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Viscous flow due to a shrinking sheet
Author(s):
M.
Miklavcic;
C.
Y.
Wang
Journal:
Quart. Appl. Math.
64
(2006),
283-290.
MSC (2000):
Primary 76D03, 76D05, 34B15
Posted:
April 6, 2006
MathSciNet review:
2243864
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Additional information
Abstract:
The viscous flow induced by a shrinking sheet is studied. Existence and (non)uniqueness are proved. Exact solutions, both numerical and in closed form, are found.
References:
-
- 1.
- Bhattacharyya, S.N. and Gupta, A.S. (1985) On the stability of viscous flow over a stretching sheet. Quart. Appl. Math. 43, 359-367. MR 0814233 (87a:76056)
- 2.
- Brady, J.F. and Acrivos, A. (1981) Steady flow in a channel or tube with accelerating surface velocity. An exact solution to the Navier-Stokes equations with reverse flow. J. Fluid Mech. 112, 127-150. MR 0639234 (82m:76017)
- 3.
- Crane, L.J. (1970) Flow past a stretching plate. ZAMP 21, 645-647.
- 4.
- Gupta, P.S. and Gupta, A.S. (1977) Heat and mass transfer on a stretching sheet with suction and blowing. Can. J. Chem. Eng. 55, 744-746.
- 5.
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- 6.
- McLeod, J.B. and Rajagopal, K.R. (1987) On the uniqueness of flow of a Navier-Stokes fluid due to a stretching boundary. Arch. Rat. Mech. Anal. 98, 385-393. MR 0872753 (88c:35131)
- 7.
- Troy, W., Overman II, E.A., Ermentrout, G.B. and Keener, J.P. (1987) Uniqueness of flow of a second-order fluid past a stretching sheet. Quart. Appl. Math. 44, 753-755. MR 0872826 (87m:76009)
- 8.
- Usha, R. and Sridharan, R. (1995) The axisymmetrical motion of a liquid film on an unsteady stretching surface. J. Fluids Eng. 117, 81-85.
- 9.
- Wang, C.Y. (1984) The three-dimensional flow due to a stretching flat surface. Phys. Fluids 27, 1915-1917. MR 0758728 (85g:76014)
- 10.
- Wang, C.Y. (1988) Fluid flow due to a stretching cylinder. Phys. Fluids 31, 466-468.
- 11.
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76D03, 76D05, 34B15
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76D03, 76D05, 34B15
Additional Information:
M.
Miklavcic
Affiliation:
Dept. of Mathematics, Michigan State University, East Lansing, Michigan 48824
Email:
milan@math.msu.edu
C.
Y.
Wang
Affiliation:
Dept. of Mathematics, Michigan State University, East Lansing, Michigan 48824
Email:
cywang@math.msu.edu
PII:
S0033-569X-06-01002-5
Received by editor(s):
July 6, 2005
Posted:
April 6, 2006
Copyright of article:
Copyright
2006,
Brown University
The copyright for this article reverts to public domain after 28 years from publication.
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