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Related Concept Videos

Conservation of Mass in Fixed, Nondeforming Control Volume01:07

Conservation of Mass in Fixed, Nondeforming Control Volume

The principle of conservation of mass is fundamental in fluid dynamics and is crucial for analyzing flow within fixed control volumes, such as pipes or ducts. This principle states that the total mass within a control volume remains constant unless altered by the inflow or outflow of mass through the control surfaces. This results in a vital relationship for steady, incompressible flow where the mass entering a system equals the mass leaving it.
In the case of a sewer pipe, which can be modeled...
Pole and System Stability01:24

Pole and System Stability

The transfer function is a fundamental concept representing the ratio of two polynomials. The numerator and denominator encapsulate the system's dynamics. The zeros and poles of this transfer function are critical in determining the system's behavior and stability.
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Conservation of Mass in Moving, Nondeforming Control Volume01:14

Conservation of Mass in Moving, Nondeforming Control Volume

Stormwater detention basins are essential in managing runoff during heavy rainfall, particularly in urban areas where impervious surfaces increase the risk of flooding. Understanding the conservation of mass in these systems allows engineers to optimize basin performance, balancing inflow, outflow, and water storage.
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Conservation of Mass in Finite Cotrol Volume01:16

Conservation of Mass in Finite Cotrol Volume

The principle of conservation of mass is a fundamental law in fluid mechanics and is applied using the continuity equation. We apply the concept to a finite control volume to derive the continuity equation.
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Linear Momentum in Control Volume01:13

Linear Momentum in Control Volume

Newton's second law is applied to obtain the linear momentum in a control volume in a fluid system. According to this law, the rate of change of linear momentum is equal to the sum of external forces acting on the system. When a control volume matches the fluid system at a specific moment, the forces acting on both are identical. Reynolds transport theorem helps explain this by breaking down the system's linear momentum into two components: the rate of change of linear momentum within the...
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Consider a turbine operating under steady-flow conditions. The control volume is drawn around the turbine, with fluid entering at one point and exiting at another. The turbine extracts energy from the fluid, which performs mechanical work (shaft work).
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Postural Organization of Gait Initiation for Biomechanical Analysis Using Force Platform Recordings
06:21

Postural Organization of Gait Initiation for Biomechanical Analysis Using Force Platform Recordings

Published on: July 26, 2022

Pole vault performance for anthropometric variability via a dynamical optimal control model.

Guangyu Liu1, Sing-Kiong Nguang, Yanxin Zhang

  • 1Department of Mechanical Engineering, Faculty of Engineering, The University of Auckland, Private Bag 92019, New Zealand. guangyu_liu@hotmail.com

Journal of Biomechanics
|October 29, 2010
PubMed
Summary
This summary is machine-generated.

This study models pole vaulting as an optimization problem. Results show body weight significantly impacts performance, and less skilled vaulters can improve by using longer poles.

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Experimental Methods to Study Human Postural Control
08:12

Experimental Methods to Study Human Postural Control

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08:12

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Published on: September 11, 2019

Area of Science:

  • Sports Science
  • Biomechanics
  • Applied Mathematics

Background:

  • Pole vaulting performance is influenced by numerous biomechanical factors.
  • Modeling the complex dynamics of pole vaulting is crucial for performance enhancement.

Purpose of the Study:

  • To model the pole vaulting process as a constrained nonlinear optimization problem.
  • To identify key parameters influencing maximum vaulting height.

Main Methods:

  • A constrained nonlinear optimization approach was employed.
  • The vaulting trajectory's input-to-output mapping was searched.
  • Nonlinear sequential quadratic programming (SQP) was utilized.

Main Results:

  • Body weight was identified as a significant factor in pole vaulting performance, alongside height and approach speed.
  • Optimal take-off angle, pole stiffness, and grip height were determined for maximizing jump height.
  • The study provides insights into achieving feasible bar-crossing velocities.

Conclusions:

  • Body weight plays a critical role in pole vaulting success.
  • Less experienced vaulters can enhance performance by gradually adopting longer poles.
  • The optimization model offers a framework for understanding and improving pole vaulting techniques.