Abstract
Analytical dynamic model of coefficient of friction of air pipeline under pressure
Highlights
For the various fields of instrument-making industry and applied mechanics an actual task is to study the modes of motion of media, such as gas or fluid, which obey Newton's law (Newtonian fluids)
The coefficient of friction depends on the stresses that arise among the layers of the medium in the boundary layer
To develop the analytical dependence of the air friction coefficient, we introduce the М Mach number by dividing both parts of (12) equation by a2 v
Summary
For the various fields of instrument-making industry and applied mechanics an actual task is to study the modes of motion of media, such as gas or fluid, which obey Newton's law (Newtonian fluids). As a rule, when pressure losses were studied, the empirical dependences of the friction coefficients are often used for calculations [3], which is not always consistent with the physics of the process of medium transportation. Other researchers have approximated the experimental data to obtain an empirical equation with high accuracy for determining the friction coefficients, especially for two-phase flows (liquid and gas) [10, 11]. Let us consider the process of air transporting in pipeline under vacuum pressure. To derive the analytical dependence of the coefficient of friction, the important factors are following the speed of movement of the air, its kinematic and dynamic characteristics – density, viscosity, pressure in the medium. To develop the analytical dependence of the air friction coefficient, we introduce the М Mach number by dividing both parts of (12) equation by a2 v.
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