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Laminar plume

For a steady incompressible plume with localized vertical body force $b(x)\delta(y)$, decay of velocity and shear at transverse infinity gives
$$
\frac{d}{dx}\int_{-\infty}^{\infty}\rho u^2\,dy=b(x).
$$


Integral momentum-flux balance for a two-dimensional plume

Past exam of the mathematics course of the University of Cambridge / 2025 / ii / Paper 3 / 38D / a / Solution

Integral momentum-flux balance for a two-dimensional plume

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Integral momentum-flux balance for a two-dimensional plume

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