Accession Number:

AD0874793

Title:

Dilution of a Polymer Additive in a Turbulent Boundary Layer on a Body of Revolution.

Descriptive Note:

Conditional rept.,

Corporate Author:

NAVAL UNDERWATER SYSTEMS CENTER NEWPORT RI

Personal Author(s):

Report Date:

1970-07-15

Pagination or Media Count:

36.0

Abstract:

This paper treats the problem of calcuating wall concentration of a polymer additive injected into a turbulent boundary layer on a body of revolution. The theory requires specification of a similarity law for local concentration as well as a form for the time averaged velocity profile. The chosen concentration law is a generalized form of an empirical profile found valid for the flat plate case. solutions are presented for a 1n power law profile not deemed suitable for polymer seeded flows, and for a generalized logarithmic law of wall corrected by Coles law of wake. the 1n power law leads to a final solution for the boundary layer thickness obtained from the momentum integral equation, which involves a straight-forward numerical quadrature dependent upon the geometry of the body. Assuming the generalized profile leads to a nonlinear differential equation for the shear velocity related to the boundary layer thickness requires a numerical solution. In nearly cylindrical regions, the solution of this equation simplifies to a quadrature dependent only on a boundary condition and on a polymer constant in the velocity profile. In each case, the dilution law, while appearing complicated, depends on a one-time evaluation of several special functions using values of the constants appearing in the assumed profiles. Author

Subject Categories:

  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE