Bifurcation phenomena in steady flows of a viscous fluid II. Experiments

Author:

Abstract

The experimental work is concerned with several phenomena studied theoretically in part I (Benjamin 1977). Observations on Taylor-vortex flows between cylinders of comparatively small but variable length are reported, revealing properties unexplained by older theories. The observed flows are classified as follows: (i) the primary mode which is uniquely possible at small values of the Reynolds number R , and which usually develops smoothly with increasing R ; (ii) secondary modes which are possible only above a respective critical value of R , and which are shown to manifest predicted behaviour as this value is approached from above (§4). Two novel and surprising examples of (ii) are reported. A predicted hysteresis phenomenon is confirmed, relating to morphogenesis of the primary mode between two-cell and four-cell forms as the length of the annulus is varied (§5). The experimental results are discussed from a theoretical standpoint in §6.

Publisher

The Royal Society

Subject

Pharmacology (medical)

Reference3 articles.

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2. B ifu rcatio n phen o m en a in ste a d y flows of a viscous fluid. I. T heory. Proc. R;Soc. Lond. A,1977

3. B u rk h a Ite r J . E . & K oschm ieder E . L. J . F Iu id M ech. 58 547-560. 1973 S tead y su percritical T aylor v o rtex flow.

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