Formula Used:
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The conjugate depth formula calculates the depth of point 1 (d1R) in a rectangular channel given the depth of point 2 (d2R) and the Froude number (Fr). This relationship is fundamental in open channel flow analysis, particularly for hydraulic jumps and energy dissipation.
The calculator uses the formula:
Where:
Explanation: This formula establishes the relationship between conjugate depths in a rectangular channel based on the Froude number, which characterizes the flow regime.
Details: Calculating conjugate depths is essential for designing hydraulic structures, analyzing energy dissipation in hydraulic jumps, and understanding flow transitions between subcritical and supercritical regimes in open channels.
Tips: Enter the depth of point 2 in meters and the Froude number. Both values must be positive numbers. The calculator will compute the corresponding depth of point 1.
Q1: What is the Froude number?
A: The Froude number is a dimensionless number that represents the ratio of flow inertia to gravitational forces, used to classify flow regimes in open channels.
Q2: What are conjugate depths?
A: Conjugate depths are the two depths that occur before and after a hydraulic jump in an open channel flow, representing the same specific energy.
Q3: When is this formula applicable?
A: This formula applies specifically to rectangular channels with horizontal beds and uniform flow conditions.
Q4: What flow regimes does this cover?
A: The formula applies to both subcritical and supercritical flow conditions and is particularly relevant for analyzing hydraulic jumps.
Q5: Are there limitations to this equation?
A: This equation assumes ideal conditions with no energy losses and is specifically designed for rectangular channel cross-sections.