Abstract
Abstract In spite of the rapid advances in both scalar and parallel computational tools, the large number and breadth of variables involved in both design problems make the use of sophisticated fluid flow models impractical. With this restriction, it may be concluded that reduced or approximate models remain important. In this paper, semi-algebraic turbulence models that describe forced vortical interactions using a simple kinematic wave analogy are developed. Semi-algebraic refers to formulations based upon explicit solutions of associated model governing equations. These turbulence models have been employed in a combined analytic/numeric ejector-nozzle model. The numerical portion of the model uses a compact finite difference scheme to obtain high accuracy with three-point support, while the analytical sections have been developed to resolve singular behavior that is inherent to this flow. Solutions and comparison to aerodynamic nozzle data are presented to illustrate this methodology.
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