On the stability of viscous flow over a stretching sheet
Authors:
S. N. Bhattacharyya and A. S. Gupta
Journal:
Quart. Appl. Math. 43 (1985), 359-367
MSC:
Primary 76E05; Secondary 76-08, 76D10
DOI:
https://doi.org/10.1090/qam/814233
MathSciNet review:
814233
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Abstract: The linear stability of two-dimensional boundary layer flow of an incompresible viscous fluid over a flat deformable sheet is investigated when the sheet is stretched in its own plane with an outward velocity proportional to the distance from a point on it. Using Galerkin’s method the stability equations are solved for three-dimensional disturbances periodic in a direction normal to the plane of the basic flow and it is shown that the flow is stable.
B. C. Sakiadis, AIChem. E.J. 7, 26 (1961)
L. E. Erickson; L. T. Fan and V. G. Fox, Ind. Eng. Chem. Fundam. 5, 19 (1966)
P. D. McCormack and L. Crane, Physical fluid dynamics, Academic Press, 1973
J. E. Danberg and K. S. Fansler, Quart. Appl. Math. 34, 305 (1976)
J. Vleggaar, Chem. Eng. Sci. 32, 1517 (1977)
H. Görtler, 50 Jahre Grenzschichtforschung, Friedr. Vieweg & Sohn, Braunschweig, p. 304 (1955)
G. Hämmerlin, 50 Jahre Grenzschichtforschung, Friedr. Vieweg & Sohn, Braunschweig, p. 315 (1955)
W. J. Duncan, Galerkin’s method in mechanics and differential equations, Rep. Memor. Aero. Res. Comm., London, No. 1798 (1937)
- Louis A. Pipes, Applied mathematics for engineers and physicists, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1958. MR 0096576
- S. Chandrasekhar, Hydrodynamic and hydromagnetic stability, The International Series of Monographs on Physics, Clarendon Press, Oxford, 1961. MR 0128226
B. C. Sakiadis, AIChem. E.J. 7, 26 (1961)
L. E. Erickson; L. T. Fan and V. G. Fox, Ind. Eng. Chem. Fundam. 5, 19 (1966)
P. D. McCormack and L. Crane, Physical fluid dynamics, Academic Press, 1973
J. E. Danberg and K. S. Fansler, Quart. Appl. Math. 34, 305 (1976)
J. Vleggaar, Chem. Eng. Sci. 32, 1517 (1977)
H. Görtler, 50 Jahre Grenzschichtforschung, Friedr. Vieweg & Sohn, Braunschweig, p. 304 (1955)
G. Hämmerlin, 50 Jahre Grenzschichtforschung, Friedr. Vieweg & Sohn, Braunschweig, p. 315 (1955)
W. J. Duncan, Galerkin’s method in mechanics and differential equations, Rep. Memor. Aero. Res. Comm., London, No. 1798 (1937)
L. A. Pipes, Applied mathematics for engineers and physicists, McGraw Hill, 1958
S. Chandrasekhar, Hydrodynamic and hydromagnetic stability, Oxford Univ. Press, 1961
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Article copyright:
© Copyright 1985
American Mathematical Society
