LINEAR-STABILITY OF POWER-LAW LIQUID-FILM FLOWS DOWN AN INCLINED PLANE

被引：69

作者：

HWANG, CC ^{[1
]}

CHEN, JL ^{[1
]}

WANG, JS ^{[1
]}

LIN, JS ^{[1
]}

机构：

[1] LIEN HO JR COLL TECHNOL,DEPT MECH ENGN,MIAOLI 36012,TAIWAN

来源：

JOURNAL OF PHYSICS D-APPLIED PHYSICS | 1994年 / 27卷 / 11期

关键词：

D O I：

10.1088/0022-3727/27/11/008

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

The linear stability of power law liquid film flows down an inclined plane is investigated. The integral method is used to derive nonlinear evolution equations for film thickness and local flow rate. After linearizing the nonlinear evolution equations, the method of normal mode is applied to study its linear stability. The results reveal that, in the case of fixing the value of power law exponent n, the stability characteristics in terms of generalized Reynolds number Re-n and generalized Weber number We(n) are the same as those of Newtonian liquids, i.e. to increase the Reynolds number, or to decrease the Weber number will destabilize the film flow system. Furthermore, decreasing only the magnitude of n will cause more unstable film flow, and make the dimensional wave speed faster.

引用

页码：2297 / 2301

页数：5

共 21 条

[11] STABILITY OF AN ELASTICO-VISCOUS LIQUID FILM FLOWING DOWN AN INCLINED PLANE [J].

LAI, W .

PHYSICS OF FLUIDS, 1967, 10 (04) :844-&

[12] KAPITZAS METHOD OF FILM FLOW DESCRIPTION [J].

LEE, J .

CHEMICAL ENGINEERING SCIENCE, 1969, 24 (08) :1309-+

[13] SLOW SPREADING OF A SHEET OF BINGHAM FLUID ON AN INCLINED PLANE [J].

LIU, KF ;

MEI, CC .

JOURNAL OF FLUID MECHANICS, 1989, 207 :505-529

[14]

MAURIN LN, 1970, NONLINEAR WAVE P 2 P, V190, P321

[15] ROLL WAVES ON A SHALLOW LAYER OF MUD MODELED AS A POWER-LAW FLUID [J].

NG, CO ;

MEI, CC .

JOURNAL OF FLUID MECHANICS, 1994, 263 :151-183

[16] GRAVITY FLOW OF A NON-NEWTONIAN FLUID SHEET ON AN INCLINED PLANE [J].

PASCAL, H .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1991, 29 (10) :1307-1313

[17] LONG WAVES ON INCLINED FILMS AT HIGH REYNOLDS-NUMBER [J].

PROKOPIOU, T ;

CHENG, M ;

CHANG, HC .

JOURNAL OF FLUID MECHANICS, 1991, 222 :665-691

[18] ON RUPTURE OF A THINNING FILM OF NON-NEWTONIAN POWER LAW LIQUID [J].

SATHYAGAL, AN ;

NARSIMHAN, G .

CHEMICAL ENGINEERING COMMUNICATIONS, 1992, 111 :161-175

[19] THE EFFECTS OF INERTIA ON THE STABILITY OF THE CONVECTIVE FLOW IN INCLINED PARTICLE SETTLERS [J].

SHAQFEH, ESG ;

ACRIVOS, A .

PHYSICS OF FLUIDS, 1987, 30 (04) :960-973

[20]

Shenoy A.V., 1982, ADV HEAT TRANSFER, V15, P143, DOI [10.1016/S0065-2717(08)70174-6, DOI 10.1016/S0065-2717(08)70174-6]

← 1 2 3 →