Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-20T15:22:24.835Z Has data issue: false hasContentIssue false
  • English
  • Français

Recirculating pipe flows

Published online by Cambridge University Press:  26 April 2006

D. B. Ingham ,
D. J. Keen ,
P. J. Heggs  and
B. R. Morton
D. B. Ingham
Affiliation:
Department of Applied Mathematical Studies, University of Leeds, Leeds, LS2 9JT, UK
D. J. Keen
Affiliation:
Department of Applied Mathematical Studies, University of Leeds, Leeds, LS2 9JT, UK
P. J. Heggs
Affiliation:
Department of Chemical Engineering, University of Bradford. Bradford. BD7 1DP, UK
B. R. Morton
Affiliation:
Department of Mathematics, Monash University, Clayton, Victoria, 3168, Australia
Get access Rights & Permissions [Opens in a new window]

Abstract

Experimental and numerical investigations are performed for the situation of steady recirculating combined-convection water flows in a cylindrical duct. The experimental results are presented as photographs from which information regarding the stream-function and temperature distributions within the water can be deduced. The experimental flows, which have Reynolds number in the range 15 < Re < 31, are modelled numerically using an elliptic finite-difference formulation and a multigrid solution technique. The results for stream function and temperature are compared with the experimental results and agreement is found to be generally very good. Plots of flow average temperature, local Nusselt number, average Nusselt number and friction factor times Reynolds number are also presented for each flow situation considered.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 213 , April 1990 , pp. 443 - 464
Copyright
© 1990 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

Brandt, A. 1977 Multi-level adaptive solutions to boundary value problems. Maths Comput. 31, 333–390.Google Scholar
Collins, M. W. 1975 Viscous dissipation effects on developing laminar flow in adiabatic and heated tubes. Proc. Inst. Mech. Engrs 189, 129–137.Google Scholar
Falle, S. A. E. G. & Wilson, M. J. 1988 Multigrid calculation of jet flow In ICFD Conf. on Numerical Methods for Fluid Dynamics. IMA Conference Series. Clarendon.
Fuchs, L. 1986 A local mesh-refinement technique for incompressible flows. Computers Fluids 14, 69–81.Google Scholar
Gaskell, P. H., Lau, A. K. C. & Wright, N. G. 1988 Comparison of two solution strategies for use with higher order discretisation schemes in fluid flow simulation. Intl J. Numer. Meth. Fluids (to appear).Google Scholar
Ghia, U., Ghia, K. N. & Shin, C. T. 1982 High-Re solutions for incompressible flow using the Navier—Stokes equations and a multigrid method. J. Comput. Fluids 48, 387–411.Google Scholar
Gray, D. D. & Giorgini, A. 1976 The validity of the Boussinesq approximation for liquids and gases. Intl J. Heat Mass Transfer 19, 545–551.Google Scholar
Keen, D. J. 1988 Combined convection in heat exchangers. Ph.D. thesis, University of Leeds.
Morton, B. R. 1960 Laminar convection in uniformly heated vertical pipes. J. Fluid Mech. 8, 227–240.Google Scholar
Morton, B., Ingham, D. B., Keen, D. J. & Heggs, P. J. 1987 Experimental and numerical investigations into recirculating combined convection in laminar pipe flow. Proc. Intl Symp. on Natural Circulation, ASME Winter Annual Meeting, Boston, MA, Dec. 1987, pp. 331–339.
Phillips, R. E. & Schmidt, F. W. 1985 A multilevel-multigrid technique for recirculating flows. Numer. Heat Transfer 8, 573–594.Google Scholar
Raznjevic, K. 1976 Handbook of Thermodynamic Tables and Charts. McGraw-Hill.