The transition from supercritical to subcritical flow around a fully submerged abrupt negative step in horizontal rectangular open channel has been investigated. In laboratory experiment the one-dimensional energy and momentum conservation equations were studied by means of depth pressure measurements piezometers installed along bottom face. Froude number varied range 1.9 5.8 while height criti...

Sewer bend manholes are frequent elements of urban drainage systems. Any deviation straight-lined supercritical flow, as within the manhole, generates shock waves, possibly impinging at manhole end or imposing a hydraulic jump. Then free-surface flow regime abruptly breaks down and backwater effects occur. Thus it is important to know maximum discharge that safely can pass across function its g...

We investigate the initial value problem for some energy supercritical semilinear wave equations. We establish local existence in suitable spaces with continuous flow. We also obtain some ill-posedness/weak ill-posedness results. The proof uses the finite speed of propagation and a quantitative study of the associated ODE. It does not require any scaling invariance of the equation.

We study the stability of the steady waves forced by a moving localised pressure disturbance in water of finite depth. The steady waves take the form of a downstream wavetrain for subcritical flow, but for supercritical flow there is a solution branch for each specified forcing term, which has two localised solitarylike solutions for each Froude number, a small-amplitude and a large-amplitude s...

Computational Fluid Dynamics (CFD) has proven to be a powerful tool to numerically solve the fluid-flow equations so it gives a further insight into the flow pattern of contacting equipment. There has been a fast growing in the study of applications in fluid flow and heat transfer, and several authors have used it to analyze flow patterns in fixed-bed equipment and to predict heat transfer para...

This paper presents the decoupled hydrological discretization (DHD) scheme for solving the shallow water equations in hydrological applications involving surface runoff in rural and urban basins. The name of the scheme is motivated by the fact that the three equations which form the two-dimensional shallow water system are discretized independently from each other and thus, the numerical scheme...

Although the occurrence of steady supercritical disk accretion onto a black hole has been speculated about since the 1970s, it has not been accurately verified so far. For the first time, we previously demonstrated it through two-dimensional, long-term radiation-hydrodynamic simulations. To clarify why this accretion is possible, we quantitatively investigate the dynamics of a simulated supercr...

Supercritical hydraulically controlled overflow of Antarctic Bottom Water from the Weddell Sea has been observed in Orkney Passage during field measurements February 2022. The is main pathway for densest layer flow to Scotia Sea. bottom current overflows sill across passage and flows down crest at 3600 m deeper than 4000 m. descending accelerates because difference height its foot. An estimate ...