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The Quarterly Journal of Mechanics and Applied Mathematics 1981 34(3):383-396; doi:10.1093/qjmam/34.3.383
© 1981 by Oxford University Press
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DEVELOPMENT AND SEPARATION OF A LAMINAR BOUNDARY LAYER WITH AN EXPONENTIALLY INCREASING PRESSURE GRADIENT

N. CURLE

( Department of Applied Mathematics, University of St. Andrews )

We study the development of a laminar boundary layer when the external velocity is

u1=u0(1–{varepsilon}e{varepsilon}), {xi}=x/c, 0<{varepsilon}«1.

For small {xi} the solution is a perturbation of the Blasius solution, but when {xi} is of order log({varepsilon}–1) the boundary layer sub-divides into an inner and outer region, for which asymptotic expansions are derived and matched.

It is shown how to calculate both the skin friction and the displacement thickness accurately. For small {varepsilon}, separation occurs at a large value of {xi} given by


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