The Flowing System Gasdynamics Part 1: On static head in the pipe flowing element

TL;DR

This paper presents a new analytical solution for the distribution of static head in pipe flow, considering gas-liquid interactions and fundamental fluid dynamics laws, applicable to both gas and liquid streams.

Contribution

It introduces a unified analytical expression for static head distribution in pipe flow based on fundamental fluid dynamics principles, accounting for gas-liquid interactions.

Findings

Derived a general solution for static head distribution in gas streams.

Specialized the solution for liquid stream cases.

Provides a theoretical basis for analyzing static head in pipe systems.

Abstract

The solution of problem on distribution of static head along the pipe flowing element is submitted. The solution is reached on the basis of consideration of contact interaction of gas and liquid stream with the wall of the pipe flowing element. The expression for distribution of static head along the pipe flowing element is obtained on the basis of usage of three fundamental laws in fluid dynamics: Torricelli formula, Weissbach-Darcy formula and Bernoulli equation. The general solution is obtained for a gas stream. The special case of the obtained solution is retrieved for liquid stream.