Abstract

A similarity solution is presented for Marangoni flow over a flat surface for both the velocity and temperature profiles assuming developing boundary layer flow along the surface with various imposed temperature profiles. Marangoni flow results from variations of the surface tension along a liquid-vapor interface and is especially noticeable in microgravity. Solutions are presented for the surface velocity, the total flow rate and the heat transfer for various temperature profiles and various Prandtl numbers.

1.
Straub
,
J.
,
1994
, “
The Role of Surface Tension for Two-Phase Heat and Mass Transfer in the Absence of Gravity
,”
Exp. Therm. Fluid Sci.
,
9
, pp.
253
273
.
2.
Christopher, D., and Wang, B., 1998, “Marangoni Convection around a Bubble in Microgravity,” Heat Transfer, 1998, Proceedings 11th International Heat Transfer Conference, J. S. Lee, ed., Taylor and Francis, Inc., Levittown, PA, 3, pp. 489–494.
3.
Arafune
,
K.
, and
Hirata
,
A.
,
1998
, “
Interactive Solutal and Thermal Marangoni Convection in a Rectangular Open Boat
,”
Numer. Heat Transfer, Part A
,
34
, pp.
421
429
.
4.
Croll
,
A.
,
Muller-Sebert
,
W.
, and
Nitsche
,
R.
,
1989
, “
The Critical Marangoni Number for the Onset of Time-dependent Convection in Silicon
,”
Mater. Res. Bull.
,
24
, pp.
995
1004
.
5.
Okano
,
Y.
,
Itoh
,
M.
, and
Hirata
,
A.
,
1989
, “
Natural and Marangoni Convections in a Two-Dimensional Rectangular Open Boat
,”
J. Chem. Eng. Jpn.
,
22
, pp.
275
281
.
6.
Banks
,
W. H. H.
, and
Zaturska
,
M. B.
,
1986
, “
Eigensolutions in Boundary-Layer Flow Adjacent to a Stretching Wall
,”
IMA J. Appl. Math.
,
36
, pp.
263
273
.
7.
Arafune
,
K.
, and
Hirata
,
A.
,
1999
, “
Thermal and Solutal Marangoni Convection in In-Ga-Sb System
,”
J. Cryst. Growth
,
197
, pp.
811
817
.
8.
Schwabe
,
D.
, and
Metzger
,
J.
,
1989
, “
Coupling and Separation of Buoyant and Thermocapillary Convection
,”
J. Cryst. Growth
,
97
, pp.
23
33
.
You do not currently have access to this content.