Turbulent Jet Entrainment & Free Shear Layer

Self-similar profiles, entrainment rate, and Tollmien spreading angle

Jet Parameters

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Self-Similar Quantities

Half-width b(x)
Centerline U
Entrainment rate
Re_jet

Centerline decay:

U_c(x) = U_j·(x_0/x)^(1/2)·(B·D/x)^(1/2)

Self-similar profile:

U(η) = U_c·exp(−η²/2), η=y/b(x)

Spreading: b(x) = K·x

Entrainment: dQ/dx = α·Q/x

Momentum: J = ∫ρU² dy = const (Tollmien)