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Original Essays | April 11, 2014

Paul Laudiero: IMG Shit Rough Draft



I was sitting in a British and Irish romantic drama class my last semester in college when the idea for Shit Rough Drafts hit me. I was working... Continue »
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Other titles in the Modeling and Simulation in Science, Engineering and Technology series:

Kinetic Theory and Fluid Dynamics

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Synopses & Reviews

Publisher Comments:

This monograph gives a comprehensive description of the relationship and connections between kinetic theory and fluid dynamics, mainly for a time-independent problem in a general domain. Ambiguities in this relationship are clarified, and the incompleteness of classical fluid dynamics in describing the behavior of a gas in the continuum limit--recently reported as the ghost effect--is also discussed. The approach used in this work engages an audience of theoretical physicists, applied mathematicians, and engineers. By a systematic asymptotic analysis, fluid-dynamic-type equations and their associated boundary conditions that take into account the weak effect of gas rarefaction are derived from the Boltzmann system. Comprehensive information on the Knudsen-layer correction is also obtained. Equations and their boundary conditions are carefully classified depending on the physical context of problems. Applications are presented to various physically interesting phenomena, including flows induced by temperature fields, evaporation and condensation problems, examples of the ghost effect, and bifurcation of flows. Key features: * many applications and physical models of practical interest * experimental works such as the Knudsen compressor are examined to supplement theory * engineers will not be overwhelmed by sophisticated mathematical techniques * mathematicians will benefit from clarity of definitions and precise physical descriptions given in mathematical terms * appendices collect key derivations and formulas, important to the practitioner, but not easily found in the literature Kinetic Theory and Fluid Dynamics serves as a bridge for those working in different communities where kinetic theory or fluid dynamics is important: graduate students, researchers and practitioners in theoretical physics, applied mathematics, and various branches of engineering. The work can be used in graduate-level courses in fluid dynamics, gas dynamics, and kinetic theory; some parts of the text can be used in advanced undergraduate courses.

Table of Contents

Preface Introduction Boltzmann Equation Linear Theory---Small Reynolds Numbers Weakly Nonlinear Theory---Finite Reynolds Numbers Nonlinear Theory I---Finite Temperature Variations and Ghost Effect Nonlinear Theory II---Flow with a Finite Mach Number around a Simple Boundary Nonlinear Theory III---Finite Speed of Evaporation and Condensation Bifurcation of Cylindrical Couette Flow with Evaporation and Condensation Appendix A: Supplementary Explanations and Formulas Appendix B: Spherically Symmetric Field of Symmetric Tensor Appendix C: Kinetic-Equation Approach to Fluid-Dynamic Equations Bibliography Index

Product Details

ISBN:
9780817642846
Author:
Sone, Yoshio
Publisher:
Birkhauser
Author:
Sone, Y.
Subject:
General
Subject:
Mechanics
Subject:
Differential Equations
Subject:
Mathematical Physics
Subject:
Fluid dynamics
Subject:
Statistical mechanics
Subject:
Kinetic theory of gases
Subject:
Mechanics - General
Subject:
math physics
Subject:
math. methods in engineering
Subject:
Mechanics - Dynamics - Fluid Dynamics
Subject:
Boltzmann equation
Subject:
Kinetic Theory
Subject:
molecular gas dynamics
Subject:
Rarefied gas dynamics.
Subject:
Classical Continuum Physics
Subject:
PARTIAL DIFFERENTIAL EQUATIONS
Subject:
Computational Mathematics and Numerical Analysis
Subject:
Engineering Fluid Dynamics
Subject:
Physics-Fluid Mechanics
Copyright:
Edition Number:
1
Edition Description:
Book
Series:
Modeling and Simulation in Science, Engineering and Technology
Publication Date:
20020812
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
364
Dimensions:
235 x 155 mm 1530 gr

Related Subjects

Engineering » Mechanical Engineering » General
History and Social Science » Politics » General
Reference » Science Reference » Technology
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics
Science and Mathematics » Physics » Classical Mechanics
Science and Mathematics » Physics » Fluid Mechanics
Science and Mathematics » Physics » General
Science and Mathematics » Physics » Math

Kinetic Theory and Fluid Dynamics New Hardcover
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