Breakdown of Laminar Pipe Flow into Transitional Intermittency and Subsequent Attainment of Fully Developed Intermittent or Turbulent Flow

The present study shows that the Reynolds stress anisotropy tensor for turbulent flow depends both on the nature of the surface and the boundary conditions of the flow. Contrary to the case of turbulent boundary layers with k-type surface roughness, the measured anisotropy invariants of the Reynolds stress tensor over a series of spanwise square bars separated by rectangular cavities (k-type) in duct flows show that roughness increases the anisotropy. There is a similarity between the effect of roughness on channel flow turbulence and that on pipe flow turbulence. The present data show that the effect of introducing a surface roughness significantly perturbs the entire thickness of the turbulent flow.

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

Journal of Applied Mechanics ◽

10.1115/1.4011218 ◽

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.

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Transition from Turbulent to Laminar Pipe Flow

The Physics of Fluids ◽

10.1063/1.1706612 ◽

1962 ◽

Vol 5 (3) ◽

pp. 280 ◽

Cited By ~ 33

Author(s):

Merwin Sibulkin

Keyword(s):

Pipe Flow ◽

Laminar Pipe Flow

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Comparison of method of lines and finite difference solutions of 2-D Navier-Stokes equations for transient laminar pipe flow

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.354 ◽

2001 ◽

Vol 53 (7) ◽

pp. 1615-1628 ◽

Cited By ~ 10

Author(s):

Nevin Selçuk ◽

Tanıl Tarhan ◽

Songül Tanrıkulu

Keyword(s):

Finite Difference ◽

Pipe Flow ◽

Stokes Equations ◽

Method Of Lines ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Laminar Pipe Flow

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Simultaneous Wall and Fluid Axial Conduction in Laminar Pipe-Flow Heat Transfer

Journal of Heat Transfer ◽

10.1115/1.3244249 ◽

1980 ◽

Vol 102 (1) ◽

pp. 58-63 ◽

Cited By ~ 89

Author(s):

M. Faghri ◽

E. M. Sparrow

Keyword(s):

Heat Transfer ◽

Pipe Flow ◽

Numerical Solutions ◽

Transfer Problem ◽

Upstream Region ◽

Heated Region ◽

Axial Conduction ◽

Conductance Parameter ◽

Flow Heat ◽

Laminar Pipe Flow

Consideration is given to a laminar pipe flow in which the upstream portion of the wall is externally insulated while the downstream portion of the wall is uniformly heated. An analysis of the problem is performed whose special feature is the accounting of axial conduction in both the tube wall and in the fluid. This conjugate heat transfer problem is governed by two dimensionless groups—a wall conductance parameter and the Peclet number, the latter being assigned values from 5 to 50. From numerical solutions, it was found that axial conduction in the wall can carry substantial amounts of heat upstream into the non directly heated portion of the tube. This results in a preheating of both the wall and the fluid in the upstream region, with the zone of preheating extending back as far as twenty radii. The preheating effect is carried downstream with the fluid, raising temperatures all along the tube. The local Nusselt number exhibits fully developed values in the upstream (non directly heated) region as well as in the downstream (directly heated) region. Of the two effects, wall axial conduction can readily overwhelm fluid axial conduction.

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