Perturbation methods applied to the helical flow of a Casson fluid

• Autorzy: Chiera C. , Connell H. J. , Shepherd J. J.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

perturbation methods; helical flow; Casson fluid; rheometry

PL

reologia; przewód spiralny; reometria

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2005
• Tom: Vol. 10, no 1
• Strony: 39--51
• Opis fizyczny: Bibliogr. 3 poz., wykr.

Twórcy

autor

Chiera C.

• Department of Mathematics, Royal Melbourne Institute of Technology PO Box 2476V, Melbourne, 3001, AUSTRALIA

autor

Connell H. J.

• Department of Mathematics, Royal Melbourne Institute of Technology PO Box 2476V, Melbourne, 3001, AUSTRALIA

autor

Shepherd J. J.

• Department of Mathematics, Royal Melbourne Institute of Technology PO Box 2476V, Melbourne, 3001, AUSTRALIA

Bibliografia

• [1] Bhattacharya S.N., Chryss A., Connell H.J. and Shepherd JJ. (1990): Rotational rheometer for settling multiphase mixtures. - Proc. 5th National Conf. Rheol., Melbourne, pp.15-18.
• [2] Coleman B.D. and Noll W. (1959): Helical flow of general fluids. - J. App. Phys., vo1.10, pp.1508-1512.
• [3] Tanner R.I. (1988): Engineering Rheology. - Oxford: Oxford University Press.