variable-viscosity along wit...
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| Veröffentlicht in: | International journal of applied and computational mathematics 2021-06, Vol.7 (3), Article 119 |
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| creator | Shivaraj, Bhavya Siddheshwar, P. G. Uma, D. |
| description | The onset of Rayleigh–Bénard convection of variable-viscosity Newtonian dielectric liquid confined between two parallel plates is subject to free-free isothermal boundary condition. The combined and individual effects of temperature-dependent and electric-field-dependent variable-viscosity along with the internal heat generation are studied using the higher order Galerkin technique. This theoretical study shows that even a mild temperature-dependent variable-viscosity destabilizes the system and the electric-field-dependent variable-viscosity stabilizes the system both in the absence/presence of heat source/sink. |
| doi_str_mv | 10.1007/s40819-021-01060-z |
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This theoretical study shows that even a mild temperature-dependent variable-viscosity destabilizes the system and the electric-field-dependent variable-viscosity stabilizes the system both in the absence/presence of heat source/sink.</description><identifier>ISSN: 2349-5103</identifier><identifier>EISSN: 2199-5796</identifier><identifier>DOI: 10.1007/s40819-021-01060-z</identifier><language>eng</language><publisher>New Delhi: Springer India</publisher><subject>Applications of Mathematics ; Applied mathematics ; Boundary conditions ; Computational mathematics ; Computational Science and Engineering ; Dependent variables ; Electric fields ; Heat ; Heat generation ; Mathematical and Computational Physics ; Mathematical Modeling and Industrial Mathematics ; Mathematics ; Mathematics and Statistics ; Nuclear Energy ; Operations Research/Decision Theory ; Original Paper ; Parallel plates ; Rayleigh-Benard convection ; Temperature dependence ; Temperature effects ; Theoretical ; Viscosity</subject><ispartof>International journal of applied and computational mathematics, 2021-06, Vol.7 (3), Article 119</ispartof><rights>The Author(s), under exclusive licence to Springer Nature India Private Limited 2021</rights><rights>The Author(s), under exclusive licence to Springer Nature India Private Limited 2021.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c234z-69dbacb190c098882ecd3319b92b381cda9a8d0ec9e69529ebae77e390db8d3</citedby><cites>FETCH-LOGICAL-c234z-69dbacb190c098882ecd3319b92b381cda9a8d0ec9e69529ebae77e390db8d3</cites><orcidid>0000-0002-8932-2131 ; 0000-0001-8292-8694 ; 0000-0002-0828-0436</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s40819-021-01060-z$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s40819-021-01060-z$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Shivaraj, Bhavya</creatorcontrib><creatorcontrib>Siddheshwar, P. 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| ispartof | International journal of applied and computational mathematics, 2021-06, Vol.7 (3), Article 119 |
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| language | eng |
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| subjects | Applications of Mathematics Applied mathematics Boundary conditions Computational mathematics Computational Science and Engineering Dependent variables Electric fields Heat Heat generation Mathematical and Computational Physics Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Nuclear Energy Operations Research/Decision Theory Original Paper Parallel plates Rayleigh-Benard convection Temperature dependence Temperature effects Theoretical Viscosity |
| title | Effects of Variable Viscosity and Internal Heat Generation on Rayleigh–Bénard Convection in Newtonian Dielectric Liquid |
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