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]

⎘ Copy

👎

Formula

✖

Top Width of Section Considering Condition of Maximum Discharge

Formula

`"T" = sqrt(("A"_{"cs"}^3)*"[g]"/"Q")`

Example

`"5.247044m"=sqrt((("3.4m²")^3)*"[g]"/"14m³/s")`

Calculator

LaTeX

Reset

👍

Download Specific Energy and Critical Depth Formulas PDF

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 00.020 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Flow in Open Channels » Specific Energy and Critical Depth » Top Width of Section Considering Condition of Maximum Discharge

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 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]

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)

Home

FREE PDFs

🔍 Search