Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-19T11:56:18.097Z Has data issue: false hasContentIssue false
  • English
  • Français

Free convection laminar boundary layers in oscillatory flow

Published online by Cambridge University Press:  28 March 2006

R. S. Nanda  and
V. P. Sharma
R. S. Nanda
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kharagpur, India
V. P. Sharma
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kharagpur, India
Get access Rights & Permissions [Opens in a new window]

Abstract

The effect of harmonic oscillations in the magnitude of the surface temperature on the free-convection laminar velocity and temperature boundary layers on a flat plate is analysed. Low-and high-frequency solutions are developed separately. The results obtained are in striking contrast to the corresponding results for forced-convection flows.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 15 , Issue 3 , March 1963 , pp. 419 - 428
Copyright
© 1963 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Carrier, G. F. & DiPrima, R. C. 1957 On the unsteady motion of a viscous fluid past a semi-infinite flat plate. J. Math. Phys. 35, 359–383.Google Scholar
Glauert, M. B. 1956 The laminar boundary layer on oscillating plates and cylinders. J. Fluid Mech. 1, 97.Google Scholar
Hill, P. G. 1958 Laminar boundary layers in oscillatory flow. Gas Turbine Lab. Rep.. no. 45.Google Scholar
Howarth, L. 1938 On the solution of the laminar boundary layer equations. Proc. Roy. Soc. A, 164, 547.Google Scholar
Lighthill, M. J. 1954 The response of laminar skin friction and heat transfer to fluctuations in the stream velocity. Proc. Roy. Soc. A, 224, 1.Google Scholar
Nickerson, R. J. 1958 The effect of free stream oscillations on the laminar boundary layers on a flat plate. W ADC Tech. Rep. no. 57-481.Google Scholar
Rosenzweig, M. L. 1959 Response of laminar boundary layer to impulsive motions. Cornell Univ. Rep. no. TN-59-92.Google Scholar
Rott, N. & Rosenzweig, M. L. 1960 On the response of the laminar boundary layer to small fluctuations of the free-stream velocity. J. Aerospace Sci. 27, 741–7.Google Scholar
Squire, H. B. 1953 Modern developments in fluid dynamics. High speed flow, vol. II, p. 809. Oxford University Press.
Stuart, J. T. 1955 A solution of Navier-Stokes and energy equations illustrating the response of skin friction and temperature of an infinite plate thermometer to fluctuations in the stream velocity. Proc. Roy. Soc. A, 231, 116.CrossRefGoogle Scholar
Watson, J. 1959 The two-dimensional laminar flow near the stagnation point of a cylinder which has an arbitrary transverse motion. Quart. J. Mech. Appl. Math., 12, 175–190.Google Scholar