Nonorthogonal stagnation flow on the surface of a quiescent fluid—an exact solution of the Navier-Stokes equation
Author:
Tianshu Liu
Journal:
Quart. Appl. Math. 50 (1992), 39-47
MSC:
Primary 76D05
DOI:
https://doi.org/10.1090/qam/1146622
MathSciNet review:
MR1146622
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Abstract: An exact solution of the Navier-Stokes equation that describes the two-dimensional impingement of a light fluid on the surface of a heavier fluid at an arbitrary angle of incidence, assuming no surface distortion is obtained.
K. Hiemenz, Die Grenzschicht an einem in den gleichformigen Flussigkeitsstrom eingetauchten geraden Kreiszylinder, Dingl. Polytech. J. 326, 321 (1911)
L. Howarth, On the calculation of the steady flow in the boundary layer near the surface of a cylinder in a stream, ARC RM 1632 (1935)
J. T. Stuart, The viscous flow near a stagnation point when the external flow has uniform vorticity, J. Aerospace Sci. 26, 124–125 (1959)
K. Tamada, Two-dimensional stagnation-point flow impinging obliquely on a plate wall, J. Phys. Soc. Japan 46, 310–311 (1979)
- J. M. Dorrepaal, An exact solution of the Navier-Stokes equation which describes nonorthogonal stagnation-point flow in two dimensions, J. Fluid Mech. 163 (1986), 141–147. MR 834711, DOI https://doi.org/10.1017/S0022112086002240
- C. Y. Wang, Stagnation flow on the surface of a quiescent fluid—an exact solution of the Navier-Stokes equations, Quart. Appl. Math. 43 (1985), no. 2, 215–223. MR 793530, DOI https://doi.org/10.1090/S0033-569X-1985-0793530-5
D. H. Peregrine, The fascination of fluid mechanics, J. Fluid. Mech. 106, 50–80 (1981)
L. J. Crane, Flow past a stretching plate, Z. Angew. Math. Phys. 21, 645–647 (1970)
K. Hiemenz, Die Grenzschicht an einem in den gleichformigen Flussigkeitsstrom eingetauchten geraden Kreiszylinder, Dingl. Polytech. J. 326, 321 (1911)
L. Howarth, On the calculation of the steady flow in the boundary layer near the surface of a cylinder in a stream, ARC RM 1632 (1935)
J. T. Stuart, The viscous flow near a stagnation point when the external flow has uniform vorticity, J. Aerospace Sci. 26, 124–125 (1959)
K. Tamada, Two-dimensional stagnation-point flow impinging obliquely on a plate wall, J. Phys. Soc. Japan 46, 310–311 (1979)
J. M. Dorrepaal, An exact solution of the Navier-Stokes equation which describes non-orthogonal stagnation-point flow in two dimensions, J. Fluid. Mech. 163, 141–147 (1986)
C. Y. Wang, Stagnation flow on the surface of a quiescent fluid—An exact solution of the Navier-Stokes equation, Quart. Appl. Math. 43, 215–223 (1985)
D. H. Peregrine, The fascination of fluid mechanics, J. Fluid. Mech. 106, 50–80 (1981)
L. J. Crane, Flow past a stretching plate, Z. Angew. Math. Phys. 21, 645–647 (1970)
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Article copyright:
© Copyright 1992
American Mathematical Society
