Discharge When Coefficient Of Permeability At Permeameter Experiment Is Considered Calculator

Formula Used:

\[ Q = K \times A \times \left( \frac{\Delta H}{L} \right) \]

Coefficient of Permeability at 20° C (K):

m/s

Cross-Sectional Area (A):

m²

Constant Head Difference (ΔH):

Length (L):

Discharge (Q):

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1. What is the Discharge Formula?

The discharge formula calculates the volumetric flow rate of water through a porous medium using the coefficient of permeability, cross-sectional area, and hydraulic gradient. It's commonly used in permeameter experiments to determine water flow characteristics.

2. How Does the Calculator Work?

The calculator uses the discharge formula:

\[ Q = K \times A \times \left( \frac{\Delta H}{L} \right) \]

Where:

\( Q \) — Discharge (m³/s)
\( K \) — Coefficient of permeability at 20° C (m/s)
\( A \) — Cross-sectional area (m²)
\( \Delta H \) — Constant head difference
\( L \) — Length (m)

Explanation: The formula calculates the volumetric flow rate based on the permeability of the medium and the hydraulic gradient.

3. Importance of Discharge Calculation

Details: Accurate discharge calculation is crucial for understanding groundwater flow, designing drainage systems, and analyzing soil permeability in geotechnical engineering projects.

4. Using the Calculator

Tips: Enter all values in appropriate units. Ensure coefficient of permeability, cross-sectional area, head difference, and length are all positive values for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is the coefficient of permeability?
A: The coefficient of permeability (K) measures a porous medium's ability to allow fluid flow through its voids, typically expressed in m/s.

Q2: Why is the temperature specified as 20° C?
A: Permeability measurements are standardized at 20° C to account for viscosity changes in water at different temperatures.

Q3: What is constant head difference?
A: Constant head difference refers to the maintained hydraulic head or pressure difference between two points in a permeameter experiment.

Q4: When is this formula most applicable?
A: This formula is most applicable for laminar flow conditions in saturated porous media with constant hydraulic gradient.

Q5: Are there limitations to this equation?
A: The equation assumes homogeneous, isotropic media and may not accurately represent flow in fractured or highly heterogeneous materials.