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On a possible difference between the barycentric velocity and the velocity that gives translational momentum in fluids

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  • Bedeaux, Dick
  • Kjelstrup, Signe
  • Christian Öttinger, Hans

Abstract

This paper explores the rather controversial proposal by Howard Brenner that the velocities that follow from the mass flux and from the translational momentum in a fluid, are not equal. We show that standard non-equilibrium thermodynamics can be formulated such that it is in full agreement with this proposal. We argue that the merits of the proposal must be based on the physics of the problem. It cannot be dismissed as being in contradiction with non-equilibrium thermodynamics. We show that Brenners proposal gives a separation in a binary mixture beyond that of the Soret equilibrium, due to a gradient in the pressure divided by the temperature. Possible experiments to verify this are discussed.

Suggested Citation

  • Bedeaux, Dick & Kjelstrup, Signe & Christian Öttinger, Hans, 2006. "On a possible difference between the barycentric velocity and the velocity that gives translational momentum in fluids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 177-187.
    • Handle: RePEc:eee:phsmap:v:371:y:2006:i:2:p:177-187
    DOI: 10.1016/j.physa.2006.05.023
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    Cited by:

    1. Brenner, Howard, 2009. "Bi-velocity hydrodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(17), pages 3391-3398.
    2. Brenner, Howard, 2013. "Bivelocity hydrodynamics. Diffuse mass flux vs. diffuse volume flux," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 558-566.
    3. Brenner, Howard, 2011. "Derivation of constitutive data for flowing fluids from comparable data for quiescent fluids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 3645-3661.
    4. Brenner, Howard, 2011. "Steady-state heat conduction in quiescent fluids: Incompleteness of the Navier–Stokes–Fourier equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(20), pages 3216-3244.

    More about this item

    Keywords

    Hydrodynamics; Navier–Stokes;

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