May 1, 2024MeccanicaOpen Access

Modeling of low Mach number unsteady turbulent pipe flows

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Theoretical model reveals linear damped wave dynamics in liquid-filled pipe flows, suggesting reliable prediction of water hammer pressure waves.

Reynolds averaged Navier–Stokes equations simplify to a linear damped wave equation, governing large amplitude pressure waves in low compressibility liquids.
The analytical solution accurately captures transient flow behavior without empirical friction factors, matching experimental data from literature across tests.
Theoretical analysis identifies key dimensionless numbers in turbulent pipe flows, enabling refined modeling of water hammer phenomena under adiabatic conditions.

Nucci et al. (2024) studied this question.

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Theoretical model reveals linear damped wave dynamics in liquid-filled pipe flows, suggesting reliable prediction of water hammer pressure waves.