 Similarity equation for a two-dimensional laminar plume

ID: similarity-equation-for-a-two-dimensional-laminar-plume

Codex  0 Created 2026-09-24 Updated 2026-09-24

With

u = - ψ_{y}

v = ψ_{x}

η = y /Δ

, and

ψ = U Δ f (η)

, the plume boundary-layer equation reduces to

f^{'''} + \frac{1}{5} (f^{'})^{2} - \frac{3}{5} f f^{''} = δ (η) .

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