Analytical dynamic model of coefficient of friction of air pipeline under pressure
Vasyl Dmytriv 1  
,  
Ihor Dmytriv 1  
,  
 
 
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1
Lviv Polytechnic National University
2
Lviv National Agrarian University
CORRESPONDING AUTHOR
Vasyl Dmytriv   

Lviv Polytechnic National University
Online publication date: 2019-11-20
Publication date: 2019-11-20
Submission date: 2019-08-20
Acceptance date: 2019-11-18
 
Diagnostyka 2019;20(4):89–94
KEYWORDS
TOPICS
ABSTRACT
To transport of the air in the pipeline, an analytical model is developed that takes into account the gas velocity, its kinematic and dynamic characteristics - density, viscosity depending on the pressure in a given space of the pipeline. The analytical model makes it possible to calculate the coefficient of friction of gas transportation in the pipeline at intervals of the absolute pressure from 220 to 2 KPa and M < 1 Mach numbers, depending on the diameter and length of the pipeline and physical and technological characteristics of the gas. The K1* aspect ratio is proposed, which characterizes in time the ratio of the dynamic force of movement of gas to the static pressure related to the diameter of the pipeline. The coefficient of air friction was modeled according to the vacuum pressure as a parameter of density and air flow. Air flow was taken from 1.917 · 10-3 m3/sec to 44.5 · 10-3 m3/sec respectively, diameters from 0.030 to 0.070 m and Mach number was M = 0.005-0.13. At the pipeline internal diameters of 22, 30, 36 mm accordingly for pressure losses from 2 to 14 kPa the coefficient of air friction varies from 0.006 to 54.527 respectively.
 
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