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Prediction of laminar flow and heat transfer in helically coiled pipes

Published online by Cambridge University Press:  29 March 2006

S. V. Patankar ,
V. S. Pratap  and
D. B. Spalding
S. V. Patankar
Affiliation:
Department of Mechanical Engineering, Imperial College, London
V. S. Pratap
Affiliation:
Department of Mechanical Engineering, Imperial College, London
D. B. Spalding
Affiliation:
Department of Mechanical Engineering, Imperial College, London
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Abstract

A calculation procedure for three-dimensional parabolic flows is applied to predict the velocity and temperature fields in helically coiled pipes. The curvature produces a secondary flow and causes departures from the symmetric velocity profile of Poiseuille flow. Predictions are presented of flow and heat transfer in the developing and fully developed regions. Comparisons of the developing and fully developed velocity profiles with experimental data exhibit good agreement. The development of the wall temperature for the case of axially uniform heat flux with an isothermal periphery has been compared with experimental data and the agreement is good. Predictions for fully developed temperature profiles and heat-transfer coefficients also exhibit good agreement with experimental data. Effects of the Dean number on the friction factor and heat transfer are presented.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 62 , Issue 3 , 11 February 1974 , pp. 539 - 551
Copyright
© 1974 Cambridge University Press

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References

Adler, M. 1934 Strömung in gekrümmten Rohren Z. angew. Math. Mech. 14, 257.Google Scholar
Akiyama, M. & Cheng, K. C. 1971 Boundary vorticity method for laminar forced convection heat transfer in curved pipes. Int. J. Heat Mass Transfer 14, 1659.Google Scholar
Austin, L. R. 1971 The development of viscous flow within helical coils. Ph.D. thesis, University of Utah.
Caretto, L. S., Curr, R. M. & Spalding, D. B. 1971 Two numerical methods for three-dimensional boundary layers. Imperial College, Mech. Engng Rep. EF/TN/A/40.Google Scholar
Dean, W. R. 1927 Note on the motion of fluid in a curved pipe Phil. Mag. 14, 208.Google Scholar
Dravid, A. N. 1971 Effect of secondary fluid motion on laminar flows and heat transfer in helically coiled tubes A.I.Ch.E. J. 17, 1107.Google Scholar
Ito, H. 1970 Laminar flow in curved pipes. Rep. no. 224. Inst. High Speed Mech., Japan, vol. 22, p. 161.Google Scholar
Mcconalogue, D. J. & Srivastava, R. S. 1968 Motion of a fluid in a curved tube. Proc. Roy. Soc A 307, 37–53.Google Scholar
Mori, Y & Nakayama, W. 1965 Study on forced convective heat transfer in curved pipes (1st report, Laminar region) Int. J. Heat Mass Transfer, 8, 67.Google Scholar
Patankar, S. V. & Spalding, D. B. 1972 A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows. Int. J. Heat. Mass Transfer, 15, 1787.Google Scholar
Seban, R. A. & McLaughin, E. F. 1963 Heat transfer in tube coils with laminar and turbulent flow Int. J. Heat Mass Transfer, 6, 387.Google Scholar