Analytical Solutions of Heat Transfer and Film Thickness in Thin-Film Evaporation

被引:33
作者
Yan, Chunji [1 ]
Ma, H. B. [2 ]
机构
[1] Dalian Maritime Univ, Marine Engn Coll, Dalian 116024, Liaoning Provin, Peoples R China
[2] Univ Missouri, Dept Mech & Aerosp Engn, Columbia, MO 65211 USA
来源
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME | 2013年 / 135卷 / 03期
基金
中国国家自然科学基金;
关键词
analytical solution; thin film; heat transfer; evaporation; disjoining pressure; TRANSFER COEFFICIENT; MENISCUS; REGION;
D O I
10.1115/1.4007856
中图分类号
O414.1 [热力学];
学科分类号
摘要
A mathematical model predicting heat transfer and film thickness in thin-film region is developed herein. Utilizing dimensionless analysis, analytical solutions have been obtained for heat flux distribution, total heat transfer rate per unit length, location of the maximum heat flux and ratio of conduction thermal resistance to convection thermal resistance in the evaporating film region. These analytical solutions show that the maximum dimensionless heat flux is constant which is independent of the superheat. Maximum total heat transfer rate is determined for a given film region. The ratio of conduction thermal resistance to convection thermal resistance is a function of dimensionless film thickness. This work will lead to a better understanding of heat transfer and fluid flow occurring in the evaporating film region.
引用
收藏
页数:6
相关论文
共 14 条
[1]   NONLINEAR STABILITY OF EVAPORATING CONDENSING LIQUID-FILMS [J].
BURELBACH, JP ;
BANKOFF, SG ;
DAVIS, SH .
JOURNAL OF FLUID MECHANICS, 1988, 195 :463-494
[2]  
Derjaguin B.V., 1957, P 2 INT C SURFACE AC, V2, P145
[3]   Evaporation heat transfer in sintered porous media [J].
Hanlon, MA ;
Ma, HB .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2003, 125 (04) :644-652
[4]   HEAT-TRANSFER IN THE MENISCUS THIN-FILM TRANSITION REGION [J].
HOLM, FW ;
GOPLEN, SP .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1979, 101 (03) :543-547
[5]   Temperature variation and heat transfer in triangular grooves with an evaporating film [J].
Ma, HB ;
Peterson, GP .
JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER, 1997, 11 (01) :90-97
[6]  
Ma HB, 1998, MICROSCALE THERM ENG, V2, P283
[7]   A PHYSICAL MODEL OF THE EVAPORATING MENISCUS [J].
MIRZAMOGHADAM, A ;
CATTON, I .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1988, 110 (01) :201-207
[8]   EVAPORATING MENISCI OF WETTING FLUIDS [J].
MOOSMAN, S ;
HOMSY, GM .
JOURNAL OF COLLOID AND INTERFACE SCIENCE, 1980, 73 (01) :212-223
[9]   EVAPORATION FROM A 2-DIMENSIONAL EXTENDED MENISCUS [J].
POTASH, M ;
WAYNER, PC .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1972, 15 (10) :1851-&
[10]   ANALYTICAL SOLUTION FOR THE INTEGRAL CONTACT LINE EVAPORATIVE HEAT SINK [J].
SCHONBERG, JA ;
WAYNER, PC .
JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER, 1992, 6 (01) :128-134