Home Back

Rehbocks Formula for Coefficient of Discharge Calculator

Rehbocks Formula:

\[ Cd = 0.605 + 0.08 \times \left( \frac{Sw}{hCrest} \right) + \left( \frac{0.001}{Sw} \right) \]

m
m

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Rehbocks Formula for Coefficient of Discharge?

Rehbocks Formula is an empirical equation used to calculate the coefficient of discharge for weirs. It provides a more accurate assessment of discharge coefficient by accounting for the relationship between water height above the weir crest and the crest height itself.

2. How Does the Calculator Work?

The calculator uses Rehbocks Formula:

\[ Cd = 0.605 + 0.08 \times \left( \frac{Sw}{hCrest} \right) + \left( \frac{0.001}{Sw} \right) \]

Where:

Explanation: The formula accounts for the ratio of water height to crest height and includes a correction factor for very small water heights.

3. Importance of Coefficient of Discharge Calculation

Details: Accurate coefficient of discharge calculation is crucial for determining actual flow rates over weirs, designing hydraulic structures, and conducting water resource management studies.

4. Using the Calculator

Tips: Enter height of water above crest and crest height in meters. Both values must be positive and non-zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range of coefficient of discharge values?
A: For sharp-crested weirs, the coefficient of discharge typically ranges from 0.60 to 0.75, depending on the weir geometry and flow conditions.

Q2: When is Rehbocks Formula most applicable?
A: Rehbocks Formula is most applicable for rectangular sharp-crested weirs with moderate to high head-to-crest ratios.

Q3: What are the limitations of Rehbocks Formula?
A: The formula may be less accurate for very low head-to-crest ratios or for weirs with significant approach velocity effects.

Q4: How does water temperature affect the calculation?
A: While Rehbocks Formula doesn't explicitly account for temperature, water properties (density, viscosity) change with temperature, which can indirectly affect discharge characteristics.

Q5: Can this formula be used for other weir types?
A: Rehbocks Formula was developed specifically for rectangular sharp-crested weirs and may not be accurate for other weir types such as V-notch or broad-crested weirs.

Rehbocks Formula for Coefficient of Discharge Calculator© - All Rights Reserved 2025