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Title: Viscous-inviscid interaction with higher-order viscous-flow equations

Thesis/Dissertation ·
OSTI ID:5249086

The partially parabolic, or parabolized, Navier-Stokes equations for laminar flow, and the corresponding Reynolds equations for turbulent flow, are coupled with an inviscid-flow solution procedure to develop a viscous inviscid interaction method for three-dimensional flow that cannot be treated by means of the classical boundary-layer equations. This study provides a detailed overview of the approach for general three-dimensional flows and presents results of applications to some test cases. The Reynolds equations are derived in nonorthogonal curvilinear coordinates, with velocity components along the coordinate directions, using vector techniques. This approach differs from the commonly-used tensor methods but serves to establish a connection with the more-familiar boundary-layer methods. The K-epsilon model is used for turbulent flows. The partially-parabolic viscous-flow equations are solved using an implicit finite-difference scheme and the SIMPLER algorithm for pressure-velocity coupling. The inviscid-flow solutions are obtained with a conforming panel, source-panel method. Interaction between the viscous and inviscid regions is accounted for using the displacement-body concept.

Research Organization:
Iowa Univ., Iowa City (USA)
OSTI ID:
5249086
Resource Relation:
Other Information: Thesis (Ph. D.)
Country of Publication:
United States
Language:
English