Top Width given Hydraulic Radius Calculator

✖Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.ⓘ Depth of Flow [d_f]			+10% -10%
✖Hydraulic Radius of Parabola is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.ⓘ Hydraulic Radius of Parabola [R_H(Para)]			+10% -10%

✖Top Width is defined as the width at the top of the section.ⓘ Top Width given Hydraulic Radius [T]

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Formula

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Top Width given Hydraulic Radius

Formula

`"T" = sqrt((8*("d"_{"f"})^2*"R"_{"H(Para)"})/(2*"d"_{"f"}-3*"R"_{"H(Para)"}))`

Example

`"2.100001m"=sqrt((8*("3.3m")^2*"0.290045m")/(2*"3.3m"-3*"0.290045m"))`

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Download Geometrical Properties of Parabolic Channel Section Formulas PDF

Top Width given Hydraulic Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Top Width = sqrt((8*(Depth of Flow)^2*Hydraulic Radius of Parabola)/(2*Depth of Flow-3*Hydraulic Radius of Parabola))
T = sqrt((8*(d_f)^2*R_H(Para))/(2*d_f-3*R_H(Para)))
This formula uses 1 Functions, 3 Variables

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.
Depth of Flow - (Measured in Meter) - Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.
Hydraulic Radius of Parabola - (Measured in Meter) - Hydraulic Radius of Parabola is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.

STEP 1: Convert Input(s) to Base Unit

Depth of Flow: 3.3 Meter --> 3.3 Meter No Conversion Required
Hydraulic Radius of Parabola: 0.290045 Meter --> 0.290045 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = sqrt((8*(d_f)^2*R_H(Para))/(2*d_f-3*R_H(Para))) --> sqrt((8*(3.3)^2*0.290045)/(2*3.3-3*0.290045))

Evaluating ... ...

T = 2.10000065446558

STEP 3: Convert Result to Output's Unit

2.10000065446558 Meter --> No Conversion Required

FINAL ANSWER

2.10000065446558 ≈ 2.100001 Meter <-- Top Width

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< 13 Geometrical Properties of Parabolic Channel Section Calculators

Top Width given Hydraulic Radius

Go Top Width = sqrt((8*(Depth of Flow)^2*Hydraulic Radius of Parabola)/(2*Depth of Flow-3*Hydraulic Radius of Parabola))

Hydraulic Radius given Width

Go Hydraulic Radius of Parabola = (2*(Top Width)^2*Depth of Flow)/(3*(Top Width)^2+8*(Depth of Flow)^2)

Wetted Perimeter for Parabola

Go Wetted Perimeter of Parabola = Top Width+(8/3)*Depth of Flow*Depth of Flow/Top Width

Depth of Flow given Section Factor for Parabola

Go Depth of Flow = (Section Factor of Parabola/(0.544331054*Top Width))^(2/3)

Top Widths given Section Factor

Go Top Width = Section Factor of Parabola/(0.544331054*(Depth of Flow^1.5))

Depth of Flow given Wetted Area for Parabola

Go Depth of Flow = Wetted Surface Area of Parabola/((2/3)*Top Width)

Top Width given Wetted Area

Go Top Width = Wetted Surface Area of Parabola/((2/3)*Depth of Flow)

Wetted Area

Go Wetted Surface Area of Parabola = (2/3)*Top Width*Depth of Flow

Depth of Flow given Top Width for Parabola

Go Depth of Flow = 1.5*Wetted Surface Area of Parabola/Top Width

Wetted Area given Top Width

Go Wetted Surface Area of Parabola = Top Width*Depth of Flow/1.5

Top Width for Parabola

Go Top Width = 1.5*Wetted Surface Area of Parabola/Depth of Flow

Hydraulic Depth for Parabola

Go Hydraulic Depth of Parabolic Channel = (2/3)*Depth of Flow

Depth of Flow given Hydraulic Depth for Parabola

Go Depth of Flow = Hydraulic Depth of Parabolic Channel*1.5

Top Width given Hydraulic Radius Formula

Top Width = sqrt((8*(Depth of Flow)^2*Hydraulic Radius of Parabola)/(2*Depth of Flow-3*Hydraulic Radius of Parabola))
T = sqrt((8*(d_f)^2*R_H(Para))/(2*d_f-3*R_H(Para)))

What is Hydraulic Radius?

Hydraulic Radius is defined as the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wetted perimeter of the conduit.

How to Calculate Top Width given Hydraulic Radius?

Top Width given Hydraulic Radius calculator uses Top Width = sqrt((8*(Depth of Flow)^2*Hydraulic Radius of Parabola)/(2*Depth of Flow-3*Hydraulic Radius of Parabola)) to calculate the Top Width, Top Width given Hydraulic Radius is defined as the upper length of channel in direction perpendicular to flow. Top Width is denoted by T symbol.

How to calculate Top Width given Hydraulic Radius using this online calculator? To use this online calculator for Top Width given Hydraulic Radius, enter Depth of Flow (d_f) & Hydraulic Radius of Parabola (R_H(Para)) and hit the calculate button. Here is how the Top Width given Hydraulic Radius calculation can be explained with given input values -> 1.328248 = sqrt((8*(3.3)^2*0.290045)/(2*3.3-3*0.290045)).

FAQ

What is Top Width given Hydraulic Radius?

Top Width given Hydraulic Radius is defined as the upper length of channel in direction perpendicular to flow and is represented as T = sqrt((8*(d_f)^2*R_H(Para))/(2*d_f-3*R_H(Para))) or Top Width = sqrt((8*(Depth of Flow)^2*Hydraulic Radius of Parabola)/(2*Depth of Flow-3*Hydraulic Radius of Parabola)). Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights & Hydraulic Radius of Parabola is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.

How to calculate Top Width given Hydraulic Radius?

Top Width given Hydraulic Radius is defined as the upper length of channel in direction perpendicular to flow is calculated using Top Width = sqrt((8*(Depth of Flow)^2*Hydraulic Radius of Parabola)/(2*Depth of Flow-3*Hydraulic Radius of Parabola)). To calculate Top Width given Hydraulic Radius, you need Depth of Flow (d_f) & Hydraulic Radius of Parabola (R_H(Para)). With our tool, you need to enter the respective value for Depth of Flow & Hydraulic Radius of Parabola 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 Depth of Flow & Hydraulic Radius of Parabola. We can use 3 other way(s) to calculate the same, which is/are as follows -

Top Width = Wetted Surface Area of Parabola/((2/3)*Depth of Flow)
Top Width = 1.5*Wetted Surface Area of Parabola/Depth of Flow
Top Width = Section Factor of Parabola/(0.544331054*(Depth of Flow^1.5))

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