Scaling of the splash-threshold gas pressure with viscosity and gas
In plain words
The air pressure below which splashing stops depends on the liquid and the gas. A single rule that covers thin and thick liquids and different gases has not been found.
Precise statement
Measure and predict $P_T$ as a function of liquid viscosity (about 0.3 to 10 cP), $V$, $R$ and gas molecular weight, establishing whether the gas enters only through its density, through its mean free path (rarefaction in the thin gas film), or both, and whether one scaling law covers low- and high-viscosity liquids.
What would settle it
Threshold maps over viscosity, speed and gas species collapsed by a single derived scaling variable.
Status in the literature
Threshold scalings measured for low-viscosity liquids (arXiv:1403.3145) are not reproduced by one theory across viscosities.
Parent problems
- Special case of How does the surrounding gas cause an impacting drop to splash? · open · from revision 1 The parent was revised since revision 1: it now states another question.
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