On the asymptotic behavior of a steady flow of viscous fluid at some distance from an immersed body: PMM vol. 37, n≗4, 1973, pp. 690–705

Abstract

The steady flow of a viscous incompressible fluid past a body of finite dimensions is considered. It is assumed that the velocity vector u satisfies condition u− u ∞ = O ( R − α ) where u ∞ is the velocity vector of the oncoming stream, R is the distance from a fixed point of the body, and α > 1 2 . Terms defining the asymptotic behavior of velocity of the order of O( R −1) and O(R − 3 2 ) are determined and an estimate of the residual term is given. The derived asymptotic formula for the velocity vortex shows that outside the wake the vortex decreases according to an exponential law.