Numerical Predictions Of Turbulent Flow And
Heat Transfer In Circular Pipes Using A Low
Reynolds Number Two-equation Model Of
Turbulence
Author(s)
S. H. Chan, R. Amano, M. Abou-Ellail, S. Kaseb & H. Kayed
Abstract
The present paper is concerned with the numerical simulations of the turbulent
flow and heat transfer in circular pipes using a low Reynolds number model for
turbulence kinetic energy and its dissipation rate. Unlike the high Reynolds
number turbulence models, the present solution procedure requires no special
treatments near the pipe walls; i.e., no wall functions are needed to simulate the
turbulent flow and heat transfer at the pipe walls. It is well known that the type
of the wall function has been criticized on the basis that the obtained solution is
essentially dependent on some adjustable tuning model constants. The present
low Reynolds number model takes the solution up to the walls without any
abrupt changes in the axial velocity and temperature profiles. Finite-volume
equations are derived for the conservation equations of the mass continuity, axial
and radial velocity components, temperature, turbulence kinetic energy and its
dissipation rate. The resulting finite-volume equations are solved iteratively
using a tri-diagonal matrix algorithm. The obtained results are considered
converged when the errors are less than 0.1 percent. The converged radial
profiles of the gas temperature, the axial velocity and the axial profiles of the
Nusselt number, mean bulk temperature and wall heat flux are presented for six
fixed values of the Reynolds numbers. Moreover, the axial profiles of the
Nusselt number are presented for six values of the Reynolds number. The
Keywords
numerical simulation, low Reynolds number, turbulent flow, heat transfer
Related Book
Other papers in this volume
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