Historical Development of Classical Fluid Dynamics

Shigeru Masuda

ISBN 10: 3639715128 / ISBN 13: 9783639715125

Published by Scholars' Press, 2014

About this Item

nach der Bestellung gedruckt Neuware - Printed after ordering - We discuss the historical development of classical fluid dynamics consisting with four parts. Part 1 : Exact differential as the criteria of equilibrium/motion and irrotational motion/rotary motion; Part 2 : The two-constant theory and tensor function underlying the Navier-Stokes equations; Part 3 : The Microscopically-descriptive hydrodynamical equations in the gas theory; Part 4 : The early studies of solutions of Navier-Stokes equations. Owing to the arrival of continuum theory, many mathematical developments are brought in today s fluid mechanics, such as the Euler equations, the Navier-Stokes equations, the Stokes equations, the Helmholtz vorticity equations, Boltzmann s transport equations. We introduce the thinking methods and modeling of these equations, including capillarity theories of fluid particles in continuum by Laplace, Gauss and Poisson, with the classical notation and styles, the disputing contents of their themes discussed among progenitors. Microscopically-descriptive expressions are succeeded into Boltzmann s equations, and contribute to the quantum mechanics such as Schrödinger equations. Now, this is hitting by peerers on Tokyo Metro. Univ. Repository.

Seller Inventory # 9783639715125

Bibliographic Details

• Title: Historical Development of Classical Fluid Dynamics
• Publisher: Scholars' Press
• Publication Date: 2014
• Language: English
• ISBN 10: 3639715128
• ISBN 13: 9783639715125
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 21D millimeters 220 millimeters width by 150 millimeters height by 21 millimeters depth
• Weight: 524 grams

About this title

Synopsis

We discuss the historical development of classical fluid dynamics consisting with four parts. Part 1 : Exact differential as the criteria of equilibrium/motion and irrotational motion/rotary motion; Part 2 : The “two-constant” theory and tensor function underlying the Navier-Stokes equations; Part 3 : The Microscopically-descriptive hydrodynamical equations in the gas theory; Part 4 : The early studies of solutions of Navier-Stokes equations. Owing to the arrival of continuum theory, many mathematical developments are brought in today’s fluid mechanics, such as the Euler equations, the Navier-Stokes equations, the Stokes equations, the Helmholtz vorticity equations, Boltzmann’s transport equations. We introduce the thinking methods and modeling of these equations, including capillarity theories of fluid particles in continuum by Laplace, Gauss and Poisson, with the classical notation and styles, the disputing contents of their themes discussed among progenitors. Microscopically-descriptive expressions are succeeded into Boltzmann’s equations, and contribute to the quantum mechanics such as Schrödinger equations. Now, this is hitting by peerers on Tokyo Metro. Univ. Repository.

About the Author

In 1993, Bachelor of Arts from the Faculty of Literature of Keio University.In 2000, Master Degree of Information Technology from The University of Electro-Communications. In 2011, Doctor Degree of Science from Tokyo Metropolitan University. During 2012/4-2014/3, the long-term researcher in RIMS of Kyoto University.