An Uniformly Valid Asymptotic Theory of Rarified Gas Flows Under the Nearly Free-Molecule Conditions (Classic Reprint) - Couverture souple

Young-Ping Pao

9781332208142: An Uniformly Valid Asymptotic Theory of Rarified Gas Flows Under the Nearly Free-Molecule Conditions (Classic Reprint)

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ISBN 10 : 1332208142 ISBN 13 : 9781332208142

Editeur : Forgotten Books, 2018

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�diteur: Forgotten Books
Date d'�dition: 2018
Langue: anglais
ISBN 10: 1332208142
ISBN 13: 9781332208142
Reliure: Broch�
Nombre de pages: 143
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An Uniformly Valid Asymptotic Theory of Rarified Gas Flows Under the Nearly

Young-Ping Pao

Edit� par Forgotten Books, 2024

ISBN 10 : 1332208142 ISBN 13 : 9781332208142

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Vendeur : Forgotten Books, London, Royaume-Uni

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Paperback. Etat : New. Print on Demand. This book presents a detailed asymptotic theory for obtaining nearly free molecule solutions to the linearized Boltzmann equation. Nearly free molecule solutions are useful for describing the flow field of a rarefied gas of infinite extent past an immersed body at large Knudsen number, where the characteristic dimension is much larger than the mean free path of the gas. For a uniform flow past an immersed body, the flow field can be divided into an inner region and an outer region. The inner solution is asymptotically matched with the free molecule solution, while the outer solution is asymptotically matched with the inner solution. The inner and outer solutions are obtained by using a new integral formulation of the linearized Boltzmann equation. The theory is applied to the simple problem of a circular cylinder rotating in a rarefied gas, which is at rest at infinity. For this problem, the existence and uniqueness of the solution, as well as the Asymptoticity Theorem, can be proved. The results show that the inner and outer solutions obtained by the theory are indeed uniformly valid asymptotic solutions to the problem. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N� de r�f. du vendeur 9781332208142_0

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