Stagnation flow on the surface of a quiescent fluid—an exact solution of the Navier-Stokes equations
Author:
C. Y. Wang
Journal:
Quart. Appl. Math. 43 (1985), 215-223
MSC:
Primary 76D05; Secondary 76V05
DOI:
https://doi.org/10.1090/qam/793530
MathSciNet review:
793530
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Abstract: A lighter fluid impinges downward on a heavier, otherwise quiescent fluid. The region near the stagnation point is investigated. The Navier-Stokes equations yield similarity solutions for both upper and lower regions. The convective heat transfer is also determined.
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F. Homann, Der Einfluss grosser Zähigkeit bei der Strömung um den Zylinder und um die Kugel, Z. angew. Math. Mech. 16, 153–164 (1936)
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C. Y. Wang, Effect of spreading of material on the surface of a fluid-an exact solution, Int. J. Nonlinear Mech. 6, 255–262 (1971)
K. Hiemenz, Die Grenzschicht an einem in den gleichfȯrmingen Flüssigkeitsstrom eingetauchten geraden Kreiszylinder, Dinglers J. 326, 321–410 (1911)
F. Homann, Der Einfluss grosser Zähigkeit bei der Strömung um den Zylinder und um die Kugel, Z. angew. Math. Mech. 16, 153–164 (1936)
J. T. Stuart, Double boundary layers in oscillatory viscous flow, J. Fluid Mech. 24, 673–687 (1966)
L. J. Crane, Flow past a stretching plate, Zeit. Angew. Math. Phys. 21, 645–647 (1970)
R. C. Lock, The velocity distribution in the laminar boundary layer between parallel streams, Quart. J. Mech. Appl. Math. 4, 42–63 (1951)
C. Y. Wang, Effect of spreading of material on the surface of a fluid-an exact solution, Int. J. Nonlinear Mech. 6, 255–262 (1971)
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Article copyright:
© Copyright 1985
American Mathematical Society
