Differential Fluid Mechanics: Instrument for Consistent Analytical and Laboratory Studies of Flows

Abstract

Compatible analytical, numerical and laboratory investigations of flows was performed basing on the fundamental set, including equations of state, transport of mass, momentum, energy and concentrations of constituents. Difference of a "solid body motion" and "fluid flow" concepts is discussed taking into account unobservability of a "fluid particle". The set was analysed taking into account the condition of compatibility prescribing the rank of fundamental equations set and the order of its linearized version defining the (minimal) number of independent function in the complete solutions. Theory of singular perturbation used to construct the hierarchy of models of infinitesimal periodic flows. Regular part of solutions describe waves, supplementing families of singular perturbed solutions describe the flow structures. Calculations of periodic internal wave beams generation by oscillating sources and propagation in a fluid with an arbitrary profile of buoyancy compared with images of schlieren visualization.