2013/12/10 by Bahar Firoozabadi, Firoozabadi, Bahar, Milad Samie +5
Earth and Planetary Sciences · Engineering · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Geological formations and processes #Hydraulic Fracturing and Reservoir Analysis #Hydraulic flow and structures
paper · pdf · doi:10.48550/arxiv.1312.2996
openalex publication_date 2013/12/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we propose an analytical framework for internal hydraulic jumps. Density jumps or internal hydraulic jumps occur when a supper critical flow of water discharges into a stagnant layer of water with slightly different density. The approach used here is control volume method which is also used to analyze ordinary hydraulic jumps. The important difference here is that entrainment is taken into account. Using conservation equations with the aid of some simplifying assumptions we come to an equation that gives jump downstream height as function of jump upstream characteristics and the entrainment. To determine the magnitude of downstream height we use an experimental equation for calculating the entrainment. Finally we verify our framework by comparing the height that we gain from the derived equation with some experimental data.