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The role of periodic solutions in the Falkner-Skan problem for λ>0

✍ Scribed by E. F. F. Botta; F. J. Hut; A. E. P. Veldman

Publisher
Springer
Year
1986
Tongue
English
Weight
538 KB
Volume
20
Category
Article
ISSN
0022-0833

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✦ Synopsis

The Falkner-Skan equation f '" + if" + h(1 -f,2) = 0 is discussed for X > 0. Two types of solutions have been pursued: those satisfying f(0) = f'(0) = 0, f'(oe) = 1 and those being periodic. In both cases, numerical evidence is given for a rich structure of multiple solutions. Branching occurs for X = 1, 2, 3 ..... All solutions can be characterized by means of a special subset of periodic solutions.

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Branching of the Falkner-Skan solutions
Branching of the Falkner-Skan solutions for λ
✍ B. Oskam; A. E. P. Veldman 📂 Article 📅 1982 🏛 Springer 🌐 English ⚖ 499 KB

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 so