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Uniform asymptotic solutions of the orr–sommerfeld equation
Published online by Cambridge University Press: 26 February 2010
Summary
Reid (1974) derived “first approximations” to solutions of the Orr–Sommerfeld equation, which are uniformly valid in a full neighbourhood of a critical point. This paper shows that such approximations may be calculated to higher order, and makes a first step towards placing the theory on a rigorous basis by providing error bounds for the dominant-recessive approximations. These are obtained by generalizing methods discussed by Olver (1974) for second order linear ordinary differential equations.
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- Research Article
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- Copyright © University College London 1981
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