A boundary value problem in extended thermodynamics - One-dimensional steady flows with heat conduction

Continuum Mechanics and Thermodynamics

Volumn 16, Issue 1-2, 2004, Pages 109-124

  Liu, I S ^a   Rincon, M A ^a  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

Extended thermodynamics; Plane Couette flow; Plane shearing flow; Uncontrollable boundary parameter

Indexed keywords

EID: 1342306066     PISSN: 09351175     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00161-003-0144-2     Document Type: Article

References (12)

1. Liu, I-Shih, Rincon, M. A., Müller, I.: Iterative approximation of stationary heat conduction in extended thermodynamics. Continuum Mech. Thermodyn. 14, 483-493 (2002)
2. Struchtrup, H., Weiss, W.: Maximum of the local entropy production becomes minimal in stationary processes. Phy. Rev. Lett. 80, 5048-5051 (1998)
3. Risso, D., Cordero, P.: Dilute gas Couette flow: theory and molecular dynamics simulation. Phys. Rev. E 56, 489-496 (1998)
4. Marques Jr., W., Kremer, G.M.: Couette flow from a thirteen field theory with slip and jump boundary conditions. Continuum Mech. Thermodyn. 13, 207-217 (2001)
5. Reitebuch, D., Weiss, W.: Application of high moment theory to the plane Couette flow. Continuum Mech. Thermodyn. 11, 217-225 (1999)
6. Grad, H.: Principles of the kinetic theory of gases. Handbuch der Physik, Vol. XII, Ed. S. Flügge, Springer (1958)
7. Liu, I-Shih, Müller, I: Extended thermodynamics of classical and degenerate gases. Arch. Rational Mech. Anal. 83, 285-332 (1983)
8. Müller, I., Ruggeri, T.: Rational Extended Thermodynamics. 2nd edition, Tracts in Natural Philosophy 37, Springer, New York (1998)
9. Bhatnagar, P.L., Gross, E.P., Krook, M.: A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems. Phys. Rev. 94 (1954)
10. Truesdell, C.: On the pressure and the flux of energy in a gas according to Maxwell's Kinetic theory II. J. Rational Mech. Anal. 5, 55-128 (1956)
11. Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P.: Numerical Recipes in C, The Art of Scientific Computing, 2nd Edn. Cambridge University Press, Cambridge New York (1992)
12. Truesdell, C., Muncaster, R.G.: Fundamentals of Maxwell's Kinetic Theory of a Simple Monatomic Gas. Academic Press, New York (1980)