A LINEARIZED ANALYSIS OF MASS-TRANSFER EFFECTS ON CONFINED LAMINAR VORTEX FLOWS,
Abstract
A theoretical analysis of mass transfer effects on confined laminar vortex flows is presented, with emphasis on the structure of the flow at the limits of very large and very small rotational Reynolds number. For large Reynolds number, a linearized theory is formulated for a swirl chamber of arbitrary smooth configuration, within the limitation of axisymmetric flow, based on the boundary layer model introduced by Proudman. The method of solution is illustrated by applying it to special types of mass transfer in a spheroidal swirl chamber. The theory reveals that the mass is transferred from an annular injector ring to an axial exit nozzle partly by 'surface flow' in the boundary layer and partly by helical flow through the body of the inviscid core. For mass transfer unsymmetric with respect to the equatorial plane, a viscous jet along the axis of symmetry completes the circuit. For small Reynolds number, the Stokes-flow theory is applied to the case of a spherical swirl chamber and exact solutions are obtained for the complete flow field for arbitrary mass-transfer distribution. Numerical results are obtained for an equatorial injector band with axial exit nozzle, and comparison is made with corresponding results for the high Reynolds number case. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1968
- Accession Number
- AD0674612
Entities
People
- Odus R. Burggraf
Organizations
- Ohio State University