A free axisymmetric nonswirling submerged jet of viscous incompressible fluid is considered. For large Reynolds numbers, the unknown constant in the asymptotic Landau-Rumer-Gol'dshtik-Yavorsky solution to the Navier-Stokes equations that describes the far jet field is determined. A similar constant in Loitsyanskii's solution in the boundary layer approximation is found. These constants are expressed in terms of the distribution of velocity in the jet source using a nonlocal conservation law.
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