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Related Concept Videos

Applications of Integration to Find Hydrostatic Pressure01:30

Applications of Integration to Find Hydrostatic Pressure

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Hydrostatic force is a fluid's total force at rest on a surface. For a horizontal surface submerged at a fixed depth, the pressure is constant and calculated as the product of fluid density, gravitational acceleration, and depth. In the case of a vertical dam wall submerged in water, this force is not evenly distributed due to the increasing pressure with depth. This variation arises from the cumulative weight of the water above each point. Integration is used to account for the continuous...
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Integration by Parts: Indefinite Integrals01:26

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Integration by parts is a fundamental technique in calculus for evaluating integrals involving the product of two functions. It is particularly useful when direct integration is not feasible. The method is based on the product rule for differentiation, which states that the derivative of a product equals the derivative of the first function times the second, plus the first function times the derivative of the second. By integrating this identity and rearranging terms, the integration by parts...
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Definite integrals involving the product of two functions over a fixed interval can be evaluated using integration by parts. This method rewrites the integral as the difference of a product evaluated at the endpoints and a remaining definite integral that is often simpler to compute.A representative example is the definite integral of the inverse tangent function. Since there is no direct integration formula for arctan ⁡x, the integrand is rewritten as a product of arctan⁡ x and the...
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Related Experiment Video

Updated: Jan 28, 2026

Sensitivity Enhancement of Soft Capacitive Pressure Sensors Using a Solvent Evaporation-Based Porosity Control Technique
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On-Channel Integrated Optofluidic Pressure Sensor with Optically Boosted Sensitivity.

Noha Gaber1,2, Ahmad Altayyeb3, Sherif A Soliman4

  • 1Center for Nanotechnology, Zewail City of Science and Technology, October Gardens, 6th of October, Giza 12578, Egypt. ngaber@zewailcity.edu.eg.

Sensors (Basel, Switzerland)
|March 1, 2019
PubMed
Summary

This study introduces a novel optofluidic sensor for measuring fluid pressure in microfluidic channels. The compact, single-wavelength device offers a cost-effective and simple solution for precise pressure detection.

Keywords:
Bragg mirrorsFabry–Pérot cavityintegrated microresonatoroptical pressure sensor

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Area of Science:

  • Optofluidics
  • Microfluidics
  • Optical Sensing

Background:

  • Microfluidic devices require precise local pressure measurements.
  • Existing sensors can be complex and expensive to fabricate.
  • Integration of sensing capabilities directly onto microfluidic channels is challenging.

Purpose of the Study:

  • To develop a novel, compact, and cost-effective optofluidic sensor for in-situ microfluidic pressure measurement.
  • To achieve single-wavelength detection for simplified sensor design.
  • To demonstrate high sensitivity and low detection limits for pressure sensing.

Main Methods:

  • Fabrication of an optofluidic sensor utilizing a Fabry-Pérot microresonator.
  • Incorporation of curved mirrors and cylindrical lenses to enhance the resonator's quality factor and minimize light diffraction.
  • Integration of the sensor directly onto a microfluidic channel.
  • Testing with deionized water and numerical simulations for performance evaluation.

Main Results:

  • The optofluidic sensor achieved a sensitivity of 12.46 dBm/bar.
  • A low detection limit of 8.2 mbar was demonstrated.
  • The sensor design facilitates single-wavelength detection due to its high-quality factor.
  • Numerical simulations validated the device's mechanical-fluidic performance.

Conclusions:

  • The novel optofluidic sensor provides a compact, inexpensive, and easily fabricated solution for microfluidic pressure sensing.
  • The unique Fabry-Pérot resonator design enables high-performance, single-wavelength detection.
  • The sensor demonstrates significant potential for various microfluidic applications requiring precise pressure monitoring.