Data on Internal Rarefied Gas Flows

By Sharipova, Felix

Book Id: WPLBN0000659915
Format Type: PDF eBook:
File Size: 4.98 MB
Reproduction Date: 2005

Title:	Data on Internal Rarefied Gas Flows
Author:	Sharipova, Felix
Volume:
Language:	English
Subject:	Technology., Reference materials, Technology and literature
Collections:	Techonology eBook Collection
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Citation APA MLA Chicago Sharipova, B. F. (n.d.). Data on Internal Rarefied Gas Flows. Retrieved from http://self.gutenberg.org/

Description
Technical Reference Publication

Excerpt
Introduction: Rarefied gas dynamics (RGD) is an active and fast developing scientific field. A biennial symposium attracts a large number of scientists and engineers working in this field. Recently, someone describing latest achievements in the RGD were published. The starting point of the rarefied gas theory is the kinetic Boltzmann equation. Another very important aspect of the theory is the gas-surface interaction, which serves as a boundary condition for the kinetic equation. The monographs mentioned above describe the main properties of the kinetic equation, the properties of its boundary condition, and the principal methods of solution of the Boltzmann equation. So, they provide general information about the rarefied gas theory.

Table of Contents
Contents 1. Introduction.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.1. Scope of the Review. . . . . . . . . . . . . . . . . . . . . 1.2. Gencral Statement of the Problem. . . . . . . . . . 1.3. Main Assumptions. . . . . . . . . . . . . . . . . . . . . . 1.4. Types of Capillaries. . . . . . . . . . . . . . . . . . . . . 1 5. Mass Flow Rate and Heat Flux. 1.5.1. Channel. . . . . . . . . . . . . . . . . . . . . . . . . . 1 S.2. Tube. . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.6. Main Variables. . . . . . . . . . . . . . . . . . . . . . . . . 2. Basic Conceptions of Rarefied Gas Dynamics.. . . 2.1. Knudsen Number and Rarefaction Parameter. 2.2. Boltzmann Equation. . . . . . . . . . . . . . . . . . . . . 2.3. Gas-Surtace lnteract~on.. . . . . . . . . . . . . . . . . 2.4. Analytical Solutions of the Boltzmann Equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.3.1. hlu~ncntM cthod. . . . . . . . . . . . . . . . . . . 3.1.2. Chapman-Enskog Method.. . . . . . . . . . 2.5. Model Kinetic Equations. . . . . . . . . . . . . . . . . 2 5 1 RGK Erl~~ntinn 2.5.2. S Model. . . . . . . . . . . . . . . . . . . . . . . . . . Electronic mail: chnripovfg fihtca.ufpr.br h'~lecrronn~~i..i il: srlszni.! B'lmi rcup~.c-burg.su 2.5.3. Ellipsoidal Model. . . . . . . . . . . . . . . . . . 660 2.5.4. Applicability of the Model Equations.. 660 2.6. Linearized Boltzmann Equation. . . . . . . . . . . . 66 1 2.6.1. Linearization Ncar thc Absolute 662 Maxwellian. . . . . . . . . . . . . . . . . . . . . . . . 662 2.6.2. Linearization Near the Local 663 Maxwellian . . . . . . . . . . . . . . . . . . . . . 663 2.7. Linearized Model Equations. . . . . . . . . . . . . 663 2.8. Linearized Boundary Conditions. . . . . . . . . . 663 2.9. Accommodation Coefficients. . . . . . . . . . . . . 663 2.10. Onsager's Reciprocity Relations. . . . . . . . . . 663 2.1 1. Methods of Computation in the 664 Free-Molecular Regime. . . . . . . . . . . . . . . . . 665 2.11.1. Clausing's Equation. . . . . . . . . . . . . 2.1 1.2. Test Particle Monte Carlo Method. 665 2.12. Methods of Computation in the Transition 666 Kegime . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 666 2.12.1. Discrete Velocity Method. . . . . . . . . . . 667 2.12.2. Variational Method. . . . . . . . . . . . . . . . 667 2.12.3. Illtcgiu-Muiiiei~l Mrthud. . . . . . . . . . . . 668 2.12.4. Solution of Integral Equations. . . . . . . 2.12.5. Method of Elementary Solutions. . . . . 2.12.6. Direct Simulation Monte Corlo Method. . . . . . . . . . . . . . . . . . . . . . . . . 01998 h) ths C.S. Secretar) of Commerce on behalf of the United Stares. 2.13. Gaseous Mixtures. . . . . . . . . . . . . . . . . . . . . .All right\ re\e:\ed. Thi, crlpyright 1.; ass~ensd to the Amencan Iflstltute of Pll)\tc\ . i i ~ c lt ilt AIIJCIICCIIhIc t~ii~SalV CICI). 3. Gas Flow Through Long Capillaries Kepr~nr, ;i\ailuhlr. irom -\CS: ,re Repr~?t\ Ll\t at hack of ~swr 3.1. Remarks.. . . . . . . . . . . . . . . . . . . . . . . . . . .