Abstract <p>For describing the energy, dynamics, and structure of heterogeneous media with a nonuniform distributions of pressure, temperature, and concentrations of substances, the system of fundamental equations (SFE) has been chosen and closed with the equations of state for the Gibbs potential and the velocity of sound. The continuous rearrangement of the fine structure of the spatial distribution of thermodynamic potentials, which reflexes the variability of the supramolecular pattern of associates, is accompanied with the conversion of total energy components that affect the general dynamics and structure of flows. The classification of flow components is based on complete solutions of the linearized and weakly nonlinear form of the system of fundamental equations, which are constructed using consistent methods of the theory of regular and singular perturbations. Numerical solutions to problems on a flow past a plate are found using the open source code software. The results of experimental investigations of the dynamics and geometry of slow diffusion-induced creeping flows, nonstationary internal waves, vortices, and wakes, which have been performed at the setups of the Institute for Problems in Mechanics, Russian Academy of Sciences, are in conformity with calculations. The requirement to metrological characteristics of measuring instruments and techniques for application of high-resolution optical systems are considered, which allows to investigate the dynamics and evolution of the fine spatial structure of heterogeneous fluid flows.</p>