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Gaskinetic Theory : Cambridge Atmospheric & Space Science - Tamas I. Gombosi

Gaskinetic Theory

Cambridge Atmospheric & Space Science

Paperback Published: 29th August 1994
ISBN: 9780521439664
Number Of Pages: 312

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Gaskinetic Theory is an introductory text on the molecular theory of gases and on modern transport theory suitable for upper division undergraduates in physics and first year graduate students in aerospace engineering, upper atmospheric science and space research. The first part introduces basic concepts, including the distribution function, classical theory of specific heats, binary collisions, mean free path, and reaction rates. Transport theory is used to express coefficients such as viscosity and heat conductivity in terms of molecular properties. The second part of the book covers advanced transport theory. Generalized transport equations are derived from the Boltzmann equation. The Chapman-Enskog and the Grad methods are discussed to obtain higher order transport equations for low density gases. The aerodynamics of solid bodies is explored and the book concludes with the kinetic description of shock waves.

"This is a well-organized, clearly-written, upper-division undergraduate or beginning graduate level textbook. The material content, its organization, its concise but instructive mathematical developments, the care and attention given to physical principles, and its explicit guidance to other well-selected sources for supplemental information indicate that the book will also serve as a convenient research reference work...[T]he subject material content is remarkably comprehensive...I recommend Gaskinetic Theory both for individual acquisition and for academic and institutional library purchase." A.C. Buckingham, Applied Mechanics Review

Dedication
Preface
Introduction
Brief history of gaskinetic theory
The road to gaskinetic theory in science and engineering
Basic assumptions of gaskinetic theory
Notations
Solid angles and curvilinear coordinates
Problems
References
Equilibrium kinetic theory
Distribution functions
Phase-space distributions and macroscopic averages
The Maxwell-Boltzmann distribution
Determination of the Lagrange Multiplier
Elementary properties of the Maxwell-Boltzmann distribution
Specific heats of gases
Problems
References
Binary collisions
Kinematics of two particle collisions
Statistical description of collisional effects
Relations between statistical and molecular quantities
Problems
References
Elementary transport theory
Molecular effusion
Hydrodynamic transport coefficients
Mean free path method
Flow in a tube
Problems
References
The Boltzmann equation
Derivation of the Boltzmann equation
The H-theorem and equilibrium distributions
Approximate collision terms
Non-equilibrium solutions of the Boltzmann equation
Problems
References
Generalized transport equations
Moments of the Boltzmann equation
The Euler equations
The 20 moment equations
The 13 moment approximation and the Navier-Stokes equations
Collision terms for multispecies gases
Simplified sets of transport equations
Problems
References
Free molecular aerodynamics
Transfer of mass, momentum, and translational energy
Free molecular heat transfer
Free molecular aerodynamic forces
Problems
References
Shock waves
Hydrodynamic description
Kinetic description of shocks: the Mott-Smith model
Problems
References
Appendices
Physical constants
Vector and tensor identities
Differential operators in spherical and cylindrical coordinates
Some fundamental integrals
Some special functions
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521439664
ISBN-10: 0521439663
Series: Cambridge Atmospheric & Space Science
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 312
Published: 29th August 1994
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 24.59 x 17.2  x 1.63
Weight (kg): 0.55

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