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Derivation and evaluation of an approximate analysis for three-dimensional viscous subsonic flow with large secondary velocitiesAn approximate analysis is presented for calculating three-dimensional, low Mach number, laminar viscous flows in curved passages with large secondary flows and corner boundary layers. The analysis is based on the decomposition of the overall velocity field into inviscid and viscous components with the overall velocity being determined from superposition. An incompressible vorticity transport equation is used to estimate inviscid secondary flow velocities to be used as corrections to the potential flow velocity field. A parabolized streamwise momentum equation coupled to an adiabatic energy equation and global continuity equation is used to obtain an approximate viscous correction to the pressure and longitudinal velocity fields. A collateral flow assumption is invoked to estimate the viscous correction to the transverse velocity fields. The approximate analysis is solved numerically using an implicit ADI solution for the viscous pressure and velocity fields. An iterative ADI procedure is used to solve for the inviscid secondary vorticity and velocity fields. This method was applied to computing the flow within a turbine vane passage with inlet flow conditions of M = 0.1 and M = 0.25, Re = 1000 and adiabatic walls, and for a constant radius curved rectangular duct with R/D = 12 and 14 and with inlet flow conditions of M = 0.1, Re = 1000, and adiabatic walls.
Document ID
19780025101
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Anderson, O. L. (United Technologies Research Center East Hartford, CT, United States)
Briley, W. R. (United Technologies Research Center East Hartford, CT, United States)
Mcdonald, H. (United Technologies Research Center East Hartford, CT, United States)
Date Acquired
September 3, 2013
Publication Date
October 1, 1978
Subject Category
Aerodynamics
Report/Patent Number
NASA-CR-159430
UTRC78-106
Accession Number
78N33044
Funding Number(s)
CONTRACT_GRANT: NAS3-19752
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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