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Impulsive motion of a semi-infinite flat plate in a viscous fluid

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Abstract

The unsteady laminar boundary layer flow is investigated for a semi-infinite flat plate subjected to impulsive motion. An approximate solution is obtained by utilizing Meksyn's method. These results vary smoothly from Rayleigh's unsteady solution to the steady state solution of Blasius. Results are compared to those of Lam and Crocco.

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Abbreviations

A :

expansion coefficient, see eq. (13)

a :

expansion coefficient, see eq. (10)

B :

expansion coefficient, see eq. (14)

b :

expansion coefficient, see eq. (12)

G :

function defined by eq. (6)

U :

free stream velocity

u :

velocity in x direction

v :

velocity in y direction

x :

coordinate along plate

y :

coordinate normal to plate

Γ(l, γ):

incomplete gamma function

γ :

function defined by eq. (15)

η :

y(U/νx) 1/2

ν :

kinematic viscosity

ξ :

x/Ut

ψ :

(Uνvx)1/2 f(ξ, η)

References

  1. Stewartson, K, Q. J. Mech. and Appl. Math. 4 (1951) 182.

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  2. Schuh, H., Zeitschrift für Flugwissenschaften 1 (1953) 122.

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  3. Cheng, S. I., Q. Appl. Math. 16 (1957) 337.

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  4. Cheng, S. I. and D. Elliott, Trans. A.S.M.E. 79 (1957) 725.

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  5. Lam, H. and L. Crocco, J. Aerospace Sci. 26 (1959) 54.

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  6. Hall, M. G., Proc. Roy. Soc. A310 (1969) 401.

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  7. Meksyn, D., New Methods in Laminar Boundary Layer Theory, Pergamon Press, 1961.

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Authors and Affiliations

  1. Faculty of Engineering and Applied Sciences, State University of New York at Buffalo, USA

    L. A. Kennedy

Authors
  1. L. A. Kennedy
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Kennedy, L.A. Impulsive motion of a semi-infinite flat plate in a viscous fluid. Appl. Sci. Res. 27, 366–374 (1973). https://doi.org/10.1007/BF00382499

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  • DOI: https://doi.org/10.1007/BF00382499

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