Abstract
It is shown that Reid’s (
Stud. appl. Math
. 53, 217-224 (1974)) proposed uniform asymptotic approximations to solutions of the Orr-Sommerfeld equation are valid for the asymptotic suction boundary layer profile. The dominant-recessive solutions are found to be free of logarithmic terms at all orders of approximation, and the partly balanced solutions to involve the generalized Airy functions B
k
(
z
,
p
,
q
) for
q
═ 0 and 1 only. The analysis makes use of the theory of Chester, Friedman and Ursell (
Proc. Camb. phil. Soc
. 53, 599-611 (1957)).
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2 articles.
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1. Errata;Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences;1988-10-08
2. Zeros of generalized Airy functions;Mathematika;1985-06