Fluid Motion Physics: The Total Head Vector of the Real Fluid Stream

TL;DR

This paper introduces a new vector-based concept of total head in viscous fluid streams, providing a better understanding of secondary jet flows and their interaction with the main flow.

Contribution

It proposes a novel vector approach to total head, including radial and tangential components, improving the explanation of secondary jet flow origins and dynamics.

Findings

Total head vector has radial and tangential components.

New expressions for head vector components and deflection angle.

Enhanced understanding of secondary jet flow formation.

Abstract

The overcoming of a mechanics problem on origin of secondary jet flows, on dynamics of its development and interaction with the main stream of the viscous fluid is reached by means of elucidation of the energy distribution in the stream at its interaction with the flow system walls and a body surface. In contrast to a traditional conception on a total head of a fluid stream in a pipe as a sum of a velocity head and a static pressure, it is ascertained that this sum is only longitudinal component of the stream total head vector. It is stated a new conception and it is produced the expressions for quantitative evaluation of radial and tangential components of the stream total head vector and for angle of its deflection from the stream axis. The new approach has allowed rationally to explain the causes of origin of the secondary jet flows and dynamics of its interaction with the main stream in various cases. Thereby with the taking into account of previous articles of the author the necessary theoretical preconditions has been created for a working out of the modern physically valuable apparatus for mathematical modeling of the real - viscous - fluid motion in any problems of hydromechanics and gas dynamics.