Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-18T07:35:35.643Z Has data issue: false hasContentIssue false
  • English
  • Français

Prediction of turbulent flow in curved 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
Get access Rights & Permissions [Opens in a new window]

Abstract

A finite-difference procedure is employed to predict the development of turbulent flow in curved pipes. The turbulence model used involves the solution of two differential equations, one for the kinetic energy of the turbulence and the other for its dissipation rate. The predicted total-velocity contours for the developing flow in a 180° bend are compared with the experimental data. Predictions of fully developed velocity profiles for long helically wound pipes are also presented and compared with experimental measurements.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 67 , Issue 3 , 11 February 1975 , pp. 583 - 595
Copyright
© 1975 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Curr, R. M., Sharma, D. & Tatchell, D. G. 1972 Numerical predictions of some three-dimensional boundary layers in ducts. Comp. Methods in Appl. Mech. & Engng, 1, 143–158.Google Scholar
Gosman, A. D. & Spalding, D. B. 1971 The prediction of confined three-dimensional boundary layers. Salford Symp. on Internal Flows, paper 19. London: Inst. Mech. Engrs.
Hanjalić, K. 1970 Ph.D. thesis, London University.
Hawthorne, W. R. 1951 Secondary circulation in fluid flow. Proc. Roy. Soc. A 206, 374–387.Google Scholar
Hogg, G. W. 1968 Ph.D. thesis, University of Idaho.
Ito, H. 1959 Friction factors for turbulent flow in curved pipes. Trans. A.S.M.E., J. Basic Engng, 82, 123–132.Google Scholar
Koosinlin, M. L. & Lockwood, F. C. 1974 The prediction of axisymmetrical turbulent swirling boundary layers. Imperial College, Mech. Engng Dept. Rep. HTS/73/1.Google Scholar
Lavnder, B. E. 1971 An improved algebraic modelling of the Reynolds stresses. Imperial College, Mech. Enging. Dept. Rep. TM/TN/A/9.Google Scholar
Launder, B. E. & Spalding, D. B. 1972 Mathematical Models of Turbulence. Academic.
Mori, T. & Nakayama, W. 1967 Study on forced convective heat-transfer in curved pipes. Int. J. Heat Mass Transfer, 10, 37–59.Google Scholar
Ng, K. H. & Spalding, D. B. 1972 Phys. Fluids, 15, 20–30.
Patankar, S. V., Pratap, V. S. & Spaldng, D. B. 1974 Prediction of laminar flow and heat transfer in helically coiled pipes. J. Fluid Mech., 62, 539–551.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, 1787–1806.Google Scholar
Rodi, W. & Spalding, D. B. 1970 A two-parameter model of turbulence and its application to free jets. Wärme & Stoffübertragung, 35, 85–05.Google Scholar
Rowe, M. 1966 Some secondary flow problems in fluid dynamics. Ph.D. thesis, Cambridge University.
Runchal, A. K. 1969 Ph.D. thesis, London University.
Schlichting, H. 1962 Boundary Layer Theory. McGraw-Hill.
Sharma, D. & Spalding, D. B. 1971 Laminar flow heat transfer in rectangular-sectioned ducts with one moving wall. 1st Nat. Heat & Mass Transfer Conf., India Inst. Tech., Madras, paper HMT-26–71.Google Scholar
Wolfshtein, M. 1969 Ph.D. thesis, London University.