Summary
The problem of determining the development of the nonsimilar viscous compressible boundary layer flow with time over a rotating sphere is considered when both free stream velocity and rotation vary arbitrarily with time. Variations of skin friction, heat transfer and displacement thickness with mass injection, rotation, wall enthalpy and time are discussed.
Similar content being viewed by others
References
Sears, W. R., Telionis, D. P.: Boundary layer separation in unsteady flow. SIAM J. Appl. Math.28, 215–235 (1975).
Bouard, R., Coutenceau, M.: The early stages of development of the wake behind an impulsively started cylinder for 40<Re<104. J. Fluid. Mech.101, 583–608 (1980).
Van Dommelen, L. L., Shen, S. F.: The spontaneous generation of the singularity in a separating laminar boundary layer. J. Comp. Phys.38, 125–140 (1981)
Ingham, D. B.: Unsteady separation. J. Comp. Phys.53, 90–99 (1984).
Cowley, S. J.: Computer extension and analytic continuation of Blasius expansion for impulsive flow past a circular cylinder. J. Fluid Mech.135, 389–405 (1983).
Riley, N., Vasantha, R.: Unsteady high Reynolds number flows. J. Fluid Mech.205, 243–262 (1989).
Hoskin, N. E.: The laminar boundary layer on a rotating sphere. In: 50 Jahre Grenzschichtforschung (Görtler, H., Tollmien, W., eds.), pp. 127–131 Braunschweig: Vieweg 1955.
Siekmann, J.: The calculation of the thermal laminar boundary layer on rotating sphere. Z. Angew. Math. Phys.13, 468–482 (1962).
Lee, M. H., Jeng, D. R., De Witt, K. J.: Laminar boundary layer transfer over rotating bodies in forced flow. Trans. ASME J. Heat Transfer100, 496–502 (1978).
Kumari, M., Nath, G.: Nonsimilar laminar incompressible boundary layer flow over a rotating sphere. Arch. Mech.34, 147–164 (1982).
Vasantha, R., Nath, G.: Unsteady nonsimilar compressible laminar two-dimensional and axisymmetric boundary layer flows. Acta Mech.57, 215–231 (1985).
Schlichting, H.: Boundary layer theory. New York: McGraw-Hill 1979.
Carrier, C. F., Pearson, C. E.: Partial differential equations theory and technique, p. 136. New York: Academic Press 1976.
Inouye, K., Tate, A.: Finite difference version of quasilinearization applied on boundary layer equations. AIAA J.12, 556–560 (1974).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sau, A. Unsteady nonsimilar compressible boundary layer flow over a rotating sphere. Acta Mechanica 106, 207–213 (1994). https://doi.org/10.1007/BF01213562
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01213562