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.

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.

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.

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