Discharge Given Height To Length Ratio Calculator

Formula Used:

\[ \text{Discharge} = \frac{\text{Settling Velocity} \times \text{Width} \times \text{Depth}}{\text{Ratio of Height to Length}} \] \[ Q = \frac{v_s \times w \times d}{HL} \]

Settling Velocity (v_s):

m/s

Width (w):

Depth (d):

Ratio of Height to Length (HL):

Discharge (Q):

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1. What is Discharge Given Height To Length Ratio?

Discharge Given Height To Length Ratio is a hydraulic calculation used to determine the flow rate of liquid through a sedimentation tank or similar structure based on settling velocity, dimensions, and the height-to-length ratio.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Q = \frac{v_s \times w \times d}{HL} \]

Where:

\( Q \) — Discharge (m³/s)
\( v_s \) — Settling Velocity (m/s)
\( w \) — Width (m)
\( d \) — Depth (m)
\( HL \) — Ratio of Height to Length

Explanation: This formula calculates the discharge rate by considering the product of settling velocity and cross-sectional area, divided by the height-to-length ratio of the sedimentation tank.

3. Importance of Discharge Calculation

Details: Accurate discharge calculation is crucial for designing and operating sedimentation tanks, ensuring proper treatment efficiency, and maintaining optimal flow conditions in water treatment systems.

4. Using the Calculator

Tips: Enter settling velocity in m/s, width and depth in meters, and the height-to-length ratio as a dimensionless value. All values must be positive numbers greater than zero.

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 gravity, depending on particle size, density, and fluid properties.

Q2: How is height-to-length ratio determined?
A: The height-to-length ratio is typically determined by the design specifications of the sedimentation tank and affects the efficiency of particle removal.

Q3: What are typical values for settling velocity?
A: Settling velocity varies widely depending on particle characteristics, but typically ranges from 0.001 to 0.1 m/s for most sedimentation applications.

Q4: Can this formula be used for other applications?
A: While primarily used for sedimentation tank design, similar principles can be applied to other hydraulic systems where settling and flow characteristics are important.

Q5: What factors affect discharge calculation accuracy?
A: Accuracy depends on precise measurement of settling velocity, proper dimension measurements, and correct determination of the height-to-length ratio for the specific system.