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

Young-Ping Pao

9780331833331: An Uniformly Valid Asymptotic Theory of Rarified Gas Flows Under the Nearly Free-Molecule Conditions (Classic Reprint)

Hardcover

ISBN 10: 0331833336 ISBN 13: 9780331833331

Publisher: Forgotten Books, 2017

View all copies of this ISBN edition

0 Used

2 New

From US$ 40.25

Explore a practical approach to rarefied-gas theory with a clear, math-driven model and real-world applications.

This book examines how a rotating circular cylinder behaves in an infinite, at-rest gas using the BGKW (Bhatnagar–Gross–Krook–Welander) model equation. It uses an asymptotic framework to separate inner and outer flow regions and to derive uniformly valid solutions that illuminate collision effects and boundary behavior.

The text focuses on forming and solving the BGKW equation for a simple, two-dimensional cylinder problem, then building toward a rigorous outline of the mathematical foundation. Readers will see how the theory connects microscopic distribution functions to macroscopic quantities like aerodynamic drag, and how approximate solutions are matched across regions to ensure consistency.

Learn how the BGKW model describes collisions and how it preserves mass, momentum, and energy.
See the step-by-step setup for a rotating cylinder in a gas and how inner and outer solutions are constructed.
Understand how drag and other aerodynamic quantities are derived from the distribution function.
Get a sense of the mathematical principles behind asymptotic validity, including a roadmap for proving existence and uniqueness in this context.

Ideal for readers of applied kinetic theory, gas dynamics, and mathematical modeling who want a concrete, worked example of asymptotic analysis in a simplified setting.

"synopsis" may belong to another edition of this title.