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Extended thermodynamics and the Jeffrey's constitutive equation

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Abstract

Extended irreversible thermodynamics provides an evolution equation for the viscous pressure tensor which reduces to the Jeffrey's constitutive equation in the long-wave limit. in contrast with Jeffrey's equation, the equation obtained in extended irreversible thermodynamics leads to finite speed of propagation for shear pulses. The nonlocal effects are included into the theory by allowing the entropy to depend on higher-order fluxes, instead of spatial gradients. The use of the former ones is clearly advantageous in the high-frequency domain.

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References

  1. Boon JP, Yip S (1980) Molecular Hydrodynamics. McGraw-Hill, New York

    Google Scholar 

  2. Bird RB, Armstrong RC, Hassager O (1977) Dynamics of polymeric liquids. Wiley, New York

    Google Scholar 

  3. Nettleton RE (1960) Phys Fluids 3:216

    Google Scholar 

  4. Muller I (1967) Z Phys 198:329

    Google Scholar 

  5. Casas-Vazquez J, Jou D, Lebon G (eds) (1984) Recent developments in nonequilibrium thermodynamics. Springer, Berlin

    Google Scholar 

  6. Muller I (1985) Thermodynamics. Pitman, London

    Google Scholar 

  7. Jou D, Casas-Vazquez J, Lebon G (1988) Rep Progr Phys 51:1105

    Google Scholar 

  8. Garcia-Colin LS (1988) Rev Mex Fisica 34:344

    Google Scholar 

  9. Lebon G, Perez-Garcia C, Casas-Vazquez J (1986) Physica A 137:531

    Google Scholar 

  10. Lebon G, Perez-Garcia C, Casas-Vazquez J (1988) J Chem Phys 88:5068

    Google Scholar 

  11. Lopez de Haro M, del Castillo LF, Rodriguez RF (1986) Rheol Acta 25:207

    Google Scholar 

  12. Rodriguez RF, Lopez de Haro M, Manero O (1988) Rheol Acta 27:217

    Google Scholar 

  13. Muller I, Wilmansky K (1986) Rheol Acta 25:335

    Google Scholar 

  14. Camacho J, Jou D (1990) J Chem Phys 92:1339

    Google Scholar 

  15. Khayat RE, Eu BC (1989) Phys Rev 39:728

    Google Scholar 

  16. Camacho J, Jou D (1990) Phys Lett A 144:71

    Google Scholar 

  17. Grad H (1958) Principles of the Kinetic Theory of Gases. In: Flugge S (ed) Handbuch der Physik XII. Springer, Berlin

    Google Scholar 

  18. Eu BC (1979) J Chem Phys 73:2958

    Google Scholar 

  19. Jou D, Perez-Garcia C, Garcia-Colin LS, Lopez de Haro M, Rodriguez RF (1985) Phys Rev A 31:2502

    Google Scholar 

  20. Perez-Garcia C, Jou D (1985) Phys Lett A 107:390

    Google Scholar 

  21. Joseph DD, Preziosi L (1989) Rev Mod Phys 61:41

    Google Scholar 

  22. Truesdell C (1985) Rational Thermodynamics. McGraw-Hill, New York

    Google Scholar 

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Camacho, J., Jou, D. Extended thermodynamics and the Jeffrey's constitutive equation. Rheol Acta 30, 226–229 (1991). https://doi.org/10.1007/BF00366635

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  • DOI: https://doi.org/10.1007/BF00366635

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