The use of algebraic stress models in the prediction of secondary flows in straight ducts of non-circular cross-section is found to be unsatisfactory and to give inconsistent results in the sub-channels within a rod bundle. An algebraic expression is presented which allows the source of axial vorticity to be calculated directly and without iteration. The expression is shown to reproduce secondary velocities in square and triangular ducts, and in a duct consisting of two inter-connected subchannels.
BrundrettE.BainesW. D., ‘The production and diffusion of vorticity in duel flow’ J. Fluid Mech., 1964, 19, 375–394.
3.
AlyA. M. M.TruppA. C.GerrardA. D., ‘Measurements and prediction of fully developed turbulent flow in an equilateral triangular duct’. J. Fluid Mech., 1978, 85, 57–83.
4.
TruppA. C.AlyA. M. M., ‘Predicted secondary flows in triangular array rod bundles’, J. Fluids Engng, 1979, 101, 354–363.
5.
LaunderB. E.YingW. M., ‘Prediction of flow and heat transfer in ducts of square cross-section’, Proc. Instn mech. Engrs, 1973, 187, 455–461.
6.
GessnerF. B.EmeryA. F., ‘A Reynolds stress model for turbulent corner flows, part 1: Development of the model’, J. Fluids Engng, 1976, 98, 261–268.
7.
GessnerF. B.PoJ. K., ‘A Reynolds stress model for turbulent corner flows, part 2: Comparisons between theory and experiment’, J. Fluids Engng, 1976, 98, 269–277.
8.
SealeW. J., ‘Turbulent diffusion of heat between connected flow passages. Part 2: Predictions using the “k — ε” turbulence model’, Nucl. Engng Des., 1979, 54, 197–209.
9.
GosmanA. D. et al., Heat and mass transfer in recirculating flows, 1969 (Academic Press, London).
10.
KackerS. C., ‘Discussion of Prediction of flow and heat transfer in ducts of square cross-section’, Proc. Instn mech. Engrs, 1973, 187, D147–D148.
11.
GessnerF. B.EmeryA. F., ‘A length-scale model for developing turbulent flow in a rectangular duct’, J. Fluids Engng, 1977, 99, 347–356.
12.
EmeryA. F.NeighborsP. K.GessnerF. B., ‘The numerical prediction of developing turbulent flow and heat transfer in a square duct’, J. Heat Transfer, 1980, 102, 51–57.
13.
CarajilescovP.TodreasN. E., ‘Experimental and analytical study of axial turbulent flows in an interior subchannel of a bare rod bundle’, J. Heat Transfer, 1976, 98, 262–268.
14.
TruppA. C.AlyA. M. M., ‘Predicted turbulent flow characteristics in triangular array rod bundles’, University of Manitoba, Mech. Eng. Report ER25.26, 1978.
15.
BartzisJ. G.TodreasN. E., ‘Turbulence modelling of axial flow in a bare rod bundle’, J. Heat Transfer, 1979, 101, 628–634.
16.
GosmanA. D.RapleyC. W., ‘Fully-developed flow in passages of arbitrary cross-section’, in TaylorC.MorganK., Recent Advances in Numerical Methods in Fluids, 1980, (Pineridge Press, Swansea, UK).
17.
AlshamaniK. M. M., ‘Correlations among turbulent shear stress, turbulent kinetic energy, and axial turbulence intensity’, AIAA J., 1978, 16, 859–861.
18.
AlshamaniK. M. M., ‘Relationships between turbulent intensities in turbulent pipe and channel flows’, Aero. J., 1979, 83, 159–161.
19.
RehmeK., ‘Experimentelle Untersuchungen der turbulenten Strömung in einem Wandkanal eines Stabbündles’, Kernfors-chungszentrum, KFK 2441, 1977.
20.
LauferJ., ‘The structure of turbulence in fully developed pipe flows’, NACA Report TN 1174, 1954.
21.
LaunderB. E.YingW. M., ‘Secondary flows in ducts of square cross-section’, J. Fluid Mech., 1972, 54, 289–295.
22.
MellingA.WhitelawJ. H., ‘Turbulent flow in a rectangular duct’, J. Fluid Mech., 1976, 78, 289–315.
