Resistance to Steady Laminar Flow of Pseudoplastic Fluids through Pipes and Valves

1966 ◽  
Vol 8 (2) ◽  
pp. 226-233 ◽  
Author(s):  
J. F. Ury
Keyword(s):  
Laminar Flow ◽  
Friction Factor ◽  
Test Data ◽  
Pipe Flow ◽  
Flow Resistance ◽  
General Procedure ◽  
Consistency Curve ◽  
Pseudoplastic Fluids ◽  
Laminar Pipe Flow ◽  
Steady Laminar

The well-known logarithmic friction factor diagram for laminar pipe flow can be extended in the following two respects: For application to non-Newtonian fluids, by incorporating in the plot a modified form of the consistency curve for a given material. Methods are discussed of obtaining these curves, and of transforming them into the required shape. For prediction of flow resistance through valves and fittings, by use of an auxiliary diagram based on results of appropriate tests. The general procedure is outlined, and it is stressed that results cannot be relied on quantitatively, until test data are obtained for wider ranges of sizes and types than hitherto available.

The Effect of the Earth’s Rotation on Laminar Flow in Pipes

1956 ◽  
Vol 23 (1) ◽  
pp. 123-127
Author(s):  
G. S. Benton
Keyword(s):  
Laminar Flow ◽  
Secondary Flow ◽  
Cross Section ◽  
Pipe Flow ◽  
Earth’S Rotation ◽  
Laboratory Studies ◽  
Earth's Rotation ◽  
Parabolic Profile ◽  
Set Up ◽  
Laminar Pipe Flow

Abstract The theory of laminar pipe flow has been developed, retaining the effect of the earth’s rotation. A secondary flow is set up in the pipe cross section which results in distortion of the usual parabolic profile. The distortion may be significant in pipes of moderate diameter. Laboratory studies tend to substantiate these conclusions.

Unified Approach to the Solution of Problems of Unsteady Laminar Flow in Long Pipes

1983 ◽  
Vol 50 (1) ◽  
pp. 8-12 ◽  
Author(s):  
M. F. Letelier S. ◽  
H. J. Leutheusser
Keyword(s):  
Laminar Flow ◽  
Power Series ◽  
Pipe Flow ◽  
Power Series Expansion ◽  
Solution Procedure ◽  
Time Dependent ◽  
Local Velocity ◽  
Unified Approach ◽  
Forcing Function ◽  
Laminar Pipe Flow

The paper presents a unified approach to the solution of laminar pipe-flow transients in which the forcing function may depend on the motion itself. The key to the solution procedure is a power series expansion of the local velocity in terms of radial position, involving a single time-dependent coefficient. The method of analysis is applied to the solution of two particular cases of transients, namely flow establishment, without and with inflow, respectively. It is found to yield results that are in excellent agreement with other known analytical solutions and experimental observations.

scholarly journals Evaluating the Effects of Sediment Transport on Pipe Flow Resistance

Water ◽  
2021 ◽  
Vol 13 (15) ◽  
pp. 2091
Author(s):  
Vito Ferro ◽  
Alessio Nicosia
Keyword(s):  
Velocity Profile ◽  
Pipe Flow ◽  
Power Distribution ◽  
Flow Resistance ◽  
Unit Length ◽  
Particle Diameter ◽  
Self Similarity ◽  
Sediment Size ◽  
The Mean ◽  
The Relationship

In this paper, the applicability of a theoretical flow resistance law to sediment-laden flow in pipes is tested. At first, the incomplete self-similarity (ISS) theory is applied to deduce the velocity profile and the corresponding flow resistance law. Then the available database of measurements carried out by clear water and sediment-laden flows with sediments having a quasi-uniform sediment size and three different values of the mean particle diameter Dm (0.88 mm, 0.41 mm and 0.30 mm) are used to calibrate the parameter of the power-velocity profile). The fitting of the measured local velocity to the power distribution demonstrates that (i) for clear flow the exponent δ) can be estimated by the equation of Castaing et al. and (ii) for the sediment-laden flows δ is related to the diameter Dm. A relationship for estimating the parameter Гv obtained by the power-velocity profile) and that Гf of the flow resistance law) is theoretically deduced. The relationship between the parameter Гv, the head loss per unit length and the pipe flow Froude number is also obtained by the available sediment-laden pipe flow data. Finally, the procedure to estimate the Darcy–Weisbach friction factor is tested by the available measurements.

Heat Transfer in Turbulent Pipe Flow for Liquids Having a Temperature-Dependent Viscosity

1978 ◽  
Vol 100 (2) ◽  
pp. 224-229 ◽  
Author(s):  
O. T. Hanna ◽  
O. C. Sandall
Keyword(s):  
Heat Transfer ◽  
Friction Factor ◽  
Pipe Flow ◽  
Turbulent Pipe Flow ◽  
Fluid Viscosity ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Analytical Approximations ◽  
Constant Viscosity ◽  
Dependent Viscosity

Analytical approximations are developed to predict the effect of a temperature-dependent viscosity on convective heat transfer through liquids in fully developed turbulent pipe flow. The analysis expresses the heat transfer coefficient ratio for variable to constant viscosity in terms of the friction factor ratio for variable to constant viscosity, Tw, Tb, and a fluid viscosity-temperature parameter β. The results are independent of any particular eddy diffusivity distribution. The formulas developed here represent an analytical approximation to the model developed by Goldmann. These approximations are in good agreement with numerical solutions of the model nonlinear differential equation. To compare the results of these calculations with experimental data, a knowledge of the effect of variable viscosity on the friction factor is required. When available correlations for the friction factor are used, the results given here are seen to agree well with experimental heat transfer coefficients over a considerable range of μw/μb.

Skin Friction in Unsteady Laminar Pipe Flow

1976 ◽  
Vol 102 (1) ◽  
pp. 41-56
Author(s):  
Mario F. Letelier S. ◽  
Hans J. Leutheusser
Keyword(s):  
Skin Friction ◽  
Pipe Flow ◽  
Laminar Pipe Flow
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