Direct and Inverse Problems of the Theory of Energy Motion in Hydrodynamics

Abstract

This paper compares two approaches to implementing the Theory of Energy Motion in a medium such as a liquid. The first approach derives the laws of energy motion from the hydrodynamic equations. The second assumes that the equations of liquid motion can be obtained if the experimentally established characteristics of energy motion are known. An approach for conducting the relevant experiments is proposed. The feasibility arises from observing liquid behavior relative to a state of stable equilibrium. A thought experiment considering the propagation of mechanical energy in an infinite channel was based on an analysis of known experiments. It was found that the energy flow occurred as a wave transfer, and the associated fluid movement occurred as a wave. The conclusions drawn from the two approaches differ regarding the convective form of energy motion. It is suggested that the theoretical existence of convective energy transport is a consequence due to the mathematical structure of the hydrodynamic equations. Based on the analysis of experiments, the observation supports the possibility of describing liquid motion in an alternative manner, not constrained by existing formulations. Several examples are presented to illustrate how Newton's laws may be observed in liquid behavior.