Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



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
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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.

References [Enhancements On Off] (What's this?)

  • [1] 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)
  • [2] 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)
  • [3] F. Salzberg and S. P. Kezios, Mass transfer from a rotating cone in axisymmetric flow, Trans. ASME, J. Heat Transfer 87, 469-476 (1965)
  • [4] 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)
  • [5] L. G. Whitehead and G. S. Canetti, The laminar boundary layer on solids of revolution, Philos. Mag. (7) 41 (1950), 988–1000. MR 0038188
  • [6] H. Hassler, Experimentelle Untersuchungen von Langswirbeln im vorderen Staupunktgebiet eines Kreiskegels in axialsymmetrischer Anstromung, Deutsche Luft- und Raumfahrt Forschungsbericht 76, 1-49 (1976)
  • [7] R. Kobayashi, Instability and transition of boundary layer on a rotating cone, Trans. JSME (in Japanese) 46-B, 1900-1906 (1980)
  • [8] J. L. Hess and S. Faulkner, Accurate values of the exponent governing potential flow about semi-infinite cones, AIAA J. 3, 767 (1965)
  • [9] C. C. Lin, On the stability of two-dimensional parallel flow, Quart. Appl. Math. 3, 117-142, 218-234, 277-301 (1945/1946)

Similar Articles

Retrieve articles in Quarterly of Applied Mathematics with MSC: 76D10

Retrieve articles in all journals with MSC: 76D10

Additional Information

DOI: https://doi.org/10.1090/qam/934688
Article copyright: © Copyright 1988 American Mathematical Society

American Mathematical Society