Depth Of Tank Given Height To Length Ratio Calculator

Formula Used:

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

Discharge (Q):

m³/s

Settling Velocity (vₛ):

m/s

Width (w):

Ratio of Height to Length (H/L):

Depth (d):

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1. What is the Depth Calculation Formula?

The depth calculation formula determines the vertical distance in a tank or sedimentation basin based on discharge rate, settling velocity, width, and the ratio of height to length. This is particularly useful in hydraulic engineering and water treatment processes.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( d \) — Depth (m)
\( Q \) — Discharge rate (m³/s)
\( v_s \) — Settling velocity (m/s)
\( w \) — Width (m)
\( \frac{H}{L} \) — Ratio of height to length

Explanation: The formula calculates the required depth based on flow characteristics and geometric proportions of the tank or basin.

3. Importance of Depth Calculation

Details: Accurate depth calculation is crucial for designing efficient sedimentation tanks, ensuring proper particle settlement, and optimizing water treatment processes. It helps in maintaining the right hydraulic retention time and treatment efficiency.

4. Using the Calculator

Tips: Enter discharge in m³/s, settling velocity in m/s, width in meters, and the height to length ratio. 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 viscosity.

Q2: Why is the height to length ratio important?
A: The ratio affects the flow characteristics and sedimentation efficiency. Different ratios are optimal for different types of sedimentation processes.

Q3: What are typical values for settling velocity?
A: Settling velocity varies widely depending on particle type - from 0.001 m/s for fine silt to 0.1 m/s for coarse sand in water treatment applications.

Q4: How does width affect the depth calculation?
A: Wider tanks require less depth for the same discharge rate and settling characteristics, as the cross-sectional area increases with width.

Q5: Can this formula be used for all tank designs?
A: While generally applicable, specific tank designs may require adjustments based on flow patterns, inlet/outlet configurations, and other hydraulic considerations.