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Research Papers: Fundamental Issues and Canonical Flows

Transition to Turbulence in Accelerating Pipe Flow

[+] Author and Article Information
Ivar Annus

Department of Mechanics,  Tallinn University of Technology, Ehitajate tee 5, Tallinn 19086, Estonia,e-mail: ivar.annus@ttu.ee

Tiit Koppel

Department of Mechanics,  Tallinn University of Technology, Ehitajate tee 5, Tallinn 19086, Estonia,e-mail: tiit.koppel@ttu.ee

J. Fluids Eng 133(7), 071202 (Jul 05, 2011) (9 pages) doi:10.1115/1.4004365 History: Received July 08, 2010; Accepted June 03, 2011; Published July 05, 2011; Online July 05, 2011

A uniformly accelerated laminar flow in a pipe, initially at rest, is analyzed. The acceleration increases the critical Reynolds number remarkably. New experimental findings are used to describe the transitional process in accelerating pipe flow. The results are shown to validate the previously suggested transition parameters obtained on the basis of results on small diameter pipes. The influence of the transition process on mean values is studied. The relationships between flow parameters and transition time were derived from the experimental results for data available. The time from the start of the flow to the initiation of turbulence can be predicted by an empirical formula.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

Test rig for accelerating flows (reversible and nonreversible)

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Figure 2

Case A1A007: (a) variation of Reynolds number, (b) variation of shear stresses

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Figure 3

Dependence between acceleration rate and transition period

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Figure 4

Case A1027: (a) variation of Reynolds number, (b) variation of hot-film output

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Figure 5

Case A1A014: (a) variation of Reynolds number, (b) variation of hot-film output

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Figure 6

Variation of mean Reynolds number

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Figure 7

Variation of mean pressure

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Figure 8

Variation of mean wall shear stress

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Figure 9

Variation of rms of wall shear stress

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Figure 10

Equilibrium of forces

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Figure 11

Correlation of the critical Reynolds number

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Figure 12

Variation of the dimensionless transition time τ* versus dimensionless acceleration α

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