The unsteady boundary layer on a cylinder due to small transverse oscillations

Wilson, D. E.

doi:10.1090/qam/917013

Author: D. E. Wilson
Journal: Quart. Appl. Math. 45 (1987), 601-626
MSC: Primary 76D10
DOI: https://doi.org/10.1090/qam/917013
MathSciNet review: 917013
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Abstract: This paper deals with the response of an incompressible laminar boundary layer on a circular cylinder due to small periodic velocity fluctuations. These fluctuations may arise from the motion of the cylinder or be contained within the free stream. A perturbation solution employing the method of matched asymptotic expansions is given for the case of high reduced frequencies. These results are compared to a numerical solution valid for any frequency. In addition, the solution is compared to the classical result of Glauert [7] valid only at the stagnation point.

R. C. Ackerberg and J. H. Phillips, The unsteady laminar boundary layer on a semi-infinite flat plate due to small fluctuations in the magnitude of the free-stream velocity, J. Fluid Mech. 51 (1972), 137–157. MR 319455, DOI https://doi.org/10.1017/S0022112072001119

Bearman, P. W., Vortex shedding from oscillating bluff bodies, Amer. Rev. Fluid Mech. 16, 195–222 (1984)

Cebeci, T. and Bradshaw. P., Momentum transfer in boundary layers, Hemisphere Pub. Corp., McGraw Hill, 1977

Dwyer, H. A. and McCroskey, W. J., Oscillating flow over a cylinder at large Reynolds number, J. Fluid Mech. 61, 753–767 (1973)

Gersten, Klaus, Higher-order boundary layer theory, Fluid Dyn. Trans. 7, 7–36 (1975)

Ghoshal, S. and Ghoshal, A., Thermal boundary layer theory near the stagnation point in three-dimensional fluctuating flow, J. Fluid Mech. 43, 465–476 (1970)

M. B. Glauert, The laminar boundary layer on oscillating plates and cylinders, J. Fluid Mech. 1 (1956), 97–110. MR 81110, DOI https://doi.org/10.1017/S002211205600007X

Ishigaki, H., Periodic boundary layer near a two dimensional stagnation point, J. Fluid Mech. 43, 477–486 (1970)

M. J. Lighthill, The response of laminar skin friction and heat transfer to fluctuations in the stream velocity, Proc. Roy. Soc. London Ser. A 224 (1954), 1–23. MR 61963, DOI https://doi.org/10.1098/rspa.1954.0137

Lin, C. C., Motion in the boundary layer with a rapidly oscillating external flow, Proc. 9th Int. Congress Applied Mechanics 4, 155–169 (1956)

McCroskey, W. J., Some current research in unsteady fluid dynamics, ASEE J. Fluids Engr. 99, 8–33 (1977)

Riley, N., Unsteady laminar boundary layers, SIAM Review 17, 274–297 (1975)

Nicholas Rott, Unsteady viscous flow in the vicinity of a stagnation point, Quart. Appl. Math. 13 (1956), 444–451. MR 74194, DOI https://doi.org/10.1090/S0033-569X-1956-74194-2
J. T. Stuart, Double boundary layers in oscillatory viscous flow, J. Fluid Mech. 24 (1966), 673–687. MR 198781, DOI https://doi.org/10.1017/S0022112066000910

Van Dyke, M., Higher approximations in boundary layer theory, Annual Review of Fluid Mech. 1, 265–292 (1969)