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Related Concept Videos

Hydraulic Jump01:29

Hydraulic Jump

137
A hydraulic jump is a sudden rise in fluid depth in open channels, occurring when high-velocity (supercritical) flow transitions to low-velocity (subcritical) flow. This phenomenon requires an upstream Froude number greater than 1, as flows with Fr1<1 remain subcritical, making a hydraulic jump impossible due to the need for negative head loss, which violates thermodynamic principles.The characteristics of a hydraulic jump depend on the upstream Froude number and are classified as...
137
Hydraulic Jump: Problem Solving01:16

Hydraulic Jump: Problem Solving

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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...
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Typical Model Studies01:30

Typical Model Studies

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Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.
400
Design Example: Creating a Hydraulic Model of a Dam Spillway01:21

Design Example: Creating a Hydraulic Model of a Dam Spillway

256
Scaled hydraulic models of dam spillways provide a practical way to replicate and study the intricate flow dynamics of these structures. Often built to a 1:15 ratio, these models allow for observing critical water behavior, such as velocity distribution, flow patterns, and energy dissipation.
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Buoyancy and Stability for Submerged and Floating Bodies01:11

Buoyancy and Stability for Submerged and Floating Bodies

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In fluid mechanics, buoyancy and stability are key concepts for understanding the behavior of submerged and floating bodies. When a stationary body is fully or partially submerged in a fluid, the fluid exerts a force on the body known as the buoyant force. This force acts vertically upward through a point called the center of buoyancy, which is the center of the displaced fluid volume. According to Archimedes' principle, the magnitude of the buoyant force is equal to the weight of the fluid...
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Design Example: Designing Water Slide01:18

Design Example: Designing Water Slide

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When designing a water slide, controlling the speed of water flow is crucial for rider safety while maintaining an exciting experience. As water flows down the slide, gravity causes it to accelerate, with its speed at the bottom depending on the height from which it starts. The higher the slide, the more potential energy the water has at the top, which is converted into kinetic energy as it descends, increasing its speed.
Bernoulli's principle determines the water's velocity along the...
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Related Experiment Video

Updated: Aug 6, 2025

Measurement of Dynamic Force Acted on Water Strider Leg Jumping Upward by the PVDF Film Sensor
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Scale dependence in hydrodynamic regime for jumping on water.

Minseok Gwon1, Dongjin Kim1, Baekgyeom Kim1

  • 1Department of Mechanical Engineering, Ajou University, 206 Worldcup-ro, Yeongtong-gu, Suwon-si, Gyeonggi-do, 16499, Republic of Korea.

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|March 17, 2023
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Jumping on water is challenging due to scale-dependent hydrodynamics. Designing systems with a high Weber number, far from 1, optimizes jumping performance on water surfaces.

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Area of Science:

  • Fluid dynamics
  • Robotics
  • Biomechanics

Background:

  • Momentum transfer at the air-water interface is crucial for aquatic jumpers.
  • The dynamical scale and morphology of organisms influence their jumping capabilities.
  • Understanding these interactions is key for both biological and engineered systems.

Purpose of the Study:

  • To investigate the scale-dependent momentum transfer of jumping organisms and engineered systems at an air-water interface.
  • To develop an analytical model for calculating maximum momentum transfer.
  • To identify optimal design parameters for efficient water jumping.

Main Methods:

  • Development of a simplified analytical model for maximum momentum transfer.
  • Analysis of scale-dependent hydrodynamics across various jumping systems.
  • Design and testing of a large-scale water-jumping robot.

Main Results:

  • An intermediate dynamical scale region was identified as disadvantageous for water jumping.
  • Optimal jumping performance requires a Weber number significantly different from 1.
  • A novel water-jumping robot achieved a record take-off speed of 3.6 m/s using drag-based propulsion.

Conclusions:

  • Scale-dependent hydrodynamics govern water jumping performance.
  • Designing systems with high Weber numbers is crucial for maximizing jumping height and distance.
  • This research provides a framework for understanding and engineering water-surface interactions.