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Aerodynamics of planar counterflowing jets

Published online by Cambridge University Press:  16 May 2017

A. D. Weiss Open the ORCID record for A. D. Weiss [Opens in a new window] ,
W. Coenen Open the ORCID record for W. Coenen [Opens in a new window]  and
A. L. Sánchez
A. D. Weiss*
Affiliation:
Department of Mechanical and Aerospace Engineering, University of California San Diego, La Jolla, CA 92093–0411, USA
W. Coenen
Affiliation:
Department of Mechanical and Aerospace Engineering, University of California San Diego, La Jolla, CA 92093–0411, USA
A. L. Sánchez
Affiliation:
Department of Mechanical and Aerospace Engineering, University of California San Diego, La Jolla, CA 92093–0411, USA
*
†Email address for correspondence: [email protected]
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Abstract

The planar laminar flow resulting from the impingement of two gaseous jets of different density issuing into an open space from aligned steadily fed slot nozzles of semi-width $H$ separated by a distance $2L$ is investigated by numerical and analytical methods. Specific consideration is given to the high Reynolds and low Mach number conditions typically present in counterflow-flame experiments, for which the flow is nearly inviscid and incompressible. It is shown that introduction of a density-weighted vorticity–streamfunction formulation effectively reduces the problem to one involving two jets of equal density, thereby removing the vortex-sheet character of the interface separating the two jet streams. Besides the geometric parameter $L/H$, the solution depends only on the shape of the velocity profiles in the feed streams and on the jet momentum-flux ratio. While conformal mapping can be used to determine the potential solution corresponding to uniform velocity profiles, numerical integration is required in general to compute rotational flows, including those arising with Poiseuille velocity profiles, with simplified solutions found in the limits $L/H\ll 1$ and $L/H\gg 1$. The results are used to quantify the near-stagnation-point region, of interest in counterflow-flame studies, including the local value of the strain rate as well as the curvature of the separating interface and the variations of the strain rate away from the stagnation point.

JFM classification

Mathematical Foundations: General fluid mechanics Wakes/Jets: Jets Reacting Flows: Laminar reacting flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 821 , 25 June 2017 , pp. 1 - 30
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Copyright
© 2017 Cambridge University Press 

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