Transient film profile of thin liquid film flow on a stretching surface

被引:39
作者
Dandapat, B. S. [1 ]
Kitamura, A.
Santra, B.
机构
[1] Indian Stat Inst, Phys & Appl Math Unit, Kolkata 700108, W Bengal, India
[2] Japan Nucl Cycle Dev Inst, Tokai, Ibaraki 3191194, Japan
来源
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2006年 / 57卷 / 04期
关键词
stretching surfaces; coating; thin liquid films; two dimensional flow; fluid flow; asymptotic solutions;
D O I
10.1007/s00033-005-0040-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we have studied a non-planar thin liquid film flow on a planar stretching surface. The stretching surface is assumed to stretch impulsively from rest and the effect of inertia of the liquid is considered. Equations describing the laminar flow on the stretching surface are solved analytically. It is observed that faster stretching causes quicker thinning of the film on the stretching surface. Velocity distribution in the liquid film and the transient film profile as functions of time are obtained.
引用
收藏
页码:623 / 635
页数:13
相关论文
共 25 条
[1]   HEAT-TRANSFER FROM A STRETCHING SURFACE [J].
AFZAL, N .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1993, 36 (04) :1128-1131
[2]  
ANDERSON JC, 1962, TETRAHEDRON LETT, P1
[3]   MAGNETOHYDRODYNAMIC FLOW OF A POWER-LAW FLUID OVER A STRETCHING SHEET [J].
ANDERSSON, HI ;
BECH, KH ;
DANDAPAT, BS .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1992, 27 (06) :929-936
[4]   Heat transfer in a liquid film on an unsteady stretching surface [J].
Andersson, HI ;
Aarseth, JB ;
Dandapat, BS .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2000, 43 (01) :69-74
[5]   DIFFUSION OF A CHEMICALLY REACTIVE SPECIES FROM A STRETCHING SHEET [J].
ANDERSSON, HI ;
HANSEN, OR ;
HOLMEDAL, B .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1994, 37 (04) :659-664
[6]  
Andersson HI., 1991, Stab Appl Anal Cont Media (SAACM), V1, P339
[7]   HYDROMAGNETIC FLOW AND HEAT-TRANSFER OVER A STRETCHING SHEET [J].
CHAKRABARTI, A ;
GUPTA, AS .
QUARTERLY OF APPLIED MATHEMATICS, 1979, 37 (01) :73-78
[8]  
Chen CH, 2003, HEAT MASS TRANSFER, V39, P791, DOI [10.1007/s00231-002-0363-2, 10.1007/S00231-002-0363-2]
[9]   FLOW PAST A STRETCHING PLATE [J].
CRANE, LJ .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1970, 21 (04) :645-&
[10]  
Dandapat BS, 2004, ARCH MECH, V56, P87