The spin coating of wetting liquid on an axisymmetrically and radially heated disk is studied numerically under lubrication and zero Biot number assumptions. Our results show that both thermocapillarity (temperature dependent surface tension) and thermoviscosity (temperature dependent viscosity) effects can be harnessed to enhance the depletion rate of the spin coated liquid film if the disk center is hot. When the applied radial temperature profile has a steep change, an anchored shock wave is generated with a strength determined by the temperature induced viscosity change.

1.
Emslie
A. G.
,
Bonner
F. T.
, and
Peck
L. G.
,
J. Appl. Phys.
29
,
858
858
(
1958
).
2.
Acrivos
A.
,
Shah
M. J.
, and
Petersen
E. E.
,
J. Appl. Phys.
31
,
963
963
(
1960
).
3.
Flack
W. W.
,
Soong
D. S.
,
Bell
A. T.
, and
Hess
D. W.
,
J. Appl. Phys.
56
,
1199
1199
(
1984
).
4.
Meyerhofer
D.
,
J. Appl. Phys.
49
,
3993
3993
(
1978
).
5.
Middleman
S.
,
J. Appl. Phys.
62
,
2530
2530
(
1987
).
6.
Dandapat
B. S.
and
Rayy
P. C.
,
J. Phys. D: Appl. Phys.
27
,
2041
2041
(
1994
).
7.
Kitamura
A.
,
Phys. Fluids
10
,
2788
2788
(
2001
).
8.
Oron
A.
,
Davis
S. H.
,
Bankoff
S. G.
,
Reviews of Modern Physics
,
69
,
931
931
(
1997
).
9.
M. Schlichting, Boundary Layer Theory (McGraw-Hill, New York, 1960).
10.
Ehrhard
P.
and
Davis
S. H.
,
J. Fluid Mech.
229
,
365
365
(
1991
).
11.
Teletzke
G. F.
,
Davis
H. T.
, and
Scriven
L. E.
,
Rev. Phys. Appl.
23
,
989
989
(
1988
).
12.
W. F. Ames, Numerical Methods for Partial Differential Equations, 2nd ed. (Academic, New York, 1977).
13.
W. H. Press, S. A. Teukolsky, W. T. Vetterling and B. P. Flannery, Numerical Recipes in Fortran 77, Cambridge University Press (1992).
14.
J. E. Mark, Polymer data handbook, (Oxford University Press, 1999).
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