Abstract

A numerical solution procedure for ducted, recirculating flows has been developed and applied to predict both turbulent pipe flow and ducted, coaxial jet mixing with recirculation. The solution procedure is based on a decay-function, finite-difference formulation applied to a system of governing equations based on stream functions and vorticity. The vorticity governing equation is complete in that no source terms have been deleted or neglected in its derivation from the Navier-Stokes equations. Boundary values for all dependent variables are defined by physically realistic conditions. Solutions obtained indicate that the accuracy of the solution procedure depends on having an accurate turbulent viscosity model. (Author)."December 1978.""Final Report: October 1, 1977 -- February 28, 1978."Includes bibliograpic references (pages 23-24).A numerical solution procedure for ducted, recirculating flows has been developed and applied to predict both turbulent pipe flow and ducted, coaxial jet mixing with recirculation. The solution procedure is based on a decay-function, finite-difference formulation applied to a system of governing equations based on stream functions and vorticity. The vorticity governing equation is complete in that no source terms have been deleted or neglected in its derivation from the Navier-Stokes equations. Boundary values for all dependent variables are defined by physically realistic conditions. Solutions obtained indicate that the accuracy of the solution procedure depends on having an accurate turbulent viscosity model. (Author).Report supported by the Air Force Systems Command and prepared by ARO, Inc, under Program Element,Mode of access: Internet

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