Strong Jump

A strong jump is a sharp transition in open-channel flow from rapidly moving, shallow supercritical water to deeper, slower subcritical water, producing substantial energy dissipation. It forms when the incoming flow has a high Froude number and conservation of mass and momentum requires a sudden increase in depth; turbulence, surface rollers, and air entrainment convert much of the flow’s mechanical energy into heat. Engineers use strong jumps in stilling basins, spillways, and channels to reduce flow velocity and protect downstream structures from erosion. Predicting jump depth, length, and energy loss supports safer, more efficient hydraulic design.

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JoVE Science Education - Engineering
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Hydraulic Jumps

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2023

Source: Alexander S Rattner and Mahdi Nabil; Department of Mechanical and Nuclear Engineering, The Pennsylvania State University, University Park, PA When liquid flows along an open channel at high velocity, the flow can become unstable, and slight disturbances can cause the liquid upper surface to transition abruptly to a higher level (Fig. 1a). This sharp increase in the liquid level is called a hydraulic jump. The increase in the liquid level causes a reduction in the average flow velocity.

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JoVE Core - Chemistry

Titration Calculations: Strong Acid - Strong Base

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2020

Calculating pH for Titration Solutions: Strong Acid/Strong Base A titration is carried out for 25.00 mL of 0.100 M HCl (strong acid) with 0.100 M of a strong base NaOH. The pH at different volumes of added base solution can be calculated as follows: (a) Titrant volume = 0 mL. The solution pH is due to the acid ionization of HCl. Because this is a strong acid, the ionization is complete and the hydronium ion molarity is 0.100 M. The pH of the solution is then: (b) Titrant volume = 12.50 mL.

Hydraulic Jump: Problem Solving

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2025

To analyze a hydraulic jump in a rectangular channel with a flow speed of 6 meters per second, follow these steps:Calculate Effective Upstream Velocity:When the downstream gate closes, a hydraulic jump forms, traveling upstream at 2 meters per second. This wave speed combines with the initial channel flow velocity, creating an effective upstream velocity.Identify Flow Velocities Before and After the Hydraulic Jump:Upstream of the hydraulic jump, the effective flow velocity includes both the...

Titration of a Strong Acid with a Strong Base

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2024

During the titration of a strong acid with a strong base, pH calculations are primarily based on the concentration of residual hydronium or hydroxide ions. Initially, a strong acid like hydrochloric acid fully dissociates, creating hydronium and chloride ions, resulting in a low pH. The addition of a strong base like sodium hydroxide alters the concentration of hydronium ions by neutralizing them. As more base is added, the pH gradually increases. At the equivalence point, all hydronium ions...

Strong Acid and Base Solutions

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2020

A strong acid is a compound that dissociates completely in an aqueous solution and produces a concentration of hydronium ions equal to the initial concentration of acid. For example, 0.20 M hydrobromic acid will dissociate completely in water and produces 0.20 M of hydronium ions and 0.20 M of bromide ions. On the other hand, a strong base is a compound that dissociates completely in an aqueous solution and produces hydroxide ions. For example, 0.015 M KOH, a group 1 metal hydroxide, will...

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