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Offset jet ejection angle effect in combined wall and offset jets flow: numerical investigation and engineering correlations

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Abstract

The present paper deals with a numerical study of turbulent flow which combines a wall jet and parallel offset jet. A parametric study was presented to pick out the offset ratio as well as the offset jet ejection angle influence on the merge point, combined point, upper vortex center and lower vortex center positions. Empirical correlations have been provided as a function of the offset ratio and the ejection angle. The main results obtained from the present investigation show that increasing the ejection angle displaces the merge point, the combined point and the vortices centers more upstream along the axial direction which accelerate the merging process launching. Furthermore, for higher value of the ejection angle, these mentioned points approach the horizontal wall along the lateral direction.

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Abbreviations

d :

Nozzle width (m)

e :

Grid expansion ratio

h :

Offset ratio (m)

H :

Dimensionless offset ratio \(H = \frac{h}{d}\)

I :

Turbulence intensity (%)

k :

Turbulent kinetic energy (m²/s²)

l :

Nozzle length (m)

Re :

Reynolds number \(Re = \frac{{u_{0} d}}{\upsilon }\)

s :

Grid spacing

u :

Axial velocity (m/s)

U :

Dimensionless axial velocity \(U = \frac{u}{{u_{0} }}\)

v :

Lateral velocity (m/s)

V :

Dimensionless lateral velocity \(V = \frac{v}{{u_{0} }}\)

x :

Axial coordinates (m)

X :

Dimensionless axial coordinates \(X = \frac{x}{d}\)

y :

lateral coordinates (m)

Y :

Dimensionless lateral coordinates

\(\mu\) :

Dynamic viscosity (kg/ms)

\(\upsilon\) :

Kinematic viscosity (m²/s)

\(\rho\) :

Fluid density (kg/m3)

\(\alpha\) :

Offset jet ejection angle (OJEA)

0:

Exit value (at the nozzle exit)

a :

Ambient value

m :

Maximum value

t :

Turbulent value

WOJ:

Wall offset jet

LWJ:

Lower wall Jet

UOJ:

Upper offset jet

SOJ:

Single offset Jet

UVC:

Upper vortex center

LVC:

Lower vortex center

MP:

Merge point

CP:

Combined point

OJEA:

Offset jet ejection angle

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Correspondence to Lioua Kolsi.

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Technical Editor: Daniel Onofre de Almeida Cruz, D.Sc.

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Hnaien, N., Marzouk, S., Kolsi, L. et al. Offset jet ejection angle effect in combined wall and offset jets flow: numerical investigation and engineering correlations. J Braz. Soc. Mech. Sci. Eng. 41, 479 (2019). https://doi.org/10.1007/s40430-019-1982-6

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  • DOI: https://doi.org/10.1007/s40430-019-1982-6

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