Hydraulic Mean Depth While Running Partially Full Given Proportionate Velocity Calculator

Formula Used:

\[ r_{pf} = \left( \frac{P_v \times n_p \times R_{rf}^{2/3}}{N} \right)^{3/2} \]

Proportionate Velocity (Pv):

unitless

Roughness Coefficient Partially Full (np):

unitless

Hydraulic Mean Depth while Running Full (Rrf):

Roughness Coefficient for Running Full (N):

unitless

Hydraulic Mean Depth for Partially Full (rpf):

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1. What is Hydraulic Mean Depth for Partially Full?

Hydraulic Mean Depth for Partially Full refers to the cross-sectional area of flow divided by the wetted perimeter, adapting to varying water levels in partially filled pipes or channels.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ r_{pf} = \left( \frac{P_v \times n_p \times R_{rf}^{2/3}}{N} \right)^{3/2} \]

Where:

\( r_{pf} \) — Hydraulic Mean Depth for Partially Full (m)
\( P_v \) — Proportionate Velocity (unitless)
\( n_p \) — Roughness Coefficient Partially Full (unitless)
\( R_{rf} \) — Hydraulic Mean Depth while Running Full (m)
\( N \) — Roughness Coefficient for Running Full (unitless)

Explanation: This formula calculates the hydraulic mean depth for partially full flow conditions based on proportionate velocity and roughness coefficients.

3. Importance of Hydraulic Mean Depth Calculation

Details: Accurate calculation of hydraulic mean depth is crucial for determining flow characteristics, friction losses, and efficiency in partially filled pipes and open channels.

4. Using the Calculator

Tips: Enter all required values with appropriate units. Ensure all inputs are positive values for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is proportionate velocity?
A: Proportionate velocity is the ratio of velocity when water is partially full to velocity when water is totally full.

Q2: How does roughness coefficient affect the calculation?
A: Roughness coefficients account for surface resistance affecting flow velocity and friction loss in both full and partially full conditions.

Q3: What are typical values for roughness coefficients?
A: Roughness coefficients vary based on pipe material, ranging from 0.009-0.015 for smooth pipes to 0.03-0.05 for rough surfaces.

Q4: When is this calculation most useful?
A: This calculation is essential for designing and analyzing sewer systems, drainage channels, and other partially filled flow systems.

Q5: Are there limitations to this formula?
A: The formula assumes uniform flow conditions and may need adjustments for non-uniform flow or extreme hydraulic conditions.