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Journal of Enhanced Heat Transfer
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ISSN Imprimer: 1065-5131
ISSN En ligne: 1026-5511

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Journal of Enhanced Heat Transfer

DOI: 10.1615/JEnhHeatTransf.v8.i6.30
pages 383-395

The Scaling and Correlation of Low Reynolds Number Swirl Flows and Friction Factors in Circular Tubes with Twisted-Tape Inserts

Raj M. Manglik
Thermal-Fluids and Thermal Processing Laboratory, Mechanical and Materials Engineering, University of Cincinnati, 2600 Clifton Ave, Cincinnati, OH 45220, USA
S. Maramraju
Thermal-Fluids and Thermal Processing Laboratory, Department of Mechanical, Industrial and Nuclear Engineering, University of Cincinnati, Cincinnati, Ohio, USA
Arthur E. Bergles
Department of Mechanical, Aerospace, and Nuclear Engineering, Rensselaer Polytechnic Institute, Troy, New York; University of Maryland, College Park, Maryland; Massachusetts Institute of Technology, Cambridge, Massachusetts, USA

RÉSUMÉ

This paper assesses the scaling and correlation of fully developed swirl generated by twisted-tape inserts in laminar circular-tube flows. The tape-induced secondary fluid circulation is shown to be characterized by a helical vortex, which grows and breaks up into a pair of counterrotating vortices with decreasing tape-twist ratio y and/or increasing axial flow Reynolds number Re. The validity of correlating isothermal friction factors in such fully developed, two-vortex-cell laminar flows by the swirl parameter (Sw = Res / √y) proposed in an earlier study (Manglik and Bergles [1993a]) is evaluated. Experimental data and computational simulations reported in the literature for a wide range of laminar flow conditions (43 < Re < 2720) and twist ratios (1.5 ≤ y) of the tape inserts are considered. All data and numerical results are found to be in excellent agreement (within ±10%) with the predictions of the Manglik and Bergles f-correlation. This clearly establishes its generalized design applicability as well as verifies the scaling of tape-induced swirl flows by the parameter Sw.


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