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ρ Mass <strong>de</strong>nsity, kg/m 3<br />

P<br />

T<br />

V i<br />

τ ik<br />

δ ik<br />

V j<br />

ρ j<br />

q<br />

ϕ<br />

Pressure, Pa<br />

Temperature, K<br />

ith component of the velocity vector<br />

Nomenclature<br />

Viscous stress tensor µ( ∂V i<br />

∂x k<br />

+ ∂V k<br />

∂x i<br />

) − 2 3 µ∂V l<br />

∂x l<br />

δ ik<br />

Kronecker symbol 1 if i = k, 0 else<br />

Bulk velocity in the hole, m/s<br />

Mass <strong>de</strong>nsity in the hole, m/s<br />

Mass flow rate through one hole, g/s<br />

Mass flow rate per total surface unit<br />

U Streamwise velocity, i.e. V 1<br />

V Vertical velocity, i.e. V 2<br />

q<br />

S W<br />

, g/s/m −2<br />

W Spanwise velocity, i.e. V 3<br />

U 1 Streamwise velocity at the center of channel 1<br />

U 2 Streamwise velocity at the center of channel 2<br />

Re<br />

x i<br />

Reynolds number<br />

ith coordinate<br />

x Streamwise coordinate, i.e. x 1<br />

⃗e x Unit vector in the streamwise direction<br />

y Vertical coordinate, i.e. x 2<br />

⃗e y Unit vector in the vertical direction<br />

z Spanwise coordinate, i.e. x 3<br />

⃗n Outward normal vector<br />

S<br />

α<br />

C D<br />

σ<br />

d<br />

h<br />

Subscript<br />

h<br />

j<strong>et</strong><br />

s<br />

W<br />

Wall surface<br />

hole angle with respect to the wall<br />

Discharge coefficient through the plate<br />

Porosity<br />

Aperture diam<strong>et</strong>er, m<br />

Channel height m<br />

Relative to the hole<br />

Relative to the j<strong>et</strong><br />

Relative to the solid part of the perforated plate<br />

Relative to the total perforated plate (aperture and solid part)<br />

1 Relative to channel 1 (injection channel)<br />

2 of 26

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