The effect of the Earth’s rotation on the transient amplification of disturbances in pipe flow

2003 ◽  
Vol 15 (10) ◽  
pp. 3028 ◽  
Author(s):  
Lars B. Bergström
Keyword(s):  
Pipe Flow ◽  
Earth’S Rotation ◽  
Earth's Rotation

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.

The Earth's rotation and laminar pipe flow

1998 ◽  
Vol 361 ◽  
pp. 297-308 ◽  
Author(s):  
A. A. DRAAD ◽  
F. T. M. NIEUWSTADT
Keyword(s):  
Coriolis Force ◽  
Pipe Flow ◽  
Stokes Equations ◽  
Reynolds Numbers ◽  
Viscous Force ◽  
Navier Stokes ◽  
Earth’S Rotation ◽  
Earth's Rotation ◽  
Navier Stokes Equations ◽  
Physical Background

A pipe flow facility with a length of 32 m and a diameter of 40 mm has been designed in which a laminar flow of water can be maintained for Reynolds numbers up to 60 000. Velocity measurements taken in this facility show an asymmetric velocity profile both in the vertical as well as horizontal direction with velocities that deviate strongly from the parabolic Hagen–Poiseuille profile. The cause of this asymmetry is traced back to the influence of the Earth's rotation. This is confirmed by means of a comparison of the experimental data with the results from a perturbation solution and from a numerical computation of the full nonlinear Navier–Stokes equations. The physical background of this unforeseen result lies in the fact that a Hagen–Poiseuille flow is governed by a force equilibrium and inertia forces are everywhere negligible. This implies that the Coriolis force can be balanced only by a viscous force. So even the small Coriolis force due to the Earth's rotation causes a large velocity distortion for a case such as ours where the kinematic viscosity is small.

Zonal and tesseral harmonic perturbations of an artificial satellite

1966 ◽  
Vol 25 ◽  
pp. 323-325 ◽  
Author(s):  
B. Garfinkel
Keyword(s):  
Angular Velocity ◽  
Spherical Harmonics ◽  
Artificial Satellite ◽  
Compact Form ◽  
Earth’S Rotation ◽  
Earth's Rotation ◽  
Secular Variations ◽  
Tesseral Harmonics

The paper extends the known solution of the Main Problem to include the effects of the higher spherical harmonics of the geopotential. The von Zeipel method is used to calculate the secular variations of orderJmand the long-periodic variations of ordersJm/J2andnJm,λ/ω. HereJmandJm,λare the coefficients of the zonal and the tesseral harmonics respectively, withJm,0=Jm, andωis the angular velocity of the Earth's rotation. With the aid of the theory of spherical harmonics the results are expressed in a most compact form.

Earth’s rotation—one more

1992 ◽  
Vol 30 (4) ◽  
pp. 196-196
Author(s):  
Robert Lanni
Keyword(s):  
Earth’S Rotation ◽  
Earth's Rotation

F. R. Stephenson, Historical eclipses and earth’s rotation

Peritia ◽  
1997 ◽  
Vol 11 ◽  
pp. 378-381
Author(s):  
D. P. McCarthy
Keyword(s):  
Earth’S Rotation ◽  
Earth's Rotation
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