Constant Given Discharge Through Small Rectangular Shaped Aperture Weir Calculator

Formula Used:

\[ K_{Flow} = \frac{Q_{srw}}{S_w - \left(\frac{h_{ap}}{3}\right)} \]

Discharge for Small Rectangular Aperture (Q_srw):

m³/s

Height of Water above Crest of Weir (S_w):

Height of Small Rectangular Aperture (h_ap):

Constant for Small Rectangular Aperture (K_Flow):

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1. What is Constant for Small Rectangular Aperture?

The Constant for Small Rectangular Aperture is defined by empirical formula given for Small Rectangular Aperture. It represents a coefficient used in hydraulic calculations for flow through rectangular weirs and apertures.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ K_{Flow} = \frac{Q_{srw}}{S_w - \left(\frac{h_{ap}}{3}\right)} \]

Where:

\( K_{Flow} \) — Constant for Small Rectangular Aperture
\( Q_{srw} \) — Discharge for Small Rectangular Aperture (m³/s)
\( S_w \) — Height of Water above Crest of Weir (m)
\( h_{ap} \) — Height of Small Rectangular Aperture (m)

Explanation: This formula calculates the empirical constant based on discharge measurements and geometric parameters of the rectangular aperture.

3. Importance of Constant Calculation

Details: Accurate determination of the constant is crucial for hydraulic engineering applications, including flow measurement, weir design, and water management systems involving rectangular apertures.

4. Using the Calculator

Tips: Enter discharge in m³/s, height measurements in meters. All values must be positive, and the denominator must not be zero (S_w > h_ap/3).

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for this constant?
A: The constant varies depending on the specific aperture geometry and flow conditions, typically ranging from 0.5 to 2.0 for most practical applications.

Q2: When is this formula applicable?
A: This empirical formula is specifically designed for small rectangular apertures in weir flow conditions where the aperture height is significant relative to the water head.

Q3: What are the limitations of this approach?
A: The formula assumes steady flow conditions, negligible viscosity effects, and may not be accurate for very large or very small apertures outside the empirical validation range.

Q4: How does aperture height affect the constant?
A: As aperture height increases relative to water head, the constant value typically increases due to changes in flow contraction and velocity distribution.

Q5: Can this be used for submerged flow conditions?
A: This specific formula is designed for free-flow conditions. For submerged flow, additional correction factors would be needed.