Series solution of low Dean and Germano number flows in helical rectangular ducts

Authors
Thomson, DL Bayazitoglu, Y Meade, AJ
Citation
Dl. Thomson et al., Series solution of low Dean and Germano number flows in helical rectangular ducts, INT J TH SC, 40(11), 2001, pp. 937-948
Citations number
20
Categorie Soggetti
Mechanical Engineering
Journal title
INTERNATIONAL JOURNAL OF THERMAL SCIENCES
ISSN journal
12900729 → ACNP
Volume
40
Issue
11
Year of publication
2001
Pages
937 - 948
Database
ISI
SICI code
1290-0729(200111/12)40:11<937:SSOLDA>2.0.ZU;2-Z
Abstract
The flow in a helical duct with rectangular cross-section is analyzed. A se ries solution based on curvature and torsion is introduced. The components of the series are determined analytically using appropriate eigenfunction e xpansions. The resulting solution is limited to flows in the low Dean numbe r, low Germano number regime. An analytical friction factor relation is est ablished and compared with previous numerically determined correlations. (C ) 2001 Editions scientifiques et medicales Elsevier SAS.