Turbulent Flow Characteristics in a Model of a Solid Rocket Motor Chamber with Sidewall Mass Injection and End-Wall Disturbance

Table 1

Coefficient for the adopted turbulence models.

	STD k-ɛ model	ETD k-ɛ model	˗f model	SST k-ω
β1	1	1	1	0
β2	0	0	0	0.09
β3	0	0	0	0.0828
σk	1	0.75	1	1
σɛ	1.3	1.15	1.3	0
σω	0	0	0	1.168
Pk	2SijSij	2SijSij	2SijSij	2SijSij
Sij	0.5 (ui,xj + uj,xi)	0.5 (ui,xj + uj,xi)	0.5 (ui,xj + uj,xi)	0.5 (ui,xj + uj,xi)
	Pk	Pk	Pk	min (Pk,10, 10ɛ)
C1ɛ	1.4	1.15	1.4(1 + 0.05(k/)^0.5)	0
C2ɛ	1.92	1.9	1.9	0
C3ɛ	0	0.25	0	0
T	k/ɛ	k/ɛ	max (k/ɛ, 6 (μ/ρɛ)^0.5)	1/ω
μt	ρCμk^2/ɛ	ρCμk^2/ɛ	ρCμT	0.31ρk/max(0.31ω, F(2SijSij)^0.5)
Cμ	0.09	0.09	0.22	0
L	0	0	0.23 max (k^1.5/ɛ, 70 (ɛ^0.25))	0
F2	0	0	0	tanh (D1)^2
D1	0	0	0	((2k^0.5/0.09ωy), 500/ωy^2)
γ1	0	0	0	0.4403
FSST	0	0	0	2.336 (1 − F1) (1/ω) (k,xjω,xj)
F1	0	0	0	tanh (D2)^4
D2	0	0	0	min(max(D1, 4.672ρk/D3y^2))
D3	0	0	0	max (2.336ρ(1/ω) (k,xjω,xj), 1·e^−10)