Rarefied gas dynamics : fundamentals for research and practice / Felix Sharipov.

Format:

Book

Author/Creator:

Sharipov, Felix, author.

Language:

German

Subjects (All):

Rarefied gas dynamics.

Physical Description:

1 online resource (345 p.) : ill.

Edition:

1st ed.

Place of Publication:

Weinheim an der Bergstrasse, Germany : Wiley-VCH, 2016.

Summary:

Aimed at both researchers and professionals who deal with this topic in their routine work, this introduction provides a coherent and rigorous access to the field including relevant methods for practical applications. No preceding knowledge of gas dynamics is assumed.

Contents:

Intro

Related Titles

Title Page

Copyright

Table of Contents

Preface

List of Symbols

List of Acronyms

Chapter 1: Molecular Description

1.1 Mechanics of Continuous Media and Its Restriction

1.2 Macroscopic State Variables

1.3 Dilute Gas

1.4 Intermolecular Potential

1.5 Deflection Angle

1.6 Differential Cross Section

1.7 Total Cross Section

1.8 Equivalent Free Path

1.9 Rarefaction Parameter and Knudsen Number

Exercises

Chapter 2: Velocity Distribution Function

2.1 Definition of Distribution Function

2.2 Moments of Distribution Function

2.3 Entropy and Its Flow Vector

2.4 Global Maxwellian

2.5 Local Maxwellian

Chapter 3: Boltzmann Equation

3.1 Assumptions to Derive the Boltzmann Equation

3.2 General Form of the Boltzmann Equation

3.3 Conservation Laws

3.4 Entropy Production due to Intermolecular Collisions

3.5 Intermolecular Collisions Frequency

Chapter 4: Gas-Surface Interaction

4.1 General form of Boundary Condition for Impermeable Surface

4.2 Diffuse-Specular Kernel

4.3 Cercignani-Lampis Kernel

4.4 Accommodation Coefficients

4.5 General form of Boundary Condition for Permeable Surface

4.6 Entropy Production due to Gas-Surface Interaction

Chapter 5: Linear Theory

5.1 Small Perturbation of Equilibrium

5.2 Linearization Near Global Maxwellian

5.3 Linearization Near Local Maxwellian

5.4 Properties of the Linearized Collision Operator

5.5 Linearization of Boundary Condition

5.6 Series Expansion

5.7 Reciprocal Relations

Chapter 6: Transport Coefficients

6.1 Constitutive Equations

6.2 Viscosity

6.3 Thermal Conductivity

6.4 Numerical Results

Chapter 7: Model Equations

7.1 BGK Equation

7.2 S-Model

7.3 Ellipsoidal Model.

7.4 Dimensionless Form of Model Equations

Chapter 8: Direct Simulation Monte Carlo Method

8.1 Main Ideas

8.2 Generation of Specific Distribution Function

8.3 Simulation of Gas-Surface Interaction

8.4 Intermolecular Interaction

8.5 Calculation of Post-Collision Velocities

8.6 Calculation of Macroscopic Quantities

8.7 Statistical Scatter

Chapter 9: Discrete Velocity Method

9.1 Main Ideas

9.2 Velocity Discretization

9.3 Iterative Procedure

9.4 Finite Difference Schemes

Chapter 10: Velocity Slip and Temperature Jump Phenomena

10.1 General Remarks

10.2 Viscous Velocity Slip

10.3 Thermal Velocity Slip

10.4 Reciprocal Relation

10.5 Temperature Jump

Chapter 11: One-Dimensional Planar Flows

11.1 Planar Couette Flow

11.2 Planar Heat Transfer

11.3 Planar Poiseuille and Thermal Creep Flows

Chapter 12: One-Dimensional Axisymmetrical Flows

12.1 Cylindrical Couette Flow

12.2 Heat Transfer between Two Cylinders

12.3 Cylindrical Poiseuille and Thermal Creep Flows

Chapter 13: Two-Dimensional Planar Flows

13.1 Flows Through a Long Rectangular Channel

13.2 Flows Through Slits and Short Channels

13.3 End Correction for Channel

Chapter 14: Two-Dimensional Axisymmetrical Flows

14.1 Flows Through Orifices and Short Tubes

14.2 End Correction for Tube

14.3 Transient Flow Through a Tube

Chapter 15: Flows Through Long Pipes Under Arbitrary Pressure and Temperature Drops

15.1 Stationary Flows

15.2 Pipes with Variable Cross Section

15.3 Transient Flows

Chapter 16: Acoustics in Rarefied Gases

16.1 General Remarks

16.2 Oscillatory Couette Flow

16.3 Longitudinal Waves

Appendix A: Constants and Mathematical Expressions.

A.1 Physical Constants

A.2 Vectors and Tensors

A.3 Nabla Operator

A.4 Kronecker Delta and Dirac Delta Function

A.5 Some Integrals

A.6 Taylor Series

A.7 Some Functions

A.8 Gauss-Ostrogradsky's Theorem

A.9 Complex Numbers

Appendix B: Files and Listings

B.1 Files with Nodes and Weights of Gauss Quadrature

B.2 Files for Planar Couette Flow

B.3 Files for Planar Heat Transfer

B.4 Files for Planar Poiseuille and Creep Flows

B.5 Files for Cylindrical Couette Flows

B.6 Files for Cylindrical Heat Transfer

B.7 Files for Axi-Symmetric Poiseuille and Creep Flows

B.8 Files for Poiseuille and Creep Flows Through Channel

B.9 Files for Oscillating Couette Flow

References

Index

End User License Agreement.

Notes:

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (ebrary, viewed December 16, 2015).

ISBN:

3-527-68553-7

3-527-68552-9

3-527-68507-3

OCLC:

930083026