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Darcy’s Law Calculator: Understanding Fluid Flow Through Porous Medium

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Darcy’s Law is an equation that describes the flow of a fluid through a porous medium. It is a crucial principle in the field of hydrogeology and civil engineering. With our Darcy’s Law Calculator, you can easily estimate the discharge velocity of a fluid flowing through a porous medium.

What is Darcy’s Law?

Darcy’s Law was established by Henry Darcy in the 19th century. It provides an approximate description of how fluid flows through a porous medium. Darcy’s Law can be written as:

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Q = K * A * (h1 - h2) / L

Where:

  • Q is the discharge velocity (m³/s)
  • K is the hydraulic conductivity (m/s)
  • A is the cross-sectional area (m²)
  • h1 and h2 are the hydraulic heads at the start and end of the medium respectively (m)
  • L is the length of the path of flow (m)

Using the Darcy’s Law Calculator

Our calculator simplifies the computation process. You only need to input the hydraulic conductivity, cross-sectional area, hydraulic head at the start and end of the flow, and the length of the path of flow. Upon clicking ‘Calculate’, the calculator gives an estimate of the discharge velocity in m³/s.

Example Calculation with Darcy’s Law Calculator

Let’s consider a porous medium with a hydraulic conductivity of 0.001 m/s, a cross-sectional area of 2 m², a hydraulic head at the start and end of 10 m and 5 m respectively, and a length of path of flow of 50 m.

By inputting these values into the calculator:

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Q = 0.001 * 2 * (10 - 5) / 50

The estimated discharge velocity of the fluid through the porous medium would be 0.00002 m³/s.

Final Thoughts

Our Darcy’s Law Calculator aims to facilitate understanding and application of Darcy’s Law in real-world scenarios. However, it’s important to note that the actual discharge velocity can vary due to many factors. Always consult a professional for crucial applications.

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