 Integral momentum-flux balance for a two-dimensional plume

ID: integral-momentum-flux-balance-for-a-two-dimensional-plume

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

For a steady incompressible plume with localized vertical body force

b (x) δ (y)

, decay of velocity and shear at transverse infinity gives

\frac{d}{d x} \int_{- \infty}^{\infty} ρ u^{2} d y = b (x) .

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