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Numerical analysis of Chevron nozzle effects on performance of the supersonic ejector-diffuser system

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Abstract

The supersonic nozzle is the most important device of an ejector-diffuser system. The best operation condition and optimal structure of supersonic nozzle are hardly known due to the complicated turbulent mixing, compressibility effects and even flow unsteadiness which are generated around the nozzle extent. In the present study, the primary stream nozzle was redesigned using convergent nozzle to activate the shear actions between the primary and secondary streams, by means of longitudinal vortices generated between the Chevron lobes. Exactly same geometrical model of ejector-diffuser system was created to validate the results of experimental data. The operation characteristics of the ejector system were compared between Chevron nozzle and conventional convergent nozzle for the primary stream. A CFD method has been applied to simulate the supersonic flows and shock waves inside the ejector. It is observed that the flow structure and shock system were changed and primary numerical analysis results show that the Chevron nozzle achieve a positive effect on the supersonic ejector-diffuser system performance. The ejector with Chevron nozzle can entrain more secondary stream with less primary stream mass flow rate.

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Abbreviations

A :

cross-sectional area of primary stream nozzle exit (m2)

D :

diameter (mm)

L :

length (mm)

C p :

specific heat (J/kg K)

D ω :

cross-diffusion

E :

energy (J/kg)

G k , G ω :

generation of k and ω

k :

turbulent kinetic energy (m2/s2)

M :

Mach number at primary nozzle exit

P :

pressure (Pa)

P d :

dynamic pressure (Pa)

Ps :

static pressure (or static pressure at nozzle exit if no subscript) (Pa)

P t :

total pressure (Pa)

ΔP :

pressure recovery

R :

gas constant (J/kg K)

Re :

Reynolds number

Rm :

entrainment ratio

S :

strain rate magnitude

S k , S ω :

user-defined source

T :

temperature (K)

Ts :

static temperature (K)

T t :

total temperature (K)

t :

time (s)

u i :

velocity components (m/s)

\(\overline {u'_i } ,u'_i \) :

mean and fluctuating velocity components (m/s)

\(\overline {u'_i u'_j } \) :

Reynolds-stress tensor

V :

velocity of primary stream (m/s)

x, y, z :

Cartesian coordinates

Y k , Y ω :

dissipation of k and ω

y + :

non-dimensional distance

α :

thermal conductivity (W/m K)

γ :

ratio of specific heats

δij :

Kronecker symbol

ṁ:

mass flow rate (or mass flow rate at nozzle exit if no subscript)(kg/s)

ρ :

density (kg/m3)

Γ k , Γ ω :

effective diffusivity of k and ω

τ ij :

stress tensor

µt :

turbulent viscosity (kg/m s)

µ:

dynamic viscosity (Pa s)

µeff :

effective viscosity (kg/m s)

ω :

specific dissipation rate (m2/s3)

1 :

1st: values at nozzle exit

2 :

2nd: values at secondary stream inlet

e,E :

exit of the supersonic ejector-diffuser system

i, j :

unit vectors along x and y directions

M :

mixing chamber

D :

diffuser section

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Kong, F., Jin, Y., Setoguchi, T. et al. Numerical analysis of Chevron nozzle effects on performance of the supersonic ejector-diffuser system. J. Therm. Sci. 22, 459–466 (2013). https://doi.org/10.1007/s11630-013-0648-4

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