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A new Eulerian model for viscous and heat conducting compressible flows

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  • Svärd, Magnus

Abstract

In this article, a suite of physically inconsistent properties of the Navier–Stokes equations, associated with the lack of mass diffusion and the definition of velocity, is presented. We show that these inconsistencies are consequences of the Lagrangian derivation that models viscous stresses rather than diffusion.

Suggested Citation

  • Svärd, Magnus, 2018. "A new Eulerian model for viscous and heat conducting compressible flows," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 350-375.
    • Handle: RePEc:eee:phsmap:v:506:y:2018:i:c:p:350-375
    DOI: 10.1016/j.physa.2018.03.097
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    References listed on IDEAS

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    1. Bardow, André & Christian Öttinger, Hans, 2007. "Consequences of the Brenner modification to the Navier–Stokes equations for dynamic light scattering," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 88-96.
    2. Brenner, Howard, 2005. "Kinematics of volume transport," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 349(1), pages 11-59.
    3. Dadzie, S. Kokou & Reese, Jason M. & McInnes, Colin R., 2008. "A continuum model of gas flows with localized density variations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(24), pages 6079-6094.
    4. Brenner, Howard, 2005. "Navier–Stokes revisited," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 349(1), pages 60-132.
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