Liquid film on an unsteady stretching surface
Author:
C. Y. Wang
Journal:
Quart. Appl. Math. 48 (1990), 601-610
MSC:
Primary 76D05
DOI:
https://doi.org/10.1090/qam/1079908
MathSciNet review:
MR1079908
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Abstract: A fluid film lies on an accelerating stretching surface. A similarity transform reduces the unsteady Navier-Stokes equations to a nonlinear ordinary differential equation governed by a nondimensional unsteady parameter. Asymptotic and numerical solutions are found. The results represent rare exact similarity solutions of the unsteady Navier-Stokes equations.
L. J. Crane. Flow past a stretching plate, Zeit. Angew. Math. Phys. 21, 645–647 (1970)
- J. F. Brady and A. Acrivos, Steady flow in a channel or tube with an accelerating surface velocity. An exact solution to the Navier-Stokes equations with reverse flow, J. Fluid Mech. 112 (1981), 127–150. MR 639234, DOI https://doi.org/10.1017/S0022112081000323
- C. Y. Wang, The three-dimensional flow due to a stretching flat surface, Phys. Fluids 27 (1984), no. 8, 1915–1917. MR 758728, DOI https://doi.org/10.1063/1.864868
C. Y. Wang, Fluid flow due to a stretching cylinder, Phys. Fluids 31, 466–468 (1988)
K. T. Yang, Unsteady laminar boundary layers in an incompressible stagnation flow, J. Appl. Mech. 25, 421–427 (1958)
G. Brikhoff, Hydrodynamics, a Study in Fact and Similitude, Revised Ed., Princeton Univ. Press, Princeton, N. J., 1960
M. Abramowitz and I. A. Stegun, Eds., Handbook of Mathematical Functions, Dover, New York, 1965
L. J. Crane. Flow past a stretching plate, Zeit. Angew. Math. Phys. 21, 645–647 (1970)
J. F. Brady and A. Acrivos, Steady flow in a channel or tube with an accelerating surface velocity. An exact solution to the Navier-Stokes equations with reverse flow, J. Fluid Mech. 112, 127–150 (1981)
C. Y. Wang. The three dimensional flow due to a stretching flat surface, Phys. Fluids 27, 1915–1917 (1984)
C. Y. Wang, Fluid flow due to a stretching cylinder, Phys. Fluids 31, 466–468 (1988)
K. T. Yang, Unsteady laminar boundary layers in an incompressible stagnation flow, J. Appl. Mech. 25, 421–427 (1958)
G. Brikhoff, Hydrodynamics, a Study in Fact and Similitude, Revised Ed., Princeton Univ. Press, Princeton, N. J., 1960
M. Abramowitz and I. A. Stegun, Eds., Handbook of Mathematical Functions, Dover, New York, 1965
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Article copyright:
© Copyright 1990
American Mathematical Society
