An analytical solution for the total heat transfer in the thin-film region of an evaporating meniscus

作者：Wang Hao; Garimella Suresh V^*; Murthy Jayathi Y

来源：International Journal of Heat and Mass Transfer, 2008, 51(25-26): 6317-6322.

DOI：10.1016/j.ijheatmasstransfer.2008.06.011

• Meniscus
• Thin-film region
• Disjoining pressure
• Evaporation
• Analytical solution

When a liquid wets a solid wall, the extended meniscus may be divided into three regions: a non-evaporating region where liquid is adsorbed on the wall; a thin-film region where effects of long-range molecular forces (disjoining pressure) are felt: and an intrinsic meniscus region where capillary forces dominate. Among these, the thin-film region is characterized by high heat transfer rates because its small thickness results in a very low conduction resistance. In this work, a simplified model based on the augmented Young-Laplace equation is developed and an analytical solution is obtained for the total heat transfer in the thin-film region. The results are consistent with previously published numerical solutions. The present work is valid for a much wider range of fluid thermal conductivity than a previous analytical solution by Schonberg and Wayner, which is only applicable for fluids with very low conductivity. Based on the analytical expression developed, the thin-film heat transfer is found to increase with increasing disjoining pressure, and to decrease with increasing liquid viscosity.

• 出版日期2008-12
• 单位北京大学