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
Full-text PDF Free Access
Abstract |
References |
Similar Articles |
Additional Information
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.
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 (1966), 673–687. MR 198781, DOI https://doi.org/10.1017/S0022112066000910
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 (1951), 42–63. MR 40899, DOI https://doi.org/10.1093/qjmam/4.1.42
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)
Similar Articles
Retrieve articles in Quarterly of Applied Mathematics
with MSC:
76D05,
76V05
Retrieve articles in all journals
with MSC:
76D05,
76V05
Additional Information
Article copyright:
© Copyright 1985
American Mathematical Society