Area of Section Considering Condition of Maximum Discharge Calculator

✖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 [T]			+10% -10%

✖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.ⓘ Area of Section Considering Condition of Maximum Discharge [A_cs]

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Formula

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Area of Section Considering Condition of Maximum Discharge

Formula

A cs = {(Q \cdot Q \cdot \frac{T}{[g]})}^{\frac{1}{3}}

Example

3.475241 m² = {(14 m³/s \cdot 14 m³/s \cdot \frac{2.1 m}{[g]})}^{\frac{1}{3}}

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Area of Section Considering Condition of Maximum Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Variables Used

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.
Top Width - (Measured in Meter) - Top Width is defined as the width at the top of the section.

STEP 1: Convert Input(s) to Base Unit

Discharge of Channel: 14 Cubic Meter per Second --> 14 Cubic Meter per Second No Conversion Required
Top Width: 2.1 Meter --> 2.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_cs = (Q*Q*T/[g])^(1/3) --> (14*14*2.1/[g])^(1/3)

Evaluating ... ...

A_cs = 3.47524075625864

STEP 3: Convert Result to Output's Unit

3.47524075625864 Square Meter --> No Conversion Required

FINAL ANSWER

3.47524075625864 ≈ 3.475241 Square Meter <-- Cross-Sectional Area of Channel

(Calculation completed in 00.004 seconds)

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< Specific Energy and Critical Depth Calculators

Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section

Go Mean Velocity = sqrt((Total Energy-(Depth of Flow+Height above Datum))*2*[g])

Depth of Flow given Total Energy per Unit Weight of Water in Flow Section

Go Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g]))+Height above Datum)

Datum Height for Total Energy per unit Weight of Water in Flow Section

Go Height above Datum = Total Energy-(((Mean Velocity^2)/(2*[g]))+Depth of Flow)

Total Energy per unit Weight of Water in Flow Section

Go Total Energy = ((Mean Velocity^2)/(2*[g]))+Depth of Flow+Height above Datum

Area of Section Considering Condition of Maximum Discharge Formula

Cross-Sectional Area of Channel = (Discharge of Channel*Discharge of Channel*Top Width/[g])^(1/3)
A_cs = (Q*Q*T/[g])^(1/3)

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 Area of Section Considering Condition of Maximum Discharge?

Area of Section Considering Condition of Maximum Discharge calculator uses Cross-Sectional Area of Channel = (Discharge of Channel*Discharge of Channel*Top Width/[g])^(1/3) to calculate the Cross-Sectional Area of Channel, The Area of Section Considering Condition of Maximum Discharge is defined as the area of sectional flow path in open channel. Cross-Sectional Area of Channel is denoted by A_cs symbol.

How to calculate Area of Section Considering Condition of Maximum Discharge using this online calculator? To use this online calculator for Area of Section Considering Condition of Maximum Discharge, enter Discharge of Channel (Q) & Top Width (T) and hit the calculate button. Here is how the Area of Section Considering Condition of Maximum Discharge calculation can be explained with given input values -> 3.475241 = (14*14*2.1/[g])^(1/3).

FAQ

What is Area of Section Considering Condition of Maximum Discharge?

The Area of Section Considering Condition of Maximum Discharge is defined as the area of sectional flow path in open channel and is represented as A_cs = (Q*Q*T/[g])^(1/3) or Cross-Sectional Area of Channel = (Discharge of Channel*Discharge of Channel*Top Width/[g])^(1/3). Discharge of Channel is the rate of flow of a liquid & Top Width is defined as the width at the top of the section.

How to calculate Area of Section Considering Condition of Maximum Discharge?

The Area of Section Considering Condition of Maximum Discharge is defined as the area of sectional flow path in open channel is calculated using Cross-Sectional Area of Channel = (Discharge of Channel*Discharge of Channel*Top Width/[g])^(1/3). To calculate Area of Section Considering Condition of Maximum Discharge, you need Discharge of Channel (Q) & Top Width (T). With our tool, you need to enter the respective value for Discharge of Channel & Top Width 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 Cross-Sectional Area of Channel?

In this formula, Cross-Sectional Area of Channel uses Discharge of Channel & Top Width. We can use 2 other way(s) to calculate the same, which is/are as follows -

Cross-Sectional Area of Channel = (Discharge of Channel*Top Width/[g])^(1/3)
Cross-Sectional Area of Channel = Discharge of Channel/sqrt(2*[g]*(Total Energy-Depth of Flow))

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