scholarly journals Particle filtration: An analysis using the method of volume averaging

10.2172/45583 ◽  
1994 ◽  
Author(s):  
M. Quintard ◽  
S. Whitaker
Keyword(s):  
Volume Averaging ◽  
Particle Filtration ◽  
Method Of Volume Averaging

Heat and Mass Transfer in Tubes: An Analysis Using the Method of Volume Averaging

2002 ◽  
Vol 5 (3) ◽  
pp. 18 ◽  
Author(s):  
Fabrice Golfier ◽  
Michel Quintard ◽  
Stephen Whitaker
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Volume Averaging ◽  
Method Of Volume Averaging

Aerosol filtration: An analysis using the method of volume averaging

1995 ◽  
Vol 26 (8) ◽  
pp. 1227-1255 ◽  
Author(s):  
Michel Quintard ◽  
Stephen Whitaker
Keyword(s):  
Volume Averaging ◽  
Aerosol Filtration ◽  
Method Of Volume Averaging

Fundamentals of Transport Equation Formulation for Two-Phase Flow in Homogeneous and Heterogeneous Porous Media

1999 ◽  
Author(s):  
Michel Quintard ◽  
Stephen Whitaker
Keyword(s):  
Porous Media ◽  
Large Scale ◽  
Practical Importance ◽  
Volume Averaging ◽  
Heterogeneous Porous Media ◽  
Homogenization Theory ◽  
Length Scale ◽  
Two Phase ◽  
The Hierarchical Structure ◽  
Method Of Volume Averaging

Most porous media of practical importance are hierarchical in nature; that is, they are characterized by more than one length-scale. When these length-scales are disparate, the hierarchical structure can be analyzed by the method of volume averaging (Anderson and Jackson, 1967; Marie, 1967; Slattery, 1967; Whitaker, 1967). In this approach, macroscopic quantities at a given length-scale are defined in terms of a boundary value problem that describes the phenomena at a smaller length-scale, and information is filtered from one scale to another by a series of volume and area integrals. Other methods, such as ensemble averaging (Matheron, 1965; Dagan, 1989) or homogenization theory (Bensoussan et al, 1978; Sanchez-Palencia, 1980), have been used to study hierarchical systems, and developments specific to the problems under consideration in this chapter can be found in Bourgeat (1984), Auriault (1987), Amaziane and Bourgeat (1988), and Sáez et al. (1989). The transformation from the Darcy scale to the large scale is a recurrent problem in reservoir and aquifer engineering. A detailed description of reservoir properties is available through geostatistical analysis (Journel, 1996) on a fine grid with a length-scale much smaller than the scale of the blocks in the reservoir simulator. “Effective” or “pseudo” properties are assigned to the coarse grid blocks, while the forms of the large-scale equations are required to be the same as those used at the Darcy scale (Coats et al., 1967; Hearn, 1971; Jacks et al., 1972; Kyte and Berry, 1975; Dake, 1978; Killough and Foster, 1979; Yokoyama and Lake, 1981; Kortekaas, 1983; Thomas, 1983; Kossack et al., 1990). A detailed discussion of the comparison between the several approaches is beyond the scope of this chapter; however, one can read Bourgeat et al. (1988) for an introductory comparison between the method of volume averaging and the homogenization theory, and Ahmadi et al. (1993) for a discussion of the various classes of pseudofunction theories.

scholarly journals Investigation of suitability of the method of volume averaging for the study of heat transfer in superconducting accelerator magnet cooled by superfluid helium

Cryogenics ◽  
2013 ◽  
Vol 53 ◽  
pp. 128-134 ◽  
Author(s):  
Hervé Allain ◽  
Rob Van Weelderen ◽  
Bertrand Baudouy ◽  
Michel Quintard ◽  
Marc Prat ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Superfluid Helium ◽  
Volume Averaging ◽  
Superconducting Accelerator ◽  
Method Of Volume Averaging

scholarly journals The modelling of a textile dyeing process utilizing the method of volume averaging

2003 ◽  
Vol 20 (4) ◽  
pp. 445-453 ◽  
Author(s):  
A.A.Ulson de Souza ◽  
S. Whitaker
Keyword(s):  
Volume Averaging ◽  
Dyeing Process ◽  
Textile Dyeing ◽  
Method Of Volume Averaging

The Method of Volume Averaging

1999 ◽  
Author(s):  
Stephen Whitaker
Keyword(s):  
Volume Averaging ◽  
Method Of Volume Averaging

A general closure scheme for the method of volume averaging

1986 ◽  
Vol 41 (2) ◽  
pp. 227-235 ◽  
Author(s):  
G.H. Crapiste ◽  
E. Rotstein ◽  
S. Whitaker
Keyword(s):  
Volume Averaging ◽  
Closure Scheme ◽  
Method Of Volume Averaging

MODELING OF CEMENT SUSPENSION FLOWIN FINE SANDS IN THE PRESENCE OF PARTICLE FILTRATION

2011 ◽  
Vol 14 (2) ◽  
pp. 107-125 ◽  
Author(s):  
Fatiha Bouchelaghem
Keyword(s):  
Particle Filtration
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