Author(s): Sergei Sokolov
Linked Author(s):
Keywords: Unsteady flow; Long wave; Flow velocity; Wave velocity; Density of energy; Energy flow
Abstract: The theory of energy motion offers a new perspective for analyzing fluid dynamics. The direct problem of the theory involves deriving the laws of fluid motion based on the principles governing energy motion in a fluid. The approach to solving the direct problem is grounded in the fundamental physical principle that a system in stable equilibrium possesses minimal energy. The foundational examples in the implementation of the theory are primarily associated with cases of unsteady fluid motion, although its applicability is not limited to them. The paper presents information on the principles for implementing the direct problem of the theory, the the principles of energy indication within a fluid, and the forms of energy flow. Within this framework, the structure of long waves in channels becomes significant. The wave is a flow of energy moving in the form of a sequence of planar waves. Some theoretical results obtained for simplified cases of long-wave propagation in infinitely long horizontal channels pertain to the characteristics of such waves, namely, wave velocity and flow velocity. It is noted how wave propagation is influenced by the shape of the channel's cross-section. The unresolved issues highlighted concern the need to establish governing relationships for fluid motion under conditions commonly encountered in practice.
Year: 2025