an:05787873
Zbl 1195.76014
Chiera, C.; Connell, H. J.; Shepherd, J. J.
Perturbation methods applied to the helical flow of a Casson fluid
EN
Int. J. Appl. Mech. Eng. 10, No. 1, 39-51 (2005).
00117744
2005
j
76A05 76M45
perturbation methods; helical flow; Casson fluid; rheometry
Summary: 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.