Formula Used:
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The Top Width Given Section Factor calculation determines the width at the top of a parabolic channel section based on the section factor and depth of flow. This is important in hydraulic engineering for designing efficient water channels.
The calculator uses the formula:
Where:
Explanation: The formula calculates the top width of a parabolic channel section by relating the section factor to the depth of flow raised to the power of 1.5, with a constant coefficient of 0.544331054.
Details: Accurate top width calculation is crucial for hydraulic design, flood management, and ensuring proper water flow characteristics in parabolic channel sections.
Tips: Enter the section factor in m2.5 and depth of flow in meters. Both values must be positive numbers greater than zero.
Q1: What is the Section Factor of Parabola?
A: The Section Factor of Parabola is the ratio of normal to critical channel depth, representing the channel's hydraulic characteristics.
Q2: Why is the exponent 1.5 used in the formula?
A: The exponent 1.5 comes from the hydraulic geometry relationships for parabolic channels, reflecting the non-linear relationship between depth and width.
Q3: What are typical values for Top Width in parabolic channels?
A: Top width varies significantly based on channel size and design requirements, ranging from a few meters for small channels to tens of meters for major watercourses.
Q4: Are there limitations to this formula?
A: This formula is specific to parabolic channel sections and may not be accurate for other channel shapes or under extreme flow conditions.
Q5: How does depth of flow affect top width?
A: As depth increases, top width increases non-linearly due to the 1.5 exponent in the denominator, reflecting the parabolic shape of the channel.