Uniform asymptotic approximations to solutions of the OrrSommerfeld equation for the asymptotic suction boundary layer profile
Abstract
It is shown that Reid's (1974) proposed uniform asymptotic approximations to solutions of the OrrSommerfeld equation are valid for the asymptotic suction boundary layer profile. The dominantrecessive 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 Bk (z, p, q) for q = 0 and 1 only. The analysis makes use of the theory of Chester et al. (1957).
 Publication:

Proceedings of the Royal Society of London Series A
 Pub Date:
 June 1985
 DOI:
 10.1098/rspa.1985.0060
 Bibcode:
 1985RSPSA.399..321B
 Keywords:

 Asymptotic Methods;
 Boundary Layer Flow;
 Computational Fluid Dynamics;
 Couette Flow;
 Laminar Flow;
 OrrSommerfeld Equations;
 Airy Function;
 Hypergeometric Functions;
 Integral Equations;
 Polynomials;
 Fluid Mechanics and Heat Transfer