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Laterally converging duct flows. Part 4. Temporal behaviour in the viscous layer

Published online by Cambridge University Press:  26 August 2009

DONALD M. McELIGOT ,
ROBERT S. BRODKEY  and
HELMUT ECKELMANN
DONALD M. McELIGOT*
Affiliation:
Aerospace and Mechanical Engineering Department, University of Arizona, Tucson, AZ 85721, USA Institut für Kernenergetik und Energiesysteme (IKE), Universität Stuttgart, D-70569 Stuttgart, Deutschland Idaho National Laboratory (INL), Idaho Falls, ID 83415-3885, USA Stokes Research Institute, University of Limerick, Limerick, Ireland
ROBERT S. BRODKEY
Affiliation:
Chemical and Biomolecular Engineering Department, Ohio State University, Columbus, OH 43210, USA
HELMUT ECKELMANN
Affiliation:
Institut für Nichtlineare Dynamik, Universität Göttingen, D37073 Göttingen, Deutschland Max-Planck-Institut für Dynamik und Selbstorganisation (formerly Max-Planck-Institut für Strömungsforschung), Bunsenstr. 10, D37073 Göttingen, Deutschland
*
†Email address for correspondence: [email protected]
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Abstract

Since insight into entropy generation is a key to increasing efficiency and thereby reducing fuel consumption and/or waste and – for wall-bounded flows – most entropy is generated in the viscous layer, we examine the transient behaviour of its dominant contributor there for a non-canonical flow. New measurements in oil flow are presented for the effects of favourable streamwise mean pressure gradients on temporal entropy generation rates and, in the process, on key Reynolds-stress-producing events such as sweep front passage and on the deceleration/outflow phase of the overall bursting process. Two extremes have been considered: (1) a high pressure gradient, nearing ‘laminarization’, and (2), for comparison, a low pressure gradient corresponding to many earlier experiments. In both cases, the peak temporal entropy generation rate occurs shortly after passage of the ejection/sweep interface. Whether sweep and ejection rates appear to decrease or increase with the pressure gradient depends on the feature examined and the manner of sampling. When compared using wall coordinates for velocities, distances and time, the trends and magnitudes of the transient behaviours are mostly the same. The main effects of the higher pressure gradient are (a) changes in the time lag between detections – representing modification of the shape of the sweep front and the sweep angle with the wall, (b) modification of the magnitude of an instantaneous Reynolds shear stress with wall distance and (c) enlarging the sweeps and ejections. Results, new for both low and high pressure gradients, are the temporal behaviours of the dominant contribution to entropy generation; it is found to be much more sensitive to distance from the wall than to streamwise pressure gradient.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 634 , 10 September 2009 , pp. 433 - 461
Copyright
Copyright © Cambridge University Press 2009

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