Surface tension, not gravity, governs circular hydraulic jumps at kitchen-sink scales
High-Re experiments and simulations demonstrate surface-tension control of the circular hydraulic jump; a critical flow-rate threshold marks the transition to gravity influence. Direct thickness measurements and validated numerics provide the first unambiguous dimensionless-parameter map for kitchen-sink conditions.
Mallik et al. measured film thickness inside and outside the jump using laser-induced fluorescence and capacitance probes while varying jet flow rate, nozzle height, and fluid properties. These data supplied direct estimates of local Weber, Froude, and Reynolds numbers. Matched volume-of-fluid simulations reproduced the measured jump radius and height profiles to within 5 percent, confirming that surface tension sets the jump location once inertia and viscosity are accounted for. A critical dimensionless flow rate was identified beyond which gravity regains influence and the jump radius scales differently. The work supplies the first quantitative separation of surface-tension versus gravity regimes for the axisymmetric hydraulic jump under realistic sink conditions. Prior analytic models assumed gravity dominance; the new measurements overturn that assumption for typical household flows. Extension to non-Newtonian or surfactant-laden liquids would test whether the Weber-order-unity criterion remains universal.
Mallik et al.: Jump radius will deviate from surface-tension scaling by >15 percent when jet Reynolds number drops below 400 at fixed Bond number <0.1 within 18 months of follow-up experiments.
Sources (2)
- [1]Primary Source(https://arxiv.org/abs/2609.22403)
- [2]Supporting Source(https://doi.org/10.1017/jfm.2023.123)