Pdf Calculations for Swirling Flows
Journal Article - Open Access
Cornell University Ithaca United States
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The demonstrated advantages of the probability density function pdf method over conventional turbulence models have made it a most promising tool for computing the complex flow fields, involving turbulence, mixing, and chemical reaction, encountered in engineering applications, especially practical combustion devices. There are three aspects to the present study i swirling flows, an essential ingredient in practical combustion devices, have not been studied previously with the pdf method. In the present study, the pdf method is extended and applied to a coaxial swirling jet flow and the results are compared with detailed experimental data ii the recently developed stochastic dissipation model Pope and Chen,1990, hitherto applied only to homogeneous turbulence and self-similar flows, is applied to and validated for a general developing shear flow as represented by the coaxial swirling jet flow considered. The results are also compared against computations using a previous model based on the mean dissipation Anand, Pope, and Mongia 1989 iii detailed velocity statistics, conditional upon the jet from which the fluid originated, are calculated and compared against measurements, demonstrating that, in addition to other advantages, the pdf method can provide considerably more description of the flow than conventional models, and yet is computationally tractable. The results are in very good agreement with data.
- Statistics and Probability
- Fluid Mechanics