Extensions of Classical Hydrodynamics

Grmela, Miroslav
August 2008
Journal of Statistical Physics;Aug2008, Vol. 132 Issue 3, p581
Academic Journal
An abstract dynamical system is formulated from three features extracted from classical hydrodynamics. One its particular realization is then the classical hydrodynamics, other possible realizations are extensions of the classical hydrodynamics. The three features entering the formulation of the abstract dynamical system are the conservation laws, the compatibility with equilibrium thermodynamics, and the compatibility with classical mechanics in the limit of no dissipation. The particular extensions on which we illustrate the process of constructing different realizations are those arising when dealing with fluids in the vicinity of gas-liquid phase transitions (i.e. fluids involving large spatial inhomogeneities and large fluctuations).


Related Articles

  • Phase Transitions in Flow through a Heat-Conducting Porous Skeleton. Kulikovskii, A. G. // Fluid Dynamics;May/Jun2004, Vol. 39 Issue 3, p429 

    The features of one-dimensional seepage flows of a medium in the form of a liquid, vapor, or liquid-vapor mixture are considered. It is assumed that the temperatures of the medium and the porous skeleton through which it flows are determined both by the heat-conduction processes in the skeleton...

  • Properties of certain phase transition fronts in geothermal porous reservoirs. Kondrashov, A.V. // Fluid Dynamics;Nov2004, Vol. 39 Issue 6, p961 

    The properties of equilibrium steam-water mixture - water(steam) phase transition fronts in porous heat-conducting media are investigated in the one-dimensional formulation. The number of necessary boundary conditions on the front (evolutionarity), the direction of propagation of the front with...

  • Transition from fractal to non-fractal scalings in growing scale-free networks. Zhongzhi Zhang; Shuigeng Zhou; Lichao Chen; Jihong Guan // European Physical Journal B -- Condensed Matter;Jul2008, Vol. 64 Issue 2, p277 

    Real networks can be classified into two categories: fractal networks and non-fractal networks. Here we introduce a unifying model for the two types of networks. Our model network is governed by a parameter q. We obtain the topological properties of the network including the degree distribution,...

  • A study of the flow in spiral-channel disks. Shcherbatenko, I.; Surikov, V. // Chemical & Petroleum Engineering;Jan2009, Vol. 45 Issue 1/2, p85 

    Two-dimensional flow is considered for a bladed ring with relative extent of the channel between blades less than 6. Hydrodynamic equations are used with an empirical formula for the hydraulic losses by friction in order to derive a general expression for the radial distributions of the axial...

  • Wave disturbances in transonic separated flows. Dan’kov, B.; Kosenko, A.; Kulikov, V.; Otmennikov, V. // Fluid Dynamics;Nov2006, Vol. 41 Issue 6, p992 

    The results of an investigation of the nature and role of wave disturbances in transonic separated flows are presented. The effect of these disturbances on flow formation and stability, as well as on the characteristics of the pressure fluctuations and the time-average flow parameters, is...

  • Scale patterns of diel distribution of the copepod Cyclops abyssorum Sars in a regulated lake: the relative importance of physical and biological factors. Alessandro Ludovisi; Chiara Todini; Piera Pandolfi; Maria Illuminata Taticchi // Journal of Plankton Research;May2008, Vol. 30 Issue 5, p495 

    The relative importance of hydrological and biological factors in driving the diel distribution of the copepod Cyclops abyssorum from small to large scale is evaluated here in a lake where a complex hydrodynamics is at work and a clear environmental gradient is present. A set of statistical...

  • Steady Flow of a Fluid with an Anomalous Temperature Dependence of Viscosity. Urmancheev, S.F.; Kireev, V.N. // Doklady Physics;May2004, Vol. 49 Issue 5, p328 

    Analyzes numerical results for a flow of an incompressible fluid, whose viscosity has an anomalous temperature dependence, in a two-dimensional channel with a non-uniform temperature field. Flow pattern determination by the structure of a viscous barrier; Effects of the shape and nonmonotonic...

  • Hydrodynamics of bubbling processes: Constrained bubbling. Okhotskii, V. // Theoretical Foundations of Chemical Engineering;May2007, Vol. 41 Issue 3, p328 

    Formulas for the bubbling-zone parameters within a limited space are obtained on the basis of wave-hydrodynamic principles.

  • Orientation distribution of cylindrical particles suspended in a turbulent pipe flow. Ling-Xin Zhang; Jian-Zhong Lin; Chan, T. L. // Physics of Fluids;Sep2005, Vol. 17 Issue 9, p093105 

    A model of turbulent cylindrical particle suspensions is proposed to predict the orientation distribution of particles. The fluctuating equation for the orientation distribution function (ODF) of cylindrical particles is theoretically solved using the method of characteristics. The...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics