Discharge Given Plan Area For Particular Sized Particle Calculator

Formula Used:

\[ Discharge = \frac{100 \times Base Surface Area \times Settling Velocity}{70} \] \[ Q = \frac{100 \times SABase \times vs}{70} \]

Discharge (Q):

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1. What is the Discharge Calculation?

The discharge calculation determines the rate of flow of a liquid through a sedimentation system based on the base surface area and settling velocity of particles. This formula is particularly useful in designing and analyzing sedimentation tanks and similar hydraulic systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Q = \frac{100 \times SABase \times vs}{70} \]

Where:

\( Q \) — Discharge (m³/s)
\( SABase \) — Base Surface Area (m²)
\( vs \) — Settling Velocity (m/s)

Explanation: The formula calculates the discharge rate by multiplying the base surface area and settling velocity, then scaling by the factor 100/70 to account for specific sedimentation tank design parameters.

3. Importance of Discharge Calculation

Details: Accurate discharge calculation is crucial for proper design of sedimentation systems, ensuring efficient particle removal and optimal system performance in water treatment plants and other hydraulic applications.

4. Using the Calculator

Tips: Enter base surface area in square meters and settling velocity in meters per second. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is settling velocity?
A: Settling velocity is the terminal velocity at which particles settle in a fluid under the influence of gravity.

Q2: Why is the 100/70 factor used in the formula?
A: This factor accounts for specific design parameters and efficiency considerations in sedimentation tank design.

Q3: What are typical values for base surface area?
A: Base surface area varies significantly based on the size and design of the sedimentation system, typically ranging from a few square meters to hundreds of square meters.

Q4: How does particle size affect the calculation?
A: Particle size directly influences the settling velocity, with larger particles having higher settling velocities and thus affecting the discharge calculation.

Q5: Can this formula be used for all types of sedimentation tanks?
A: While the formula provides a general calculation, specific tank designs may require additional factors or modifications for accurate discharge estimation.