Turbulent newtonian flow in annuli

Abstract

In recent years there have been quite a few experimental studies on turbulent flow in annuli. In this paper a Prandtl mixing‐length approach is applied to give a friction factor vs. Reynolds number expression for annuli [see Equation (22) and Table 1]; this expression describes tube flow and slit flow as special cases. No new adjustable constants appear in the final result other than those determined earlier for tube flow. The final expression is found to predict friction factors within the accuracy of the existing experimental data. The mixing‐length friction‐factor expression is thus substantially more accurate than the usual hydraulic‐radius procedure and of comparable accuracy to other recent annulus friction‐factor treatments.

Heat Transfer and Pressure Drop Characteristics in the Annuli of Tube-in-Tube Heat Exchangers (Horizontal Lay-Out)

“…Jones and Leung [26] published a paper in 1981 wherein they investigated the data collected by Meter and Bird [27] and of Rothfus, Monrad and Secal [28]. Jones and Leung found an overall scatter of -25% to +35% about the Colebrook prediction for smooth tubes.…”

Liquid velocity and dispersion coefficient in an airlift reactor with inverse internal loop

“…( 1 1 The coefficients B , and B2 depend on the tube geometry, annuli or circular tube (Meter and Bird [6] and Prandtl et al [7]). The pressure drop due to the two phase flow in the riser LIP//)^ was calculated according to Storek and Brauer [9] [Eq.…”

Turbulent flow of dilute polymer solutions through an annulus

“…W e define (1) The shear stress near the inner wall i s T~, and near the outer wall T W 2 ; the mean shear stress over the cross section i s T w a . Using the geometrical considerations and the assumption that T w = 0 at r = ro, one may write…”

“…Jbid., 13, 443 (1967). Manuscript received March 27, 1 9 6 9 ; rezision received August 25, 1 9 6 9 ; paper accepted August 2 9 , 1 Axial flow between concentric tubes i s often encountered ular polymers to a liquid. This phenomenon, which has been studied recently in turbulent pipe flow, may a l s o generate drastic changes in the characteristics of annular flow.…”

“…The analysis of annular flow proposed by Meter and Bird (1) i s based on the assumptions that the local mean velocity profile i s logarithmic and that the location of the maximum local mean velocity in the cross section i s the same as in a laminar and turbulent flow. Expressions for the relation between friction factor and Reynolds number were obtained on the basis of these assumptions.…”