Coupled nonlinear constitutive models for rarefied and microscale gas flows: Subtle interplay of kinematics and dissipation effects

Continuum Mechanics and Thermodynamics

Volumn 21, Issue 5, 2009, Pages 389-399

  Myong, R S ^a  

^a Gyeongsang National University   (South Korea)

Author keywords

Constitutive relation; Continuum mechanics; Force driven Poiseuille flow; Microscale and nanoscale gases

Indexed keywords

CONSTITUTIVE RELATION; CONSTITUTIVE RELATIONS; MICRO-SCALES; NANO SCALE; POISEUILLE FLOW;

AERODYNAMICS; BOLTZMANN EQUATION; CONSTITUTIVE MODELS; CONTINUUM MECHANICS; ELASTICITY; FLOW OF GASES; FLUID DYNAMICS; HYDRODYNAMICS; METHOD OF MOMENTS; NANOSTRUCTURED MATERIALS; SHEAR DEFORMATION;

GASES;

EID: 72549104065     PISSN: 09351175     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00161-009-0112-6     Document Type: Conference Paper

References (17)

1. Truesdell C., Noll W.: The Non-Linear Field Theories of Mechanics. Springer, Heidelberg (2003)
2. J.M. Reese M.A. Gallis D.A. Lockerby 2003 New directions in fluid dynamics: non-equilibrium aerodynamic and microsystem flows Phil. Trans. Roy. Soc. Lond. A 361 2967 2988 1068.76044 10.1098/rsta.2003.1281 2051719 2003RSPTA.361.2967R (Pubitemid 37553857)
3. Eu B.C.: Kinetic Theory and Irreversible Thermodynamics. Wiley, New York (1992)
4. Eu B.C.: Generalized Thermodynamics: The Thermodynamics of Irreversible Processes and Generalized Hydrodynamics. Kluwer Academic Publishers, Dordrecht (2002)
5. M. Tij A. Santos 1994 Perturbation analysis of a stationary nonequilibrium flow generated by an external force J. Stat. Phys. 76 1399 1414 0839.76076 10.1007/BF02187068 1298108 1994JSP....76.1399T
6. P.Y. Huang D.D. Joseph 2000 Effects of shear thinning on migration of neutrally buoyant particles in pressure driven flow of Newtonian and viscoelastic fluids J. Non-Newton. Fluid Mech. 90 2-3 159 185 0980.76095 10.1016/S0377-0257(99)00074-9 (Pubitemid 30322578)
7. R.S. Myong 1999 Thermodynamically consistent hydrodynamic computational models for high-Knudsen-number gas flows Phys. Fluids 11 9 2788 2802 1149.76489 10.1063/1.870137 1999PhFl...11.2788M
8. R.S. Myong 2001 A computational method for Eu's generalized hydrodynamic equations of rarefied and microscale gasdynamics J. Comput. Phys. 168 47 72 1074.76573 10.1006/jcph.2000.6678 2001JCoPh.168...47M (Pubitemid 33668237)
9. R.S. Myong 2004 A generalized hydrodynamic computational model for rarefied and microscale diatomic gas flows J. Comput. Phys. 195 655 676 1115.76405 10.1016/j.jcp.2003.10.015 2004JCoPh.195..655M (Pubitemid 38482797)
10. I.V. Karlin G. Dukek T.F. Nonnenmacher 1997 Invariance principle for extension of hydrodynamics: nonlinear viscosity Phys. Rev. E 55 2 1573 1576 10.1103/PhysRevE.55.1573 1997PhRvE..55.1573K
11. Garzo V., Santos A.: Kinetic Theory of Gases in Shear Flows: Nonlinear Transport. Kluwer Academic Publishers, Boston (2003)
12. R.S. Myong 2004 Gaseous slip model based on the Langmuir adsorption isotherm Phys. Fluids 16 1 104 117 10.1063/1.1630799 2004PhFl...16..104M (Pubitemid 38143954)
13. G. Emanuel 1992 Effect of bulk viscosity on a hypersonic boundary layer Phys. Fluids A 4 3 491 495 0748.76067 10.1063/1.858322 1021641 1992PhFl....4..491E
14. M.M. Mansour F. Baras A.L. Garcia 1997 On the validity of hydrodynamics in plane Poiseuille flows Physica A 240 255 267 10.1016/S0378-4371(97)00149-0 1997PhyA..240..255M
15. K. Xu 2003 Super-Burnett solutions for Poiseuille flow Phys. Fluids 15 7 2077 2080 10.1063/1.1577564 1987478 2003PhFl...15.2077X (Pubitemid 37060980)
16. M. Torrilhon H. Struchtrup 2008 Boundary conditions for regularized 13-moment-equations for micro-channel flows J. Comput. Phys. 227 1982 2011 1132.76049 10.1016/j.jcp.2007.10.006 2450981
17. Ansumali, S.: Minimal kinetic modeling of hydrodynamics, Doctor of Technical Sciences Dissertation. Swiss Federal Institute of Technology Zurich (2004)