✦ LIBER ✦

Shape Factor and Hydraulic Conductance in Noncircular Capillaries: I. One-Phase Creeping Flow

✍ Scribed by T.W. Patzek; D.B. Silin

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 333 KB
Volume: 236
Category: Article
ISSN: 0021-9797
DOI: 10.1006/jcis.2000.7413

No coin nor oath required. For personal study only.

✦ Synopsis

We use the Mason-Morrow shape factor, i.e., a dimensionless hydraulic radius, and corner half-angles to capture the geometry of noncircular capillaries pertinent to a physically adequate pore network description of porous media. We give analytic expressions for random corner half-angles that satisfy a given shape factor calculated from the microscopic images of pore space. We demonstrate that use of the shape factor leads to particularly simple expressions for the hydraulic conductance in single-phase flow through noncircular capillaries. In particular, we obtain the hydraulic conductances of arbitrary triangular ducts semianalytically, using conformal mapping. The conductances of equilateral triangular, rectangular, and elliptic ducts are calculated analytically.

📜 SIMILAR VOLUMES

Shape Factor Correlations of Hydraulic C

Shape Factor Correlations of Hydraulic Conductance in Noncircular Capillaries: II. Two-Phase Creeping Flow

✍ T.W. Patzek; J.G. Kristensen 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 327 KB

In Part I of this paper, we introduced the Mason-Morrow shape factor and the corner half-angles to capture the part of geometry of angular capillaries essential in pore network calculations of singleand two-phase flow in drainage and imbibition. We then used this shape factor to obtain simple expres