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Branching of the Falkner-Skan solutions for λ

✍ Scribed by B. Oskam; A. E. P. Veldman

Publisher
Springer
Year
1982
Tongue
English
Weight
499 KB
Volume
16
Category
Article
ISSN
0022-0833

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✦ Synopsis

The Falkner-Skan equation f'" + ff" + h(1 _f,2) = 0,f(0) =if(0) = 0, is discussed for h < 0. Two types of problems, one with f'(**) = 1 and another with f'(**) = --1, are considered. For h = 0-a close relation between these two types is found. For h < --1 both types of problem allow multiple solutions which may be distinguished by an integer N denoting the number of zeros of f ' --1. The numerical results indicate that the solution branches with f'(*~) = 1 and those with f'(**) = --1 tend towards a common limit curve as N increases indefinitely. Finally a periodic solution, existing for ~. < --1, is presented.

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