Geodesic
Numerical simulation of the oscillations of the elements of the pipe with the flow of an incompressible fluid
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ Vyčislitelʹnaâ matematika i informatika, Tome 7 (2018) no. 3, pp. 55-64

Voir la notice de l'article provenant de la source Math-Net.Ru

Monitoring of fluid flow in pipelines is an actual and practically significant task. The control is carried out by means of Coriolis flowmeters, the principle of which is based on the phase difference fluctuations of the pipe sections. Of particular interest is the process of transverse vibrations of a straight pipe through which the flow of an incompressible fluid moves. This paper presents a mathematical model of the vibration of a straight section of a pipe with an incompressible fluid flow subjected to external impulse action. Numerical simulation is based on the finite difference analogue. Computational experiments were carried out to determine the transverse vibrations of the elements of a straight pipe on the results of dynamic measurements. According to the results of computational experiments, graphical dependencies for deviations of straight pipe elements with rigid fastening at the ends are presented. The influence on the fluctuations of the fluid flow pipe (velocity, mass), the pulse action, as well as the parameters of the pipe are studied.
Mots-clés : transverse vibrations of a pipe
Keywords: the flow of an incompressible fluid, impulse impact. 
@article{VYURV_2018_7_3_a3,
     author = {L. A. Prokudina and N. M. Yaparova and M. P. Vikhirev},
     title = {Numerical simulation of the oscillations of the elements of the pipe with the flow of an incompressible fluid},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a Vy\v{c}islitelʹna\^a matematika i informatika},
     pages = {55--64},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURV_2018_7_3_a3/}
}
TY  - JOUR
AU  - L. A. Prokudina
AU  - N. M. Yaparova
AU  - M. P. Vikhirev
TI  - Numerical simulation of the oscillations of the elements of the pipe with the flow of an incompressible fluid
JO  - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ Vyčislitelʹnaâ matematika i informatika
PY  - 2018
SP  - 55
EP  - 64
VL  - 7
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VYURV_2018_7_3_a3/
LA  - ru
ID  - VYURV_2018_7_3_a3
ER  - 
%0 Journal Article
%A L. A. Prokudina
%A N. M. Yaparova
%A M. P. Vikhirev
%T Numerical simulation of the oscillations of the elements of the pipe with the flow of an incompressible fluid
%J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ Vyčislitelʹnaâ matematika i informatika
%D 2018
%P 55-64
%V 7
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VYURV_2018_7_3_a3/
%G ru
%F VYURV_2018_7_3_a3
L. A. Prokudina; N. M. Yaparova; M. P. Vikhirev. Numerical simulation of the oscillations of the elements of the pipe with the flow of an incompressible fluid. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ Vyčislitelʹnaâ matematika i informatika, Tome 7 (2018) no. 3, pp. 55-64. http://geodesic.mathdoc.fr/item/VYURV_2018_7_3_a3/