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Bistable fully developed mixed convection flow with viscous dissipation in a vertical channel
It is shown that unstable dual solutions in fully developed mixed convection flow in a vertical channel disappear in the presence of relatively strong thermal radiation. In this case, we have a unique stable flow at each pressure gradient. When the effect of thermal radiation is weak another branch...
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
The Royal Society Publishing
2018
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6083723/ https://www.ncbi.nlm.nih.gov/pubmed/30109046 http://dx.doi.org/10.1098/rsos.171880 |
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author | Miklavčič, M. |
author_facet | Miklavčič, M. |
author_sort | Miklavčič, M. |
collection | PubMed |
description | It is shown that unstable dual solutions in fully developed mixed convection flow in a vertical channel disappear in the presence of relatively strong thermal radiation. In this case, we have a unique stable flow at each pressure gradient. When the effect of thermal radiation is weak another branch of stable solutions is created, resulting in bistable flows. In this case, the flow exhibits hysteresis with variation of the pressure gradient. Optically, a thin radiation model is used. |
format | Online Article Text |
id | pubmed-6083723 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | The Royal Society Publishing |
record_format | MEDLINE/PubMed |
spelling | pubmed-60837232018-08-14 Bistable fully developed mixed convection flow with viscous dissipation in a vertical channel Miklavčič, M. R Soc Open Sci Mathematics It is shown that unstable dual solutions in fully developed mixed convection flow in a vertical channel disappear in the presence of relatively strong thermal radiation. In this case, we have a unique stable flow at each pressure gradient. When the effect of thermal radiation is weak another branch of stable solutions is created, resulting in bistable flows. In this case, the flow exhibits hysteresis with variation of the pressure gradient. Optically, a thin radiation model is used. The Royal Society Publishing 2018-07-11 /pmc/articles/PMC6083723/ /pubmed/30109046 http://dx.doi.org/10.1098/rsos.171880 Text en © 2018 The Authors. http://creativecommons.org/licenses/by/4.0/ Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited. |
spellingShingle | Mathematics Miklavčič, M. Bistable fully developed mixed convection flow with viscous dissipation in a vertical channel |
title | Bistable fully developed mixed convection flow with viscous dissipation in a vertical channel |
title_full | Bistable fully developed mixed convection flow with viscous dissipation in a vertical channel |
title_fullStr | Bistable fully developed mixed convection flow with viscous dissipation in a vertical channel |
title_full_unstemmed | Bistable fully developed mixed convection flow with viscous dissipation in a vertical channel |
title_short | Bistable fully developed mixed convection flow with viscous dissipation in a vertical channel |
title_sort | bistable fully developed mixed convection flow with viscous dissipation in a vertical channel |
topic | Mathematics |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6083723/ https://www.ncbi.nlm.nih.gov/pubmed/30109046 http://dx.doi.org/10.1098/rsos.171880 |
work_keys_str_mv | AT miklavcicm bistablefullydevelopedmixedconvectionflowwithviscousdissipationinaverticalchannel |