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The inviscid impingement of a jet with arbitrary velocity profile

Phares, Denis J. and Smedley, Gregory T. and Flagan, Richard C. (2000) The inviscid impingement of a jet with arbitrary velocity profile. Physics of Fluids, 12 (8). pp. 2046-2055. ISSN 1070-6631. http://resolver.caltech.edu/CaltechAUTHORS:PHApof00

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Abstract

Accurate determination of wall shear stress and heat and mass transfer rates under an impinging jet requires careful analysis of the boundary layer at the impingement surface due to the large pressure gradients near the stagnation point. Modeling the inviscid flow just outside the boundary layer provides the boundary conditions necessary for such an analysis. Previous inviscid models have considered only a small subset of possible jet velocity profiles and with limited spatial resolution. In the present work, analytical solutions to the stream-vorticity equation for two-dimensional and axisymmetric impingement flow with arbitrary velocity profile are found in terms of a surface integral involving the vorticity function, allowing an iterative determination of the stream function throughout the impingement region. Surface pressure distributions and streamline plots are calculated for various impinging jet configurations, including plane, round, and annular jet nozzles. The calculations show excellent agreement with previous experimental and numerical results, while requiring relatively short computation times. Flow predictions are also made for impinging jet configurations for which no previous data or calculations exist.


Item Type:Article
Additional Information:©2000 American Institute of Physics (Received 24 February 1999; accepted 3 May 2000) This work was supported by the Federal Aviation Administration under Grant No. FAA-93-G-060.
Subject Keywords:jets; heat transfer; mass transfer; boundary layers; nozzles; vortices
Record Number:CaltechAUTHORS:PHApof00
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:PHApof00
Alternative URL:http://dx.doi.org/10.1063/1.870450
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2078
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:06 Mar 2006
Last Modified:26 Dec 2012 08:47

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