Laminar boundary layer flow over a cone with suction or injection
Author:
Takashi Watanabe
Journal:
Quart. Appl. Math. 46 (1988), 145-156
MSC:
Primary 76D10
DOI:
https://doi.org/10.1090/qam/934688
MathSciNet review:
934688
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Abstract: The effect of uniform suction or injection on the flow of an incompressible laminar boundary layer over a cone was theoretically investigated. The boundary layer equations along a cone are transformed into nonsimilar ones, and the numerical calculations of the resulting equations are performed by the difference-differential method for various values of the suction/injection parameter. The neutral stability curves are then presented for values of the cone angle and the suction/injection parameter. The results are given for the velocity profiles, coefficient of skin friction, displacement thickness, and the critical Reynolds numbers.
C. L. Tien and I. J. Tsuji, A theoretical analysis of laminar forced flow and heat transfer about a rotating cone, Trans. ASME, J. Heat Transfer 87, 184–190 (1965)
J. C. Y. Koh and J. F. Price, Nonsimilar boundary-layer heat transfer of a rotating cone in forced flow, Trans. ASME, J. Heat Transfer 89, 139–145 (1967)
F. Salzberg and S. P. Kezios, Mass transfer from a rotating cone in axisymmetric flow, Trans. ASME, J. Heat Transfer 87, 469–476 (1965)
Y. Furuya and I. Nakamura, Velocity profiles in the skewed boundary layers on some rotating bodies in axial flow, J. Appl. Mech. 37, 17–24 (1970)
- L. G. Whitehead and G. S. Canetti, The laminar boundary layer on solids of revolution, Philos. Mag. (7) 41 (1950), 988–1000. MR 38188
H. Hassler, Experimentelle Untersuchungen von Langswirbeln im vorderen Staupunktgebiet eines Kreiskegels in axialsymmetrischer Anstromung, Deutsche Luft- und Raumfahrt Forschungsbericht 76, 1–49 (1976)
R. Kobayashi, Instability and transition of boundary layer on a rotating cone, Trans. JSME (in Japanese) 46-B, 1900–1906 (1980)
J. L. Hess and S. Faulkner, Accurate values of the exponent governing potential flow about semi-infinite cones, AIAA J. 3, 767 (1965)
C. C. Lin, On the stability of two-dimensional parallel flow, Quart. Appl. Math. 3, 117–142, 218–234, 277–301 (1945/1946)
C. L. Tien and I. J. Tsuji, A theoretical analysis of laminar forced flow and heat transfer about a rotating cone, Trans. ASME, J. Heat Transfer 87, 184–190 (1965)
J. C. Y. Koh and J. F. Price, Nonsimilar boundary-layer heat transfer of a rotating cone in forced flow, Trans. ASME, J. Heat Transfer 89, 139–145 (1967)
F. Salzberg and S. P. Kezios, Mass transfer from a rotating cone in axisymmetric flow, Trans. ASME, J. Heat Transfer 87, 469–476 (1965)
Y. Furuya and I. Nakamura, Velocity profiles in the skewed boundary layers on some rotating bodies in axial flow, J. Appl. Mech. 37, 17–24 (1970)
L. G. Whitehead and G. S. Canetti, The laminar boundary layer on solids of revolution, Phil. Mag. 7, 988–1000 (1950)
H. Hassler, Experimentelle Untersuchungen von Langswirbeln im vorderen Staupunktgebiet eines Kreiskegels in axialsymmetrischer Anstromung, Deutsche Luft- und Raumfahrt Forschungsbericht 76, 1–49 (1976)
R. Kobayashi, Instability and transition of boundary layer on a rotating cone, Trans. JSME (in Japanese) 46-B, 1900–1906 (1980)
J. L. Hess and S. Faulkner, Accurate values of the exponent governing potential flow about semi-infinite cones, AIAA J. 3, 767 (1965)
C. C. Lin, On the stability of two-dimensional parallel flow, Quart. Appl. Math. 3, 117–142, 218–234, 277–301 (1945/1946)
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Article copyright:
© Copyright 1988
American Mathematical Society
