Top Width of Section Considering Condition of Maximum Discharge Calculator

✖Cross-Sectional Area of Channel is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross-Sectional Area of Channel [A_cs]			+10% -10%
✖Discharge of Channel is the rate of flow of a liquid.ⓘ Discharge of Channel [Q]			+10% -10%

✖Top Width is defined as the width at the top of the section.ⓘ Top Width of Section Considering Condition of Maximum Discharge [T]

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Formula

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Top Width of Section Considering Condition of Maximum Discharge

Formula

T = \sqrt{({A cs}^{3}) \cdot \frac{[g]}{Q}}

Example

5.247044 m = \sqrt{({3.4 m²}^{3}) \cdot \frac{[g]}{14 m³/s}}

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Top Width of Section Considering Condition of Maximum Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Top Width = sqrt((Cross-Sectional Area of Channel^3)*[g]/Discharge of Channel)
T = sqrt((A_cs^3)*[g]/Q)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Top Width - (Measured in Meter) - Top Width is defined as the width at the top of the section.
Cross-Sectional Area of Channel - (Measured in Square Meter) - Cross-Sectional Area of Channel is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Discharge of Channel - (Measured in Cubic Meter per Second) - Discharge of Channel is the rate of flow of a liquid.

STEP 1: Convert Input(s) to Base Unit

Cross-Sectional Area of Channel: 3.4 Square Meter --> 3.4 Square Meter No Conversion Required
Discharge of Channel: 14 Cubic Meter per Second --> 14 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = sqrt((A_cs^3)*[g]/Q) --> sqrt((3.4^3)*[g]/14)

Evaluating ... ...

T = 5.24704387250574

STEP 3: Convert Result to Output's Unit

5.24704387250574 Meter --> No Conversion Required

FINAL ANSWER

5.24704387250574 ≈ 5.247044 Meter <-- Top Width

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Specific Energy and Critical Depth Calculators

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Total Energy per unit Weight of Water in Flow Section

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Top Width of Section Considering Condition of Maximum Discharge Formula

Top Width = sqrt((Cross-Sectional Area of Channel^3)*[g]/Discharge of Channel)
T = sqrt((A_cs^3)*[g]/Q)

What is Specific Energy?

Specific energy or massic energy is energy per unit mass. It is also sometimes called gravimetric energy density, or just energy density though energy density more precisely means energy per unit volume.

How to Calculate Top Width of Section Considering Condition of Maximum Discharge?

Top Width of Section Considering Condition of Maximum Discharge calculator uses Top Width = sqrt((Cross-Sectional Area of Channel^3)*[g]/Discharge of Channel) to calculate the Top Width, The Top Width of Section Considering Condition of Maximum Discharge formula is defined as the measurement of the widest part of a channel or watercourse essential for achieving the highest possible flow rate. Top Width is denoted by T symbol.

How to calculate Top Width of Section Considering Condition of Maximum Discharge using this online calculator? To use this online calculator for Top Width of Section Considering Condition of Maximum Discharge, enter Cross-Sectional Area of Channel (A_cs) & Discharge of Channel (Q) and hit the calculate button. Here is how the Top Width of Section Considering Condition of Maximum Discharge calculation can be explained with given input values -> 48.62204 = sqrt((3.4^3)*[g]/14).

FAQ

What is Top Width of Section Considering Condition of Maximum Discharge?

The Top Width of Section Considering Condition of Maximum Discharge formula is defined as the measurement of the widest part of a channel or watercourse essential for achieving the highest possible flow rate and is represented as T = sqrt((A_cs^3)*[g]/Q) or Top Width = sqrt((Cross-Sectional Area of Channel^3)*[g]/Discharge of Channel). Cross-Sectional Area of Channel is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point & Discharge of Channel is the rate of flow of a liquid.

How to calculate Top Width of Section Considering Condition of Maximum Discharge?

The Top Width of Section Considering Condition of Maximum Discharge formula is defined as the measurement of the widest part of a channel or watercourse essential for achieving the highest possible flow rate is calculated using Top Width = sqrt((Cross-Sectional Area of Channel^3)*[g]/Discharge of Channel). To calculate Top Width of Section Considering Condition of Maximum Discharge, you need Cross-Sectional Area of Channel (A_cs) & Discharge of Channel (Q). With our tool, you need to enter the respective value for Cross-Sectional Area of Channel & Discharge of Channel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Top Width?

In this formula, Top Width uses Cross-Sectional Area of Channel & Discharge of Channel. We can use 1 other way(s) to calculate the same, which is/are as follows -

Top Width = ((Cross-Sectional Area of Channel^3)*[g]/Discharge of Channel)

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