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A flow field study of an elliptic jet in cross flow using DPIV technique

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Abstract

The digital particle image velocimetry (DPIV) technique has been used to investigate the flow fields of an elliptic jet in cross flow (EJICF). Two different jet orientations are considered; one with the major axis of the ellipse aligned with the cross flow (henceforth referred to as a low aspect ratio (AR) jet), and the other with the major axis normal to the cross flow (henceforth referred to as a high aspect ratio jet). Results show that the vortex-pairing phenomenon is prevalent in the low aspect ratio jet when the velocity ratio (VR)≥3, and is absent in the high aspect ratio jet regardless of the velocity ratio. The presence of vortex pairing leads to a substantial increase in the leading-edge peak vorticity compared to the lee-side vorticity, which suggests that vortex pairing may play an important role in the entrainment of ambient fluid into the jet body, at least in the near-field region. In the absence of vortex pairing, both the leading-edge and the lee-side peak vorticity increase monotonically with velocity ratio regardless of the aspect ratio. Moreover, time-averaged velocity fields for both AR=0.5 and AR=2 jets reveal the existence of an “unstable focus” (UF) downstream of the jet, at least for VR≥2. The strength and the location of this focus is a function of both the velocity ratio and aspect ratio. In addition, time-averaged vorticity fields show a consistently higher peak-averaged vorticity in the low aspect ratio jet than in the high aspect ratio jet. This behavior could be due to a higher curvature of the vortex filament facing the cross flow in the low aspect ratio jet, which through mutual interaction may lead to higher vortex stretching, and therefore higher peak-averaged vorticity.

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Abbreviations

A :

nozzle or jet cross-sectional area

AR:

aspect ratio, defined as the ratio of the nozzle cross-stream dimension to its streamwise dimension, =H/L

D :

characteristic jet diameter (for circular jet only)

D h :

hydraulic diameter, =4A/P

D major :

major axis of an elliptic nozzle

D minor :

minor axis of an elliptic nozzle

H :

cross-stream dimension of the nozzle

L :

streamwise dimension of the nozzle

P :

perimeter of the nozzle

Re j :

jet Reynolds number, =V j D/ν

VR:

velocity ratio, =V j/V

V j :

mean jet velocity

V :

mean cross-flow velocity

x :

downstream distance from jet center

X :

cross-plane vorticity

ν :

kinematic viscosity

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New, T.H., Lim, T.T. & Luo, S.C. A flow field study of an elliptic jet in cross flow using DPIV technique. Exp Fluids 36, 604–618 (2004). https://doi.org/10.1007/s00348-003-0733-7

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