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Experimental evidence of convective and absolute instabilities in rotating Hagen–Poiseuille flow

Published online by Cambridge University Press:  28 January 2013

K. Shrestha ,
L. Parras ,
C. Del Pino ,
E. Sanmiguel-Rojas  and
R. Fernandez-Feria
K. Shrestha
Affiliation:
Fluid Mechanics, Universidad de Málaga, E.T.S. Ingeniería Industrial, Campus de Teatinos, 29071, Málaga, Spain
L. Parras
Affiliation:
Fluid Mechanics, Universidad de Málaga, E.T.S. Ingeniería Industrial, Campus de Teatinos, 29071, Málaga, Spain
C. Del Pino*
Affiliation:
Fluid Mechanics, Universidad de Málaga, E.T.S. Ingeniería Industrial, Campus de Teatinos, 29071, Málaga, Spain
E. Sanmiguel-Rojas
Affiliation:
Department of Mechanics, Universidad de Córdoba, E. Politécnica Superior, Campus de Rabanales, 14071, Córdoba, Spain
R. Fernandez-Feria
Affiliation:
Fluid Mechanics, Universidad de Málaga, E.T.S. Ingeniería Industrial, Campus de Teatinos, 29071, Málaga, Spain
*
†Email address for correspondence: [email protected]
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Abstract

Experimental results for instabilities present in a rotating Hagen–Poiseuille flow are reported in this study through fluid flow visualization. First, we found a very good agreement between the experimental and the theoretical predictions for the onset of convective hydrodynamic instabilities. Our analysis in a space–time domain is able to obtain quantitative data, so the wavelengths and the frequencies are also estimated. The comparison of the predicted theoretical frequencies with the experimental ones shows the suitability of the parallel, spatial and linear stability analysis, even though the problem is spatially developing. Special attention is focused on the transition from convective to absolute instabilities, where we observe that the entire pipe presents wavy patterns, and the experimental frequencies collapse with the theoretical results for the absolute frequencies. Thus, we provide experimental evidence of absolute instabilities in a pipe flow, confirming that the rotating pipe flow may be absolutely unstable for moderate values of Reynolds numbers and low values of the swirl parameter.

JFM classification

Instability: Absolute/convective instability Instability: Instability
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 716 , 10 February 2013 , R12
Copyright
©2013 Cambridge University Press

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