Poiseuille flow and thermal creep in a capillary tube on the basis of the kinetic R-model

Fluid Dynamics

Volumn 47, Issue 5, 2012, Pages 661-672

  Titarev, V A ^a   Shakhov, E M ^a  

^a NONE

Author keywords

kinetic equation; nitrogen; Poiseuille flow; R model; rarefied gases; S model; thermal creep

Indexed keywords

KINETIC EQUATIONS; POISEUILLE FLOW; R-MODEL; RAREFIED GAS; S-MODEL; THERMAL CREEP;

CAPILLARY TUBES; CREEP; GASES; INTEGRAL EQUATIONS; KINETIC THEORY; KINETICS; NITROGEN; TUBES (COMPONENTS);

PARALLEL FLOW;

EID: 84867959979     PISSN: 00154628     EISSN: None     Source Type: Journal    
DOI: 10.1134/S0015462812050146     Document Type: Article

References (25)

1. F. M. Sharipov and V. D. Seleznev, Rarefied Gas Flows in Channels and Microchannels] [in Russian], Ural Division of the Russian Academy of Sciences, Ekaterinburg (2008).
2. F. Sharipov and V. Seleznev, "Data on Internal Rarefied Gas Flows," J. Phys. Chem. Ref. Data 27, 657 (1998).
3. S. K. Loyalka and T. S. Storvik, "Kinetic Theory of Thermal Transpiration and Mechanocaloric Effect. III. Flow of Polyatomic Gases between Parallel Plates," J. Chem. Phys. 71, 339 (1979).
4. S. S. Lo and S. K. Loyalka, "Flow of Rarefied Polyatomic Gas between Parallel Plates," J. Vacuum Sci. Technol. A 7, 2766 (1989).
5. S. K. Loyalka, T. S. Storvik, and S. S. Lo, "Thermal Transpiration and Mechanocaloric Effect. IV. Flow of Polyatomic Gases in a Cylindrical Tube Surface," J. Chem. Phys. 76, 4157 (1982).
6. S. S. Lo, S. K. Loyalka, and T. S. Storvik, "Kinetic Theory of Thermal Transpiration and Mechano-Caloric Effect. V. Flow of Polyatomic Gases in a Cylindrical Tube with Arbitrary Accommodation at the Surface," J. Chem. Phys. 81, 2439 (1984).
7. I. V. Chermyaninov, V. G. Chernyak, and G. A. Fomyagin, "Heat and Mass Transfer Processes in Polyatomic Gases in a Plane Channel at Arbitrary Knudsen Numbers," Zh. Prikl. Mekh. Tekhn. Fiz. No. 6, 81 (1984).
8. I. V. Chermyaninov, V. G. Chernyak, and A. N. Kulev, "Heat and Mass Transfer Processes in Polyatomic Gases in a Cylindrical Capillary Tube at Arbitrary Knudsen Numbers," Inzh.-Fiz. Zh. 47(1), 71 (1984).
9. V. A. Rykov, "A Model Equation for a Gas with Rotational Degrees of Freedom," Fluid Dynamics 10(6), 959 (1975).
10. V. A. Rykov and D. A. Shirobokov, "Numerical Method for Solving the Time-Dependent Kinetic Equation," in: Reports on Applied Mathematics] [in Russian], Russian Academy of Sciences, Computer Center, Moscow (1993).
11. V. A. Rykov, V. A. Titarev, and E. M. Shakhov, "Shock Wave Structure in a Diatomic Gas Based on a Kinetic Model," Fluid Dynamics 43(2), 316 (2008).
12. I. N. Larina and V. A. Rykov, "Kinetic Model of the Boltzmann Equation for a Power-Law Molecular-Interaction Potential," Zh. Vychisl. Mat. Mat. Fiz. 50, 544 (2010).
13. I. N. Larina and V. A. Rykov, "Boundary Conditions for Gases on a Body Surface," Fluid Dynamics 21(5), 795 (1986).
14. E. M. Shakhov, "Generalization of the Krook Kinetic Relaxation Equation," Fluid Dynamics 3(5), 95 (1968).
15. V. A. Rykov and V. N. Skobelkin, "Macroscopic Description of the Motions of a Gas with Rotational Degrees of Freedom," Fluid Dynamics 13(1), 144 (1978).
16. I. N. Larina and V. A. Rykov, "Three-Dimensional Rarefied Flow past Conical Bodies," Zh. Vychisl. Mat. Mat. Fiz. 29, 110 (1989).
17. E. M. Shakhov, "Linearized Problem of Two-Dimensional Rarefied Flow in a Long Channel," Zh. Vychisl. Mat. Mat. Fiz. 39, 1240 (1999).
18. E. M. Shakhov, "Rarefied Flow in a Finite-Length Tube," Zh. Vychisl. Mat. Mat. Fiz. 40, 647 (2000).
19. V. A. Titarev and E. M. Shakhov, "Nonisothermal Gas Flow in a Long Channel on the Basis of the Kinetic S-Model," Zh. Vychisl. Mat. Mat. Fiz. 50, 2246 (2010).
20. C. K. Chu, "Kinetic-Theoretic Description of the Formation of a ShockWave," Phys. Fluids 8, 12 (1965).
21. V. A. Titarev, "Conservative Numerical Methods for Model Kinetic Equations," J. Computers Fluids 36, 1446 (2007).
22. V. A. Titarev, "Numerical Method for Calculating Time-Dependent Two-Dimensional Rarefied Flows in Domains of Arbitrary Shape," Zh. Vychisl. Mat. Mat. Fiz. 49, 1255 (2009).
23. V. A. Titarev and E. M. Shakhov, "Conservative Higher-Order Method for Calculating Rarefied-Gas Poiseuille Flow in a Channel with an Arbitrary Cross-Section," Zh. Vychisl. Mat. Mat. Fiz. 50, 563 (2010).
24. V. A. Titarev, "Implicit Unstructured-Mesh Method for Calculating Poiseuille Flows of Rarefied Gas," Comm. Comput. Phys. 8, 427 (2010).
25. F. Sharipov, "Onsager-Casimir Reciprocity Relations for Open Gaseous Systems at Arbitrary Rarefaction. II. Application of the Theory for Single Gas," Physica A 203, 457 (1994).