Relaxation analysis and linear stability vs. adsorption in porous materials

Albers, Bettina
February 2003
Continuum Mechanics & Thermodynamics;Feb2003, Vol. 15 Issue 1, p73
Academic Journal
The paper presents a linear stability analysis of a 1D stationary flow through a poroelastic medium. This base flow is perturbed in four ways: by longitudinal (1D) disturbances without and with mass exchange and by transversal (2D) disturbances without and with mass exchange. The eigenvalue problem for the first step field equations is solved using a finite-difference-scheme. For both disturbances without mass exchange results are confirmed by an analytical solution. We present the stability and relaxation properties in dependence on the two most important model parameters, namely the bulk and surface permeability coefficients.


Related Articles

  • Influence of Prandtl number on stability of mixed convective flow in a vertical channel filled with a porous medium. Bera, P.; Khalili, A. // Physics of Fluids;Dec2006, Vol. 18 Issue 12, p124103 

    Buoyancy opposed mixed convection is considered in a vertical channel filled with an isotropic, porous medium, in which the motion of an incompressible fluid is induced by external pressure gradients and buoyancy forces. The Brinkman-Wooding-extended Darcy model has been used to study the...

  • Porous media convection between vertical walls: continuum of solutions from capped to open ends. Weidman, P. D.; Medina, A. // Acta Mechanica;Aug2008, Vol. 199 Issue 1-4, p209 

    Natural convection in a vertical slot filled with a fluid-saturated porous medium modeled by the Brinkman equation is considered. A continuum of solutions are found from capped to open ends in fully-developed two-dimensional flow. This brings to flow in a porous media some aspects of the...

  • Theoritical analysis of acoustic instability of a hypersonic shock layer on a porous wall. Fedorov, A.V.; Yumashev, D.V. // Journal of Applied Mechanics & Technical Physics;Jan2005, Vol. 46 Issue 1, p33 

    The possibility of controlling the laminar-turbulent transition in hypersonic shock layers by means of porous coatings is considered. The linear stability of the shock layer to acoustic disturbances is analyzed. A dispersion relation is derived in an analytical form and analyzed for different...

  • Heat Transfer Characteristics in Consolidated Porous Media. Ando, K.; Nakayama, A.; Imai, Y.; Hirai, H. // AIP Conference Proceedings;5/30/2010, Vol. 1254 Issue 1, p27 

    A volume averaging theory was exploited to obtain the set of macroscopic energy equations for turbulent flows in low density consolidated porous media. The resulting energy equations along with mathematical modeling reveal the reason why the Reynolds number exponent of the Nusselt number...

  • Rarefied gas flow over an in-line array of circular cylinders. Taguchi, Satoshi; Charrier, Pierre // Physics of Fluids;Jun2008, Vol. 20 Issue 6, p067103 

    A steady rarefied gas flow through periodic porous media kept at a uniform temperature is considered on the basis of the Bhatnagar–Gross–Krook equation and the diffuse reflection condition on the solid boundary. Under the assumption that the period is much smaller than the length...

  • Effect of void-size distribution on the Hugoniot state at low shock pressures. Griffiths, David J.; Buettner, Douglas J.; Tsou, Peter // Journal of Applied Physics;11/1/1991, Vol. 70 Issue 9, p4790 

    Analyzes the response of porous aluminum to low pressure shocking. Details of the experimental evidence; Porosity modeling; Porous media; Data on the pressure versus specific volume responses for porous aluminum.

  • Ordered macroporous materials by emulsion templating. Imhof, A.; Pine, D. J. // Nature;10/30/1997, Vol. 389 Issue 6654, p948 

    Presents research which reported a new method for producing highly monodisperse macroporous materials with pore sizes ranging from 50nm to several micrometers. Useful optical properties of ordered macroporous materials; Control over pore size distribution; Method of research; Pores highly...

  • Transient wave propagation in a one-dimensional poroelastic column. Schanz, M.; Cheng, A.H.-D. // Acta Mechanica;2000, Vol. 145 Issue 1-4, p1 

    Studies the transient wave propagation in a one-dimensional poroelastic column. Biot's theory of porous media which governs the wave propagation in a porous, elastic solid infiltrated with fluid; Analytical solution in the Laplace transform domain; Closed form exact solution in time domain.

  • Investigation of th effects of transverse thermal dispersion on forced convection in porous media. Kuznetsov, A.V. // Acta Mechanica;2000, Vol. 145 Issue 1-4, p35 

    Investigates the effect of transverse thermal dispersion on forced convection in porous media. Governing equations of the problem; Solution and analysis; Effect of a varying Reynolds and Darcy numbers on the Nusselt number.


Read the Article


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

Try another library?
Sign out of this library

Other Topics