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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The Royal Society
2018-01-01
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| Series: | Royal Society Open Science |
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| Online Access: | https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.171880 |
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doaj-487ff88372c3411986c3515299476f3a2020-11-25T03:58:37ZengThe Royal SocietyRoyal Society Open Science2054-57032018-01-015710.1098/rsos.171880171880Bistable fully developed mixed convection flow with viscous dissipation in a vertical channelM. MiklavčičIt 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.https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.171880viscousconvectionstabilitydual solutionsthermal radiationhysteresis |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
M. Miklavčič |
| spellingShingle |
M. Miklavčič Bistable fully developed mixed convection flow with viscous dissipation in a vertical channel Royal Society Open Science viscous convection stability dual solutions thermal radiation hysteresis |
| author_facet |
M. Miklavčič |
| author_sort |
M. Miklavčič |
| title |
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_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_sort |
bistable fully developed mixed convection flow with viscous dissipation in a vertical channel |
| publisher |
The Royal Society |
| series |
Royal Society Open Science |
| issn |
2054-5703 |
| publishDate |
2018-01-01 |
| 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. |
| topic |
viscous convection stability dual solutions thermal radiation hysteresis |
| url |
https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.171880 |
| work_keys_str_mv |
AT mmiklavcic bistablefullydevelopedmixedconvectionflowwithviscousdissipationinaverticalchannel |
| _version_ |
1724456252144091136 |