Abstract
The effect of surface tension on laminar natural convection in a vertical cylindrical cavity filled with a weak evaporating liquid has been analyzed numerically. The cylindrical enclosure is insulated at the bottom, heated by a constant heat flux from the side, and cooled by a non-uniform evaporative heat flux from the top free surface having temperature-dependent surface tension. Governing equations with corresponding boundary conditions formulated in dimensionless stream function, vorticity, and temperature have been solved by finite difference method of the second-order accuracy. The influence of Rayleigh number, Marangoni number, and aspect ratio on the liquid flow and heat transfer has been studied. Obtained results have revealed that the heat transfer rate at free surface decreases with Marangoni number and increases with Rayleigh number, while the average temperature inside the cavity has an opposite behavior; namely, it growths with Marangoni number and reduces with Rayleigh number.
| Original language | English |
|---|---|
| Pages (from-to) | 1-12 |
| Number of pages | 12 |
| Journal | Continuum Mechanics and Thermodynamics |
| DOIs | |
| Publication status | Accepted/In press - 7 Jul 2017 |
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Keywords
- Cylindrical cavity
- Evaporation
- Free surface
- Marangoni effect
- Natural convection
ASJC Scopus subject areas
- Materials Science(all)
- Mechanics of Materials
- Physics and Astronomy(all)
Cite this
Natural convection with evaporation in a vertical cylindrical cavity under the effect of temperature-dependent surface tension. / Kozhevnikov, Danil A.; Sheremet, Mikhail A.
In: Continuum Mechanics and Thermodynamics, 07.07.2017, p. 1-12.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Natural convection with evaporation in a vertical cylindrical cavity under the effect of temperature-dependent surface tension
AU - Kozhevnikov, Danil A.
AU - Sheremet, Mikhail A.
PY - 2017/7/7
Y1 - 2017/7/7
N2 - The effect of surface tension on laminar natural convection in a vertical cylindrical cavity filled with a weak evaporating liquid has been analyzed numerically. The cylindrical enclosure is insulated at the bottom, heated by a constant heat flux from the side, and cooled by a non-uniform evaporative heat flux from the top free surface having temperature-dependent surface tension. Governing equations with corresponding boundary conditions formulated in dimensionless stream function, vorticity, and temperature have been solved by finite difference method of the second-order accuracy. The influence of Rayleigh number, Marangoni number, and aspect ratio on the liquid flow and heat transfer has been studied. Obtained results have revealed that the heat transfer rate at free surface decreases with Marangoni number and increases with Rayleigh number, while the average temperature inside the cavity has an opposite behavior; namely, it growths with Marangoni number and reduces with Rayleigh number.
AB - The effect of surface tension on laminar natural convection in a vertical cylindrical cavity filled with a weak evaporating liquid has been analyzed numerically. The cylindrical enclosure is insulated at the bottom, heated by a constant heat flux from the side, and cooled by a non-uniform evaporative heat flux from the top free surface having temperature-dependent surface tension. Governing equations with corresponding boundary conditions formulated in dimensionless stream function, vorticity, and temperature have been solved by finite difference method of the second-order accuracy. The influence of Rayleigh number, Marangoni number, and aspect ratio on the liquid flow and heat transfer has been studied. Obtained results have revealed that the heat transfer rate at free surface decreases with Marangoni number and increases with Rayleigh number, while the average temperature inside the cavity has an opposite behavior; namely, it growths with Marangoni number and reduces with Rayleigh number.
KW - Cylindrical cavity
KW - Evaporation
KW - Free surface
KW - Marangoni effect
KW - Natural convection
UR - http://www.scopus.com/inward/record.url?scp=85021995638&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85021995638&partnerID=8YFLogxK
U2 - 10.1007/s00161-017-0586-6
DO - 10.1007/s00161-017-0586-6
M3 - Article
SP - 1
EP - 12
JO - Continuum Mechanics and Thermodynamics
JF - Continuum Mechanics and Thermodynamics
SN - 0935-1175
ER -