Publication: Aerodynamics of planar counterflowing jets
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2017-05-16
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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 1 and
L/H 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.
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Keywords
General fluid mechanics, Jets, Laminar reacting flows
Bibliographic citation
Weiss, A. D., Coenen, W., & Sánchez, A. L. (2017). Aerodynamics of planar counterflowing jets. Journal of Fluid Mechanics, 821, 1–30.