Hydraulic/Shock-Jumps in Protoplanetary Disks

... of breaking waves can be understood by recognizing two effects: When the gas crosses the shock front, the shock-normal component of a fluid element’s velocity will be diminished by a factor given by the inverse of equation (3), while the tangential component will be preserved, allowing the flow to b ...

... of breaking waves can be understood by recognizing two effects: When the gas crosses the shock front, the shock-normal component of a fluid element’s velocity will be diminished by a factor given by the inverse of equation (3), while the tangential component will be preserved, allowing the flow to b ...

On the proceeding of a saturation front under ponded

... SLUG, 2003; Huber et al., 2003; Sommer and Ullrich, 2004; Kreibich and Thieken, 2008). In this case, not only bank storage effects (Freeze, 1972) were responsible for water inflow from the river into the adjacent aquifers, but also vertical infiltrations from inundated areas contributed considerably ...

... SLUG, 2003; Huber et al., 2003; Sommer and Ullrich, 2004; Kreibich and Thieken, 2008). In this case, not only bank storage effects (Freeze, 1972) were responsible for water inflow from the river into the adjacent aquifers, but also vertical infiltrations from inundated areas contributed considerably ...

E-Modul

... laboratory core flow, which is far below the limit of turbulent flow. In case of reservoir flow, the ”normal” reservoir flow velocity is ca. 1 foot/day or 3,5m / s , which indicate that turbulent liquid flow under reservoir conditions is not very likely to occur. For gas, turbulent flow may occur i ...

... laboratory core flow, which is far below the limit of turbulent flow. In case of reservoir flow, the ”normal” reservoir flow velocity is ca. 1 foot/day or 3,5m / s , which indicate that turbulent liquid flow under reservoir conditions is not very likely to occur. For gas, turbulent flow may occur i ...

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... characterized with low velocities, very little mixing, and sometimes high fluid viscosity. When a fluid’s flow profile has a Reynolds number between 2000 and 4000, it is in a transitional zone. A Reynolds number above 4000 is called turbulent flow. This is characterized by high velocity, low viscosi ...

... characterized with low velocities, very little mixing, and sometimes high fluid viscosity. When a fluid’s flow profile has a Reynolds number between 2000 and 4000, it is in a transitional zone. A Reynolds number above 4000 is called turbulent flow. This is characterized by high velocity, low viscosi ...

Chapter 3: Channel Controls

... If the entrance is not properly shaped, a contraction of the jet occurs as in sketches a, c and h, and the area of the jet is not as great as the area of the orifice or tube. For properly rounded approaches to orifices as in sketches b and e, and the constant diameter short tubes, the diameter of th ...

... If the entrance is not properly shaped, a contraction of the jet occurs as in sketches a, c and h, and the area of the jet is not as great as the area of the orifice or tube. For properly rounded approaches to orifices as in sketches b and e, and the constant diameter short tubes, the diameter of th ...

Viscous Dissipation Effects For Liquid Flow In Microchannels

... density, _ is the viscosity of the fluid, and cp is the specific heat capacity at constant pressure. In the above governing equations, the conservation of energy equation ( 4) is also considered not because of the existence of any external heat source, but because energy comes from the viscous effec ...

... density, _ is the viscosity of the fluid, and cp is the specific heat capacity at constant pressure. In the above governing equations, the conservation of energy equation ( 4) is also considered not because of the existence of any external heat source, but because energy comes from the viscous effec ...

Introduction of compressible flow

... entropy, s, has to be introduced. The entropy basically places limitations on which flow processes are physically possible and which are physically excluded. The entropy change between any two points in the flow is given by ; ...

... entropy, s, has to be introduced. The entropy basically places limitations on which flow processes are physically possible and which are physically excluded. The entropy change between any two points in the flow is given by ; ...

PPT Version

... – C. Estan, and G. Varghese: “New directions in traffic measurement and accouning”, SIGCOMM 2002 ...

... – C. Estan, and G. Varghese: “New directions in traffic measurement and accouning”, SIGCOMM 2002 ...

Three-dimensional traveling-wave solutions in

... phase space dynamics. Recently, other types of finite amplitude steady solutions @2,3# in plane Couette flow are found numerically by extending a two-dimensional solution branch bifurcating from a laminar plane Poiseuille flow to the plane Couette flow region. None of the experimental counterparts o ...

... phase space dynamics. Recently, other types of finite amplitude steady solutions @2,3# in plane Couette flow are found numerically by extending a two-dimensional solution branch bifurcating from a laminar plane Poiseuille flow to the plane Couette flow region. None of the experimental counterparts o ...

Slide 1

... It will be seen, therefore, that at high Mach numbers, the temperature rise across a normal shock may be high enough to cause specific heat changes, dissociation, and, at very high Mach numbers, ionization. As a result of these processes, conventional shock relations do not apply. For example, as a ...

... It will be seen, therefore, that at high Mach numbers, the temperature rise across a normal shock may be high enough to cause specific heat changes, dissociation, and, at very high Mach numbers, ionization. As a result of these processes, conventional shock relations do not apply. For example, as a ...

ent 257/4 fluid mechanics

... Streamlines, Pathlines and Streaklines A streamline in a fluid flow is a line tangent to which at any point is in the direction of velocity at that point at that instant. • Streamlines are, therefore, equivalent to an instantaneous snap-shot indicating the directions of velocity in the entire flow ...

... Streamlines, Pathlines and Streaklines A streamline in a fluid flow is a line tangent to which at any point is in the direction of velocity at that point at that instant. • Streamlines are, therefore, equivalent to an instantaneous snap-shot indicating the directions of velocity in the entire flow ...

# Hydraulic jumps in rectangular channels

Hydraulic jump in a rectangular channel, also known as classical jump, is a natural phenomenon that occurs whenever flow changes from supercritical to subcritical flow. In this transition, the water surface rises abruptly, surface rollers are formed, intense mixing occurs, air is entrained, and often a large amount of energy is dissipated. In other words, a hydraulic jump happens when a higher velocity, v1, supercritical flow upstream is met by a subcritical downstream flow with a decreased velocity, v2, and sufficient depth. Numeric models created using the Standard Step Method or HEC-RAS are used to track supercritical and subcritical flows to determine where in a specific reach a hydraulic jump will form. There are common hydraulic jumps that occur in everyday situations such as during the use of a household sink. There are also man-made hydraulic jumps created by devices like weirs or sluice gates. In general, a hydraulic jump may be used to dissipate energy, to mix chemicals, or to act as an aeration device.To produce equations describing the jump, since there is an unknown energy loss, there is a need to apply conservation of momentum. To develop this equation, a general situation in which there may or may not be an energy loss between upstream and downstream, and there may or may not be some obstacle on which there is a drag force Pf is considered. however, for a simple or classic hydraulic jump the force per unit width(Pf) equals 0. From there the momentum equation, and the conjugate depths equation can be derived.