Effects of Lumped Masses on the Stability of Fluid Conveying Tubes

1970 ◽  
Vol 37 (2) ◽  
pp. 494-497 ◽  
Author(s):  
J. L. Hill ◽  
C. P. Swanson
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Fluid Flow ◽  
Flow Velocity ◽  
Equation Of Motion ◽  
Numerical Results ◽  
Fluid Flow Velocity ◽  
The Stability ◽  
The Masses ◽  
Lumped Masses

The effects of adding lumped masses to fluid conveying tubes are studied. The addition of the masses is accounted for by a discontinuous mass distribution. Solutions of the partial differential equation of motion with the discontinuous coefficient are sought approximately using Galerkin’s method. Numerical results are presented for the destabilizing fluid-flow velocity for a cantilevered tube. The numerical results compare favorably with experimental results.

Analysis of the Influences of Drilling Fluid Flow Velocity inside and outside the Drilling String on Drilling String Lateral Vibration Frequency

2013 ◽  
Vol 821-822 ◽  
pp. 1418-1421
Author(s):  
Tie Yan ◽  
Li Wang ◽  
Xiao Feng Sun ◽  
Jun Bo Qu
Keyword(s):  
Differential Equation ◽  
Fluid Flow ◽  
Flow Velocity ◽  
Vibration Frequency ◽  
Drilling Fluid ◽  
Euler Method ◽  
Lateral Vibration ◽  
Fluid Flow Velocity ◽  
Drilling String ◽  
Mass Coefficient

Drilling string lateral vibration is a severe damage,which is influenced by many complex factors. This paper makes a theoretical analysis of the drilling string lateral vibration frequency caused by drilling fluid flow velocity inside and outside the drilling string, which supplies some evidence for calculating rotation speed of rotary table and reduces the times of drill string resonance. The influence of drilling fluid flow velocity inside the drilling string on lateral vibration frequency is analyzed by Euler method. Besides,through the use of mechanical analysis method and the introduction of additional mass coefficient. A differential equation of drilling string lateral vibration with the consideration of drilling fluid flow velocity inside and outside the drilling string is built up, and a mathematical model of drilling string lateral vibration under the influence of drilling fluid flow velocity is obtained. Field applications indicate that this model is in agreement with the field condition. Key words: mass coefficient;differential equation; drilling fluid flow velocity; lateral vibration frequency;

Qxygen transfer in gravity flow sewers

2000 ◽  
Vol 42 (3-4) ◽  
pp. 417-422 ◽  
Author(s):  
T.Y. Pai ◽  
C.F. Ouyang ◽  
Y.C. Liao ◽  
H.G. Leu
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Dissolved Oxygen ◽  
Flow Velocity ◽  
Molecular Diffusion ◽  
Eddy Diffusion ◽  
Partial Differential ◽  
Diffusion Term ◽  
Sewer Pipes ◽  
Gravity Sewer

Oxygen diffused to water in gravity sewer pipes was studied in a 21 m long, 0.15 m diameter model sewer. At first, the sodium sulfide was added into the clean water to deoxygenate, then the pump was started to recirculate the water and the deoxygenated water was reaerated. The dissolved oxygen microelectrode was installed to measure the dissolved oxygen concentrations varied with flow velocity, time and depth. The dissolved oxygen concentration profiles were constructed and observed. The partial differential equation diffusion model that considered Fick's law including the molecular diffusion term and eddy diffusion term were derived. The analytic solution of the partial differential equation was used to determine the diffusivities by the method of nonlinear regression. The diffusivity values for the oxygen transfer was found to be a function of molecular diffusion, eddy diffusion and flow velocity.

scholarly journals A dual sensor device to estimate fluid flow velocity at diffuse hydrothermal vents

2009 ◽  
Vol 56 (11) ◽  
pp. 2065-2074 ◽  
Author(s):  
J. Sarrazin ◽  
P. Rodier ◽  
M.K. Tivey ◽  
H. Singh ◽  
A. Schultz ◽  
...  
Keyword(s):  
Fluid Flow ◽  
Flow Velocity ◽  
Hydrothermal Vents ◽  
Sensor Device ◽  
Fluid Flow Velocity ◽  
Dual Sensor

scholarly journals Penerapan Dinamika Fluida dalam Perhitungan Kecepatan Aliran dan Perolehan Minyak di Reservoir

2014 ◽  
Vol 5 (2) ◽  
pp. 707
Author(s):  
Dwi Listriana Kusumastuti
Keyword(s):  
Fluid Dynamics ◽  
Fluid Flow ◽  
Flow Velocity ◽  
Oil Recovery ◽  
Control Volume ◽  
Petroleum Industry ◽  
Reservoir Rock ◽  
Curved Pipe ◽  
Fluid Flow Velocity ◽  
Control Volumes

Water, oil and gas inside the earth are stored in the pores of the reservoir rock. In the world of petroleum industry, calculation of volume of the oil that can be recovered from the reservoir is something important to do. This calculation involves the calculation of the velocity of fluid flow by utilizing the principles and formulas provided by the Fluid Dynamics. The formula is usually applied to the fluid flow passing through a well defined control volume, for example: cylinder, curved pipe, straight pipes with different diameters at the input and output, and so forth. However, because of reservoir rock, as the fluid flow medium, has a wide variety of possible forms of the control volumes, hence, calculation of the velocity of the fluid flow is becoming difficult as it would involve calculations of fluid flow velocity for each control volume. This difficulties is mainly caused by the fact that these control volumes, that existed in the rock, cannot be well defined. This paper will describe a method for calculating this fluid flow velocity of the control volume, which consists of a combination of laboratory measurements and the use of some theories in the Fluid Dynamics. This method has been proofed can be used for calculating fluid flow velocity as well as oil recovery in reservoir rocks, with fairly good accuration.

Sign in / Sign up

Export Citation Format

Share Document