Shallow-Water Theory and Channel Flow with Hydraulic Jump: Non-Steady Consideration

Hydraulic Flow through a Channel Contraction: Multiple Steady States

Fig. 3. Plus signs: smooth flows (ii); squares: upstream moving shocks (iii); diamonds: steady shocks (iii); circles: oblique waves (i). Solid stars: flows with three possible states for different configurations and paddle lengths. Indicative error bars. • Three multiple steady states in regions (i/iii/iv): Fig. 4. Multiple states: F0 = 3.07 & Bc = 0.7. Left to right: upstream steady shock (iii...

Bubbly flow structure in hydraulic jump

In an open channel, a hydraulic jump is the rapid transition from superto sub-critical flow associated with strong turbulence and air bubble entrainment in the mixing layer. New experiments were performed at relatively large Reynolds numbers using phase-detection probes. Some new signal analysis provided characteristic air–water time and length scales of the vortical structures advecting the ai...

Transcritical shallow-water flow past topography: finite-amplitude theory

We consider shallow-water flow past a broad bottom ridge, localized in the flow direction, using the framework of the forced Su–Gardner (SG) system of equations, with a primary focus on the transcritical regime when the Froude number of the oncoming flow is close to unity. These equations are an asymptotic long-wave approximation of the full Euler system, obtained without a simultaneous expansi...

Steady Mixed Convection Flow of Water at 4◦C Along A Non-Isothermal Vertical Moving Plate with Transverse Magnetic Field

Experimental Study of the Air-water Shear Flow in a Hydraulic Jump

Although the hydraulic jump has been investigated experimentally for nearly two centuries, little information is known of the air-water flow properties in the shear region. New experiments were performed in a horizontal channel with partially-developed inflow conditions. Distributions of air concentration, mean air-water velocity and bubble frequency were recorded and presented herein. The resu...