On motion of a double helical vortex in a cylindrical tube

2005 ◽  
pp. 81-86
Author(s):  
Pavel A. Kuibin
Keyword(s):  
Cylindrical Tube ◽  
Helical Vortex

Helical vortices in swirl flow

1999 ◽  
Vol 382 ◽  
pp. 195-243 ◽  
Author(s):  
S. V. ALEKSEENKO ◽  
P. A. KUIBIN ◽  
V. L. OKULOV ◽  
S. I. SHTORK
Keyword(s):  
Reverse Flow ◽  
Double Helix ◽  
Cylindrical Tube ◽  
Vortex Chamber ◽  
Swirl Flow ◽  
Vortex Structures ◽  
Helical Symmetry ◽  
Swirl Flows ◽  
Helical Vortices ◽  
Helical Vortex

Helical vortices in swirl flow are studied theoretically and experimentally.A theory of helical vortices has been developed. It includes the following results: an analytical solution describing an elementary helical vortex structure – an infinitely thin filament; a solution for axisymmetrical vortices accounting for the helical shape of vortex lines and different laws of vorticity distribution; a formula for calculation of the self-induced velocity of helical vortex rotation (precession) in a cylindrical tube; an explanation of the zone with reverse flow (recirculation zone) arising in swirl flows; and the classification of vortex structures.The experimental study of helical vortices was carried out in a vertical hydrodynamical vortex chamber with a tangential supply of liquid through turning nozzles. Various vortex structures were formed owing to changing boundary conditions on the bottom and at the exit section of the chamber. The hypothesis of helical symmetry is confirmed for various types of swirl flow. The stationary helical vortex structures are described (most of them for the first time) the features of which agree with the results and predictions of the theoretical model developed. They are the following: a rectilinear vortex; a composite columnar vortex; helical vortices screwed on the right or on the left; a vortex with changing helical symmetry; a double helix – two entangled vortex filaments of the same sign.

DISSIPATIVE HEAT TRANSFER IN SISKO FLUID PERISTALTIC FLOW THROUGH A CYLINDRICAL TUBE WITH NONLINEAR SLIP

2015 ◽  
Vol 46 (7) ◽  
pp. 643-656 ◽  
Author(s):  
Obaid Ullah Mehmood ◽  
Norzieha Mustapha ◽  
Sharidan Shafie ◽  
Muhammad Qasim
Keyword(s):  
Heat Transfer ◽  
Cylindrical Tube ◽  
Peristaltic Flow ◽  
Sisko Fluid ◽  
Dissipative Heat ◽  
Flow Through

Propagation of Sound Waves in a Cylindrical Tube Filled with a Porous Medium

2009 ◽  
Vol 12 (6) ◽  
pp. 537-548
Author(s):  
Hamzeh M. Duwairi ◽  
Hazim M. Dwairi
Keyword(s):  
Porous Medium ◽  
Cylindrical Tube ◽  
Sound Waves

Application of Mathematical Modeling during Monitoring and Optimization of Non-Stationary Regime of Oil Well

2016 ◽  
Vol 11 (1) ◽  
pp. 53-59
Author(s):  
A.S. Topolnikov
Keyword(s):  
Mathematical Modeling ◽  
Model Problem ◽  
Cylindrical Tube ◽  
Field Measurements ◽  
Stationary Flow ◽  
Stationary Regime ◽  
Oil Well ◽  
Time Duration ◽  
Typical Time ◽  
Radial Model

The paper presents results of modeling of periodical regime of oil well for the purpose of monitoring and optimization of its operation. To describe non-stationary flow in the reservoir a planar-radial model of filtration is employed. The flow of multiphase flux in the well elements (casing, tubing, annulus) is described by 1D Navier-Stoks equations. The pump work is modelled by specification of its rate-head curve. To estimate the typical time duration of the processes in the well and in the reservoir a solution of a model problem for cylindrical tube is given. Through the examples a solution of a problem of optimization of periodical regime of oil wells is demonstrated. The comparison with field measurements is presented.

Boundary element method in numerical study of three-dimensional Stokes flows in channels of arbitrary shape

2012 ◽  
Vol 9 (1) ◽  
pp. 94-97
Author(s):  
Yu.A. Itkulova
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Cross Section ◽  
Numerical Study ◽  
Three Dimensional ◽  
Cylindrical Tube ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Periodic Flows ◽  
Element Method

In the present work creeping three-dimensional flows of a viscous liquid in a cylindrical tube and a channel of variable cross-section are studied. A qualitative triangulation of the surface of a cylindrical tube, a smoothed and experimental channel of a variable cross section is constructed. The problem is solved numerically using boundary element method in several modifications for a periodic and non-periodic flows. The obtained numerical results are compared with the analytical solution for the Poiseuille flow.

Scheme of the computational experiment for the construction of an element of the research stand of the fuel metering unit

2014 ◽  
Vol 10 ◽  
pp. 87-89
Author(s):  
I.Sh. Nasibullayev ◽  
E.Sh. Nasibullaeva ◽  
E.V. Denisova
Keyword(s):  
Fuel Consumption ◽  
Computational Experiment ◽  
Cylindrical Tube ◽  
Viscous Friction ◽  
Periodic Flow ◽  
Objective Functions ◽  
Computing Experiment ◽  
Full Factorial

In this paper, the motion of a piston in a cylindrical tube is numerically studied with influence of dry and viscous friction and spring elasticity. Leading factors for models with dry and viscous friction are determined. A scheme for performing a full factorial computing experiment is proposed, where fuel consumption per unit time and fuel consumption for the period of periodic flow are chosen as objective functions.

scholarly journals Kelvin waves on helical vortex tube in swirling flow

2018 ◽  
Vol 980 ◽  
pp. 012003
Author(s):  
M A Tsoy ◽  
S G Skripkin ◽  
P A Kuibin ◽  
S I Shtork ◽  
S V Alekseenko
Keyword(s):  
Vortex Tube ◽  
Swirling Flow ◽  
Kelvin Waves ◽  
Helical Vortex
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