What does an ideal wall look like?

Struchtrup, H.
March 2008
Continuum Mechanics & Thermodynamics;Mar2008, Vol. 19 Issue 8, p493
Academic Journal
This paper deals with the interface between a solid and an ideal gas. The surface of the solid is considered to be an ideal wall, if the flux of entropy is continuous, i.e., if the interaction between wall and gas is non-dissipative. The concept of an ideal wall is discussed within the framework of kinetic theory. In particular it is shown that a non-dissipative wall must be adiabatic and does not exerts shear stresses to the gas, if the interaction of a gas atom with the wall is not influenced by the presence of other gas atoms. It follows that temperature jumps and slip will be observed at virtually all walls, although they will be negligibly small in the hydrodynamic regime (i.e., for small Knudsen numbers).


Related Articles

  • Comparison of Kinetic Theory and Hydrodynamics for Poiseuille Flow. Zheng, Yihao; Garcia, Alejandro L.; Alder, Berni J. // AIP Conference Proceedings;2003, Vol. 663 Issue 1, p149 

    Comparison of particle (DSMC) simulation with the numerical solution of the Navier-Stokes (NS) equations for pressure-driven plane Poiseuille flow is presented and contrasted with that of the acceleration-driven Poiseuille flow. Although for the acceleration-driven case DSMC measurements are...

  • Self-diffusion in freely evolving granular gases. Brey, J. Javier; Ruiz-Montero, M. J.; Cubero, D.; García-Rojo, R. // Physics of Fluids;Apr2000, Vol. 12 Issue 4 

    A self-diffusion equation for a freely evolving gas of inelastic hard disks or spheres is derived starting from the Boltzmann-Lorentz equation, by means of a Chapman-Enskog expansion in the density gradient of the tagged particles. The self-diffusion coefficient depends on the restitution...

  • A simple kinetic theory model of reactive collisions. IV. Laboratory fixed orientational cross sections. Evans, Glenn T. // Journal of Chemical Physics;10/1/1987, Vol. 87 Issue 7, p3865 

    The differential orientational cross section, obtainable from molecular beam experiments on aligned molecules, is calculated using the line-of-normals model for reactive collisions involving hard convex bodies. By means of kinetic theory methods, the dependence of the cross section on the angle...

  • Transfer properties of mixtures of rarefied neutral gases. Hydrogen—argon system. Shashkov, A. G.; Zolotukhina, A. F.; Fokin, L. P.; Kalashnikov, A. N. // Journal of Engineering Physics & Thermophysics;Mar2010, Vol. 83 Issue 1, p188 

    A method is proposed for generalization of the transport properties of mixtures of rarefied gases on the basis of their particle-interaction potentials and relations of the molecular-kinetic theory. A simultaneous processing of data on the viscosity of a binary Ar–H2 mixture and its...

  • The Concept of Mass-Density in Classical Thermodynamics and the Boltzmann Kinetic Equation for Dilute Gases. Dadzie, S. Kokou; Reese, Jason M. // AIP Conference Proceedings;12/31/2008, Vol. 1084 Issue 1, p117 

    In this paper we discuss the mass-density of gas media as represented in kinetic theory. It is argued that conventional representations of this variable in gas kinetic theory contradict a macroscopic field variable and thermodynamic property in classical thermodynamics. We show that in cases...

  • Study of Parameters Effect on Hydrodynamics of a Gas-Solid Chamber Experimentally and Numerically. Hamzehei, Mahdi; Rahimzadeh, Hassan // EPJ Web of Conferences;2012, Issue 25, p02005-p.1 

    In this research, gas velocity, initial static bed height and particle size effect on hydrodynamics of a non-reactive gas-solid fluidized bed chamber were studied experimentally and computationally. A multi fluid Eulerian model incorporating the kinetic theory for solid particles was applied to...

  • Compaction and dilation rate dependence of stresses in gas-fluidized beds. Moon, Sung Joon; Kevrekidis, I. G.; Sundaresan, S. // Physics of Fluids;Aug2006, Vol. 18 Issue 8, p083304 

    A particle dynamics-based hybrid model, consisting of monodisperse spherical solid particles and volume-averaged gas hydrodynamics, is used to study traveling planar waves (one-dimensional traveling waves) of voids formed in gas-fluidized beds of narrow cross-sectional areas. Through...

  • Rheology of particle suspensions with low to moderate fluid inertia at finite particle inertia. Verberg, Rolf; Koch, Donald L. // Physics of Fluids;Aug2006, Vol. 18 Issue 8, p083303 

    The lattice Boltzmann method is applied to simulate the rheology of particle suspensions with low-to-moderate fluid inertia and a wide range of particle inertia. The viscous dissipation in a suspension of particles with a Maxwellian velocity distribution is shown to have a linear dependence on...

  • Extended thermodynamics of dense gases. Arima, T.; Taniguchi, S.; Ruggeri, T.; Sugiyama, M. // Continuum Mechanics & Thermodynamics;Nov2012, Vol. 24 Issue 4-6, p271 

    We study extended thermodynamics of dense gases by adopting the system of field equations with a different hierarchy structure to that adopted in the previous works. It is the theory of 14 fields of mass density, velocity, temperature, viscous stress, dynamic pressure, and heat flux. As a...


Read the Article


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

Try another library?
Sign out of this library

Other Topics