Methods of predicting the growth of turbulent boundary layers in conical diffusers using the kinetic-energy deficit equation were developed. Three different forms of auxiliary equations were used. Comparison between the measured and predicted results showed that there was fair agreement although there was a tendency to underestimate the predicted momentum thickness and over-estimate the predicted shape factor.
Get full access to this article
View all access options for this article.
References
1.
SpaldingD. B.‘A unified theory of friction, heat transfer and mass transfer in the turbulent boundary layer and wall jet’, A.R.C.25988, 1964.
2.
SpaldingD. B.‘New light on the kinetic-energy-deficit equation of the turbulent boundary layer’, Department of Mechanical Engineering, Imperial College of Science and Technology, 1964.
3.
LudwiegH.TillmannW.‘Untersuchungen uber die Wandschubspanning in turbulenten Riebungsschichten’, Ing.-Arch.194917, 288 (Translated as: ‘Investigations of the wall shearing stress in turbulent boundary layers’, NASA TM 1285, 1950, also as A.R.C. 14800).
4.
SpaldingD. B. Private communication, 1965.
5.
EscudierM. P.SpaldingD. B.‘A note on the turbulent uniform-property hydrodynamic boundary layer on a smooth impermeable wall; comparisons of theory with experiment’, A.R.C. 27302 F.M. 3642, 1965.
6.
NicollW. B.EscudierM. P.‘Empirical relationships between the shape factors H32 and H12 for uniform-density turbulent boundary layers and wall jets’, TWF/TN/3, 1965.
7.
PatankarS. V.SpaldingD. B.‘A calculation procedure for heat transfer by forced convection through two-dimensional uniform-property turbulent boundary layers on smooth impermeable walls’, Paper No. 46, Proc. Third International Heat Transfer Conference, Chicago, August 1966.
8.
CoppM. R.KlevattP. L.‘Investigations of highsubsonic performance characteristics of a 12° 21-inch conical diffuser, including the effects of change in inlet boundary-layer thickness’, NACA RM L9H10, 1950.
9.
FraserH. R.‘The turbulent boundary layer in a conical diffuser’, Proc. Am. Soc. civ. Engrs Paper 1684, HY.3, June 1958.
10.
KennedyF. R.PershJ.‘A procedure for calculating the development of turbulent boundary layers under the influence of adverse pressure gradients’, NACA TN2478, 1951.
11.
LittleB. H.jun.WilburS. W.‘Performances and boundary layer data from 12° and 23° conical diffusers of area ratio 2·0 at Mach number up to choking and Reynolds number up to 7–5 × 106’, NACA Report 1201, 1954.
12.
RobertsonJ. M.HollJ. W.‘Effect of adverse pressure gradients on turbulent boundary layers in axisymmetric conduits’, Jl appl. Mech.195724 (No. 2, June).
13.
UramE. M.‘The growth of an axisymmetric turbulent boundary layer in an adverse pressure gradient’, Proc. Second U.S. National Congress of Applied Mechanics 1955, 687 (Am. Soc. Mech. Engrs).
14.
VilleneuveF.‘Contribution a l'étude de l'écoulement dans un diffuseur à six degrés’, Publications Scientifiques et Techniques du Ministère de l'Air, No. 397, August 1963.
