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)
Acs = (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
Acs = (Q*Q*T/[g])^(1/3) --> (14*14*2.1/[g])^(1/3)
Evaluating ... ...
Acs = 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 00.020 seconds)

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23 Specific Energy and Critical Depth Calculators

Discharge through Area
Go Discharge of Channel = sqrt(2*[g]*Cross-Sectional Area of Channel^2*(Total Energy-Depth of Flow))
Area of Section given Discharge
Go Cross-Sectional Area of Channel = Discharge of Channel/sqrt(2*[g]*(Total Energy-Depth of Flow))
Volume of Liquid Considering Condition of Maximum Discharge
Go Volume of Water = sqrt((Cross-Sectional Area of Channel^3)*[g]/Top Width)*Time Interval
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])
Total Energy per unit Weight of Water in Flow Section given Discharge
Go Total Energy = Depth of Flow+(((Discharge of Channel/Cross-Sectional Area of Channel)^2)/(2*[g]))
Area of Section Considering Condition of Maximum Discharge
Go Cross-Sectional Area of Channel = (Discharge of Channel*Discharge of Channel*Top Width/[g])^(1/3)
Depth of Flow given Discharge
Go Depth of Flow = Total Energy-(((Discharge of Channel/Cross-Sectional Area of Channel)^2)/(2*[g]))
Discharge through Section Considering Condition of Minimum Specific Energy
Go Discharge of Channel = sqrt((Cross-Sectional Area of Channel^3)*[g]/Top Width)
Discharge through Section Considering Condition of Maximum Discharge
Go Discharge of Channel = sqrt((Cross-Sectional Area of Channel^3)*[g]/Top Width)
Top Width of Section Considering Condition of Maximum Discharge
Go Top Width = sqrt((Cross-Sectional Area of Channel^3)*[g]/Discharge of Channel)
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)
Mean Velocity of Flow given Froude Number
Go Mean Velocity for Froude Number = Froude Number*sqrt(Diameter of Section*[g])
Froude Number given Velocity
Go Froude Number = Mean Velocity for Froude Number/sqrt([g]*Diameter of Section)
Total Energy per unit Weight of Water in Flow Section
Go Total Energy = ((Mean Velocity^2)/(2*[g]))+Depth of Flow+Height above Datum
Mean Velocity of flow given Total Energy in flow section taking Bed Slope as Datum
Go Mean Velocity = sqrt((Total Energy-(Depth of Flow))*2*[g])
Diameter of Section given Froude Number
Go Diameter of Section = ((Mean Velocity for Froude Number/Froude Number)^2)/[g]
Area of Section of Open Channel Considering Condition of Minimum Specific Energy
Go Cross-Sectional Area of Channel = (Discharge of Channel*Top Width/[g])^(1/3)
Top Width of Section through Section Considering Condition of Minimum Specific Energy
Go Top Width = ((Cross-Sectional Area of Channel^3)*[g]/Discharge of Channel)
Total Energy per unit Weight of Water in Flow Section considering Bed Slope as Datum
Go Total Energy = ((Mean Velocity for Froude Number^2)/(2*[g]))+Depth of Flow
Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum
Go Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g])))
Mean Velocity of Flow through Section Considering Condition of Minimum Specific Energy
Go Mean Velocity = sqrt([g]*Diameter of Section)
Diameter of Section through Section Considering Condition of Minimum Specific Energy
Go Diameter of Section = (Mean Velocity^2)/[g]

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)
Acs = (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 Acs 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 Acs = (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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