Hydraulic Radius given Width Calculator

✖Top Width is defined as the width at the top of the section.ⓘ Top Width [T]			+10% -10%
✖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 given Width [R_H(Para)]

⎘ Copy

👎

Formula

✖

Hydraulic Radius given Width

Formula

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

Example

`"0.290045m"=(2*("2.1m")^2*"3.3m")/(3*("2.1m")^2+8*("3.3m")^2)`

Calculator

LaTeX

Reset

👍

Download Geometrical Properties of Parabolic Channel Section Formulas PDF

Hydraulic Radius given Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Top Width: 2.1 Meter --> 2.1 Meter No Conversion Required
Depth of Flow: 3.3 Meter --> 3.3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_H(Para) = (2*(T)^2*d_f)/(3*(T)^2+8*(d_f)^2) --> (2*(2.1)^2*3.3)/(3*(2.1)^2+8*(3.3)^2)

Evaluating ... ...

R_H(Para) = 0.290044843049327

STEP 3: Convert Result to Output's Unit

0.290044843049327 Meter --> No Conversion Required

FINAL ANSWER

0.290044843049327 ≈ 0.290045 Meter <-- Hydraulic Radius of Parabola

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Flow in Open Channels » Geometrical Properties of Channel Section » Geometrical Properties of Parabolic Channel Section » Hydraulic Radius given Width

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!

< 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

Hydraulic Radius given Width Formula

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

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 Hydraulic Radius given Width?

Hydraulic Radius given Width calculator uses Hydraulic Radius of Parabola = (2*(Top Width)^2*Depth of Flow)/(3*(Top Width)^2+8*(Depth of Flow)^2) to calculate the Hydraulic Radius of Parabola, Hydraulic Radius given Width formula is defined as the sectional area of pipe or channel per unit perimeter of section. Hydraulic Radius of Parabola is denoted by R_H(Para) symbol.

How to calculate Hydraulic Radius given Width using this online calculator? To use this online calculator for Hydraulic Radius given Width, enter Top Width (T) & Depth of Flow (d_f) and hit the calculate button. Here is how the Hydraulic Radius given Width calculation can be explained with given input values -> 0.290045 = (2*(2.1)^2*3.3)/(3*(2.1)^2+8*(3.3)^2).

FAQ

What is Hydraulic Radius given Width?

Hydraulic Radius given Width formula is defined as the sectional area of pipe or channel per unit perimeter of section and is represented as R_H(Para) = (2*(T)^2*d_f)/(3*(T)^2+8*(d_f)^2) or Hydraulic Radius of Parabola = (2*(Top Width)^2*Depth of Flow)/(3*(Top Width)^2+8*(Depth of Flow)^2). Top Width is defined as the width at the top of the section & 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.

How to calculate Hydraulic Radius given Width?

Hydraulic Radius given Width formula is defined as the sectional area of pipe or channel per unit perimeter of section is calculated using Hydraulic Radius of Parabola = (2*(Top Width)^2*Depth of Flow)/(3*(Top Width)^2+8*(Depth of Flow)^2). To calculate Hydraulic Radius given Width, you need Top Width (T) & Depth of Flow (d_f). With our tool, you need to enter the respective value for Top Width & Depth of Flow and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search