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Experimental Conditions for Minimum Critical Reynolds Number in Pipe Flow

[+] Author Affiliations
Hidesada Kanda, Takayuki Yanagiya

University of Aizu

Paper No. IMECE2005-80637, pp. 87-96; 10 pages
  • ASME 2005 International Mechanical Engineering Congress and Exposition
  • Fluids Engineering
  • Orlando, Florida, USA, November 5 – 11, 2005
  • Conference Sponsors: Fluids Engineering Division
  • ISBN: 0-7918-4219-3 | eISBN: 0-7918-3769-6
  • Copyright © 2005 by ASME


From the results of many experiments carried out in the past, it is clear that the transition between laminar and turbulent flows occurs in the entrance region, and that the critical Reynolds number (Rc) is governed by the shape of the bellmouth entrance. To date, it has not been considered how a bellmouth-shaped entrance affects the flow in pipes. If it governs the transition, the turbulence can be controlled. These findings are verified by reproducing Reynolds color-dye experiments, in particular, varying the ratio of the bellmouth diameter to pipe diameter (BD/D). CASE I through IV are devised for natural disturbance conditions. We found that (i) there were two types of Rc, namely, Rc1 for the laminar to turbulent flow transition and Rc2 for the turbulent to laminar flow transition, (ii) each bellmouth-shaped entrance had a minimum value, Rc2(min, ent), which increased as BD/D increased, and (iii) when using a straight pipe, the Rc value of 2050 was obtained as a minimum value in CASE II and IV, and the Rc2(min) value was approximately 1750 in CASE III.

Copyright © 2005 by ASME



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