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http://www.inase.org/conferences/2017/athens/Program.pdf CONSISTENT ANALYTICAL, NUMERICAL AND LABORATORY MODELLING OF FLOWS AROUND OBSTACLES Yuli D. Chashechkin A.Yu. Ishlinskiy Institute for Problems in Mechanics RAS Investigation of flow formation after starting of a body motion performed basing on the system of fundamental equations. Stratified (strong and weak) and homogeneous (potential and actual) fluids at rest were used as basic medium in experiments performed on stands of unique facility and supercomputer’s calculations. The coupled system of differential equations for momentum, energy and concentrations of impurities was supplemented by closing equations for density and Gibbs potential together with physically based boundary conditions. Basic spatial and temporal scales of the system were defined and used for construction of similarity criteria, used for comparison of theoretical and experimental data. Evolution of flows around a horizontal strip, wedge or cylinder and sphere were studied. A fine structure of upstream disturbances, internal waves, running and attached vortices, downstream wakes was investigated in a wide range of the flow parameters including diffusion induced flows on motionless obstacles and transient vortex regimes at large values of Reynolds numbers. Observed and computed flow patterns are in good agreement with each other as a whole and in individual details. The transfer the results on flows in the environment and around moving bodies in water and air are discussed.