Theoretically Based Correlating Equations for the Local Characteristics of Fully Turbulent Flow in Round Tubes and between Parallel Plates

1995 ◽  
Vol 34 (4) ◽  
pp. 1332-1341 ◽  
Author(s):  
Stuart W. Churchill ◽  
Christina Chan
Keyword(s):  
Turbulent Flow ◽  
Parallel Plates ◽  
Local Characteristics ◽  
Correlating Equations

On Turbulent Flow Between Parallel Plates

1953 ◽  
Vol 20 (1) ◽  
pp. 109-114
Author(s):  
S. I. Pai
Keyword(s):  
Turbulent Flow ◽  
Velocity Distribution ◽  
Poiseuille Flow ◽  
The Other ◽  
Turbulent Velocity ◽  
Parallel Plates ◽  
Mean Velocity ◽  
Reynolds Equations ◽  
Mean Pressure ◽  
The Mean

Abstract The Reynolds equations of motion of turbulent flow of incompressible fluid have been studied for turbulent flow between parallel plates. The number of these equations is finally reduced to two. One of these consists of mean velocity and correlation between transverse and longitudinal turbulent-velocity fluctuations u 1 ′ u 2 ′ ¯ only. The other consists of the mean pressure and transverse turbulent-velocity intensity. Some conclusions about the mean pressure distribution and turbulent fluctuations are drawn. These equations are applied to two special cases: One is Poiseuille flow in which both plates are at rest and the other is Couette flow in which one plate is at rest and the other is moving with constant velocity. The mean velocity distribution and the correlation u 1 ′ u 2 ′ ¯ can be expressed in a form of polynomial of the co-ordinate in the direction perpendicular to the plates, with the ratio of shearing stress on the plate to that of the corresponding laminar flow of the same maximum velocity as a parameter. These expressions hold true all the way across the plates, i.e., both the turbulent region and viscous layer including the laminar sublayer. These expressions for Poiseuille flow have been checked with experimental data of Laufer fairly well. It also shows that the logarithmic mean velocity distribution is not a rigorous solution of Reynolds equations.

Radial Turbulent Flow Between Parallel Plates

1985 ◽  
Vol 111 (4) ◽  
pp. 695-712 ◽  
Author(s):  
Girdhari L. Asawa ◽  
Pramod K. Pande ◽  
Pramod N. Godbole
Keyword(s):  
Turbulent Flow ◽  
Parallel Plates

scholarly journals Flow in a pipe of rectangular cross-section

1928 ◽  
Vol 120 (786) ◽  
pp. 691-700 ◽  
Keyword(s):  
Laminar Flow ◽  
Turbulent Flow ◽  
Cross Section ◽  
Rectangular Cross Section ◽  
Stream Line ◽  
Parallel Plates ◽  
Rectangular Section ◽  
Circular Section ◽  
Line Flow ◽  
Minimum Ratio

The object of the research was to investigate the flow of water in a pipe of rectangular cross-section. Much work has been done on similar problems with pipes of circular section, and pipes of rectangular section have been investigated by Fromm and Davies and White. Fromm avoided with pipes in which the ratio of the sides was never less than 6 to 1; his report deals only with turbulent flow. In the case of Davies and White's research, the minimum ratio of the sides was 40 to 1, so that the laminar flow could be calculated from the formula for flow between infinitely wide parallel plates. The present writer used a pipe of section 1·178 cms. by 0·404 cms, (ratio of sides = 2·92); this presents a fresh problem were stream line flow is concerned, and shows interesting results in the region of the critical velocity.

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