Duct flow nonuniformities: effects of struts in SSME HGM II: interim report

Original publisher: Huntsville, AL : Lockheed Missiles & Space Company, Inc., Huntsville Engineering Center ; Marshall Space Flight Center, AL : National Aeronautics and Space Administration, [1988] OCLC Number: (OCoLC)320429045 Excerpt: ... LHSC-HEC TR F225800 Periodic boundary conditions are applied at the lateral boundaries to simulate the effect of a row of struts, such as exists in the HGM. The posts, which are located midway between successive struts ( Fig. 2b ) are treated as no-slip boundary nodes. To date, the posts have been included in two-dimensional laminar calculations only. For the two-dimensional computations uniform static For the pressure and velocity is assumed and held fixed at the inlet. known three-dimensional calculation of a strut in an annulus, a uniform static pressure is held fixed at the inlet. The velocity profile at the inlet is also held constant, with the velocity magnitudes being derived from a power law formulation in the vicinity of the inner and outer no-slip surfaces. 2.5 TURBULENCE MODEL 6 ) A Baldwin-Lomax turbulence model ( Ref. was used to parameterize the turbulent shear stresses for the two-dimensional flow around a strut. In this approach, an eddy viscosity ) ( p is calculated for an inner and an outer t region. The eddy viscosity for the inner region is based on the Prandtl-Van Driest formulation 2 ( 2 ) I W l = P a ' ( t inner where and is the wall shear stress. The magnitude the vorticity is i w l T of W given by The eddy viscosity for the outer region is given by-( 5 ) ' ( ' t ) " cp Fwake Fkleb-outer n L I where F is the smaller of Y F Or wake max max ' wk ' max ' dFmax. 11 CENTER LOCKHEED-HUNTSVILLE ENGINEERING