INVESTIGATION OF LAMINAR FLOW PATTERNS AND PRESSURE GENERATION IN A VISCOSEAL GEOMETRY.
TENNESSEE UNIV KNOXVILLE DEPT OF MECHANICAL AND AEROSPACE ENGINEERING
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The laminar flowfield in a viscoseal geometry is analyzed in three parts 1 The flow in the clearance perpendicular to the grooves and lands 2 the recirculating flow in the groove and 3 the flow across the grooves and lands. The equations that govern the flow in these regions are obtained after an order-of-magnitude analysis of the Navier-Stokes equations written in a non-orthogonal helical coordinate system. The velocity profile across the grooves and lands is assumed to be parabolic. The dividing streamline D.V.S. between the flow over and normal to the groove is taken to be a straight line. Across the D.V.S. the velocity and shear match exactly. The stream function of the flow in the groove is computed for zero Reynolds number. The solution is a finite expansion in suitably chosen eigenfunctions whose coefficients are found by the Ritz-Galerkin method. The flowfield along the groove is coupled to the flow across and in the groove by the convective inertia terms. An approximate expression for the velocity along the groove is given as a finite sine series whose coefficients are computed with the Ritz-Galerkin method. Author
- Fluid Mechanics