Open AccessOn the added mass in a viscous incompressible fluid
Author(s) -
G. Ya. Dynnikova,
Г.Я. Дынникова
Publication year - 2019
Publication title -
doklady akademii nauk. rossijskaâ akademiâ nauk
Language(s) - English
Resource type - Journals
ISSN - 0869-5652
DOI - 10.31857/s0869-56524885493-497
Subject(s) - physics , vorticity , acceleration , compressibility , classical mechanics , velocity vector , added mass , mechanics , tensor (intrinsic definition) , flow (mathematics) , incompressible flow , constant (computer programming) , viscosity , space (punctuation) , viscous stress tensor , distribution (mathematics) , cauchy stress tensor , mathematical analysis , geometry , mathematics , vortex , thermodynamics , quantum mechanics , computer science , vibration , programming language , linguistics , philosophy
It is proved that at the same instantaneous distribution of the flow velocity of a viscous incompressible fluid, the forces acting on a body moving with acceleration differ from forces acting on the body moving with constant velocity by a vector, which is equal to the added masses tensor multiplied by the acceleration vector. The tensor of the added masses coincides with the tensor calculated for potential flows with the same geometry of the body and surrounding surfaces, and does not depend either on viscosity or on the distribution of vorticity in the flow space. While the force corresponding to the motion with constant velocity depends on the history of movement.