The stability of elastico-viscous flow between rotating cylinders. Part 1

Author:

Thomas R. H.,Walters K.

Abstract

Consideration is given to the flow of an idealized elastico-viscous liquid contained in the narrow channel between two concentric cylinders, the motion being due to the relative rotation of the cylinders. It is shown that the presence of elasticity in the liquid lowers the value of the critical Taylor number at which instability occurs. The secondary motion arising at the onset of instability has the usual cellular pattern, the cell length being decreased by the presence of elasticity in the liquid.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference10 articles.

1. Thomas, R. H. & Walters, K. 1963a Proc. Roy. Soc. A,274,371.

2. Walters, K. 1960 Quart. J. Mech. Appl. Math. 13,444.

3. Walters, K. 1963 To appear in Proc. I.U.T.A.M. Symp., Haifa, Israel .

4. Oldroyd, J. G. , Strawbridge, D. J. & Toms, B. A. 1951 Proc. Phys. Soc. B,64,44.

5. Thomas, R. H. & Walters, K. 1963b J. Fluid Mech. 16,228.

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