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Related Concept Videos

Fluid Pressure over Flat Plate of Variable Width01:02

Fluid Pressure over Flat Plate of Variable Width

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When a flat plate is submerged in a fluid, the fluid exerts pressure on the plate. This pressure can lead to many different phenomena, including drag and buoyancy. To understand the behavior of the fluid over a flat plate of variable width, it is essential to analyze the distribution of the pressure exerted.
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When a body is submerged in water, it experiences fluid pressure acting normal on its surface and distributed over its area. For better design structures, it is crucial to determine the magnitude and location of the resultant force acting on the surface. In the case of a rectangular plate of constant width submerged in water, the pressure increases with depth, resulting in a linearly varying trapezoidal pressure distribution from the upper to the lower edge of the plate.
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When a curved plate of constant width is submerged in a liquid, the pressure acting normal to the plate varies continuously both in magnitude and direction. Calculating the magnitude and location of the resultant force at a point is often challenging for such cases. One of the methods to determine the resultant force and its location involves separately calculating the horizontal and vertical components of the resultant force. This complex calculation can be simplified by representing the...
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Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
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A parallel-plate capacitor with capacitance C, whose plates have area A and separation distance d, is connected to a resistor R and a battery of voltage V. The current starts to flow at t = 0. What is the displacement current between the capacitor plates at time t? From the properties of the capacitor, what is the corresponding real current?
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Two-Dimensional Force System: Problem Solving01:29

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Solving problems related to two-dimensional force systems is an essential aspect of mechanics and engineering. By applying the principles of vector analysis and force equilibrium, one can determine the effect of multiple forces acting on an object in a two-dimensional space.
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A Parallel Plate Variable Capacitor-Based Wind Pressure Sensor: Closed-Form Solution and Numerical Design and

Xiao-Ting He1,2,3, Jun-Song Ran1, Jing-Miao Yin1

  • 1School of Civil Engineering, Chongqing University, Chongqing 400045, China.

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|June 27, 2025
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Summary
This summary is machine-generated.

This study introduces a novel capacitive wind pressure sensor. It accurately measures wind pressure by detecting capacitance changes from a wind-deformed membrane, offering a new design for wind sensing applications.

Keywords:
capacitive sensorclosed-form solutionnumerical calibrationnumerical designparallel plate variable capacitorwind pressure measurement

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Area of Science:

  • Mechanical Engineering
  • Sensor Technology
  • Fluid Dynamics

Background:

  • Wind pressure measurement is crucial for various applications.
  • Existing sensors may have limitations in accuracy or design.
  • A novel approach using capacitive sensing is explored.

Purpose of the Study:

  • To propose and analyze a parallel plate variable capacitor-based wind pressure sensor.
  • To develop an analytical solution for the sensor's performance.
  • To investigate the impact of design parameters on sensor output.

Main Methods:

  • Utilizing a wind-driven circular membrane as the pressure-sensitive element.
  • Employing a spring-reset parallel plate variable capacitor as the sensing element.
  • Analytically solving the elastic contact problem without small rotation angle assumptions.

Main Results:

  • A closed-form solution for the elastic contact problem was derived.
  • An analytical relationship between input pressure and output capacitance was established.
  • The validity of the solution and its application in design and calibration were demonstrated.

Conclusions:

  • The proposed capacitive wind pressure sensor offers a viable method for wind pressure detection.
  • The derived analytical model facilitates sensor design and calibration.
  • Understanding parameter effects allows for optimized sensor performance.