A progressive correction to the circular hydraulic jump scaling

This document presents theoretical and numerical results of the circular hydraulic jump derived from the inertial lubrication theory [N. O. Rojas, M. Argentina, E. Cerda, and E. Tirapegui, Phys. Rev. Lett. 104, 187801–1187801–4 (2010)]10.1103/PhysRevLett.104.187801. In particular, a correction for the hydraulic jump scaling is obtained. The results depend on subcritical depth, density, and surface tension, in agreement with experimental data at low Reynolds numbers [T. Bohr, C. Ellegaard, A. E. Hansen, and A. Haaning, Physica B 228, 1–10 (1996)10.1016/S0921-4526(96)00373-0; S. H. Hansen, S. Horluck, D. Zauner, P. Dimon, C. Ellegaard, and S. C. Creagh, Phys. Rev. E 55, 7048–7061 (1997)]10.1103/PhysRevE.55.7048.