Perturbation methods applied to the helical flow of a Casson fluid

Chiera, C, Connell, H and Shepherd, J 2005, 'Perturbation methods applied to the helical flow of a Casson fluid', International Journal of Applied Mechanics and Engineering, vol. 10, no. 1, pp. 39-51.


Document type: Journal Article
Collection: Journal Articles

Title Perturbation methods applied to the helical flow of a Casson fluid
Author(s) Chiera, C
Connell, H
Shepherd, J
Year 2005
Journal name International Journal of Applied Mechanics and Engineering
Volume number 10
Issue number 1
Start page 39
End page 51
Total pages 12
Publisher Technical University Press
Abstract The helical flow of a Casson fluid between infinitely long coaxial cylinders is analyzed, when the inner cylinder has a given constant angular velocity, and a constant axial flow rate is imposed. Perturbation methods are applied in two circumstances of physical interest - that of low axial flow rates; and that of small intercylindrical gap width - to yield approximate expressions describing the fluid velocity field; and the Reiner-Riwlin equation, the fundamental relationship linking the angular velocity of the inner cylinder, the torque experienced there, and the given axial flow rate. The accuracy of these expressions is tested by comparison with solutions generated using numerical computation.
Subject Theoretical and Applied Mechanics
Keyword(s) perturbation methods
helical flow
Casson fluid
rheometry
ISSN 1425-1655
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