An Inverse Solution Procedure for Turbulent Swirling Boundary Layer Combustion Flow
Abstract
A detailed description is presented of the mathematical and computational aspects of the general inverse solution procedure developed for turbulent swirling boundary layer combustion flow. The situation is that a nonrecirculating swirling turbulent flame in which experimental timemean measurements of the axial and swirl velocities ν_{z} and ν_{θ}, temperature T and chemical species concentrations m_{j} have been made. The problem is to calculate the distributions of the significant turbulent momentum, enthalpy and chemical species' flux components ( τ_{rz}, τ_{rθ}, ( J_{h}) _{r} and ( J_{i}) _{r}) and associated exchange coefficients, Prandtl and Schmidt numbers. A solution is provided by the inverse solution TEXCO code; it provides a link between mean measurements and certain correlations of turbulent fluctuation components and throws light on the appropriateness or otherwise of any given turbulence model for the flow under consideration. The method is applied to both isothermal and chemically reacting flows, and calculations show that previous assumptions of isotropy of the turbulent stress tensor and constancy of PrandtlSchmidt numbers are not generally valid. The exchange coefficients are shown to be functions of the degree of swirl and position in the flowfield. For the isothermal case, it is shown that the assumption of an isotropic uniform mixing length parameter distribution is quite feasible for weak swirl but is progressively less valid as the degree of swirl increases. For the flame case, similar results are obtained and the turbulent viscosity is found to be highly nonisotropic.
 Publication:

Journal of Computational Physics
 Pub Date:
 April 1972
 DOI:
 10.1016/00219991(72)900216
 Bibcode:
 1972JCoPh...9..237L