Scaling /G I Barenblatt

By: G I BarenblattContributor(s): G I BarenblattMaterial type: TextTextPublisher number: Atlantic Publishers & Distributors (P)LTD. | ;7/22,Anasri Road, Daryaganj,New Delhi-110002Series: Cambridge texts in applied mathematicsPublication details: Cambridge : Cambridge University Press , 2003Description: xiv, 171 pages : illustrations ; 24 cmISBN: 9781316608395Subject(s): PhysicsGenre/Form: Scaling laws (Statistical physics)DDC classification: 530.1595 BAR
Contents:
1. Dimensional analysis and physical similarity -- 2. Self-similarity and intermediate asymptotics -- 3. Scaling laws and self-similar solutions that cannot be obtained by dimensional analysis -- 4. Complete and incomplete similarity: Self-similar solutions of the first and second kind -- 5. Scaling and transformation groups: Renormalization group -- 6. Self-similar phenomena and travelling waves -- 7. Scaling laws and fractals -- 8. Scaling laws for turbulent wall-bounded shear flows at very large Reynolds numbers.
Summary: In this work, the author describes and teaches the art of discovering scaling laws, starting from dimensional analysis and physical similarity.
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1. Dimensional analysis and physical similarity --
2. Self-similarity and intermediate asymptotics --
3. Scaling laws and self-similar solutions that cannot be obtained by dimensional analysis --
4. Complete and incomplete similarity: Self-similar solutions of the first and second kind --
5. Scaling and transformation groups: Renormalization group --
6. Self-similar phenomena and travelling waves --
7. Scaling laws and fractals --
8. Scaling laws for turbulent wall-bounded shear flows at very large Reynolds numbers.

In this work, the author describes and teaches the art of discovering scaling laws, starting from dimensional analysis and physical similarity.

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