Hydraulic Radius of Open Channel Calculator

✖Width of Section of Rect Channel is the width of the rectangular cross-section of the beam parallel to the axis in consideration.ⓘ Width of Section of Rect Channel [B_rect]			+10% -10%
✖Depth of Flow of Channel 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 of Channel [D_f]			+10% -10%

✖Hydraulic Radius of Rectangle 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 Open Channel [R_H(rect)]

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Formula

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Hydraulic Radius of Open Channel

Formula

`"R"_{"H(rect)"} = ("B"_{"rect"}*"D"_{"f"})/("B"_{"rect"}+2*"D"_{"f"})`

Example

`"2.6m"=("10.4m"*"5.2m")/("10.4m"+2*"5.2m")`

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Download Geometrical Properties of Rectangular Channel Section Formulas PDF

Hydraulic Radius of Open Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic Radius of Rectangle = (Width of Section of Rect Channel*Depth of Flow of Channel)/(Width of Section of Rect Channel+2*Depth of Flow of Channel)
R_H(rect) = (B_rect*D_f)/(B_rect+2*D_f)
This formula uses 3 Variables

Variables Used

Hydraulic Radius of Rectangle - (Measured in Meter) - Hydraulic Radius of Rectangle 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.
Width of Section of Rect Channel - (Measured in Meter) - Width of Section of Rect Channel is the width of the rectangular cross-section of the beam parallel to the axis in consideration.
Depth of Flow of Channel - (Measured in Meter) - Depth of Flow of Channel 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

Width of Section of Rect Channel: 10.4 Meter --> 10.4 Meter No Conversion Required
Depth of Flow of Channel: 5.2 Meter --> 5.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_H(rect) = (B_rect*D_f)/(B_rect+2*D_f) --> (10.4*5.2)/(10.4+2*5.2)

Evaluating ... ...

R_H(rect) = 2.6

STEP 3: Convert Result to Output's Unit

2.6 Meter --> No Conversion Required

FINAL ANSWER

2.6 Meter <-- Hydraulic Radius of Rectangle

(Calculation completed in 00.004 seconds)

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Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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

Verified by M Naveen

National Institute of Technology (NIT), Warangal

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< 12 Geometrical Properties of Rectangular Channel Section Calculators

Depth of Flow given Hydraulic Radius in Rectangle

Go Depth of Flow of Channel = Width of Section of Rect Channel*Hydraulic Radius of Rectangle/(Width of Section of Rect Channel-2*Hydraulic Radius of Rectangle)

Hydraulic Radius of Open Channel

Go Hydraulic Radius of Rectangle = (Width of Section of Rect Channel*Depth of Flow of Channel)/(Width of Section of Rect Channel+2*Depth of Flow of Channel)

Width of Section given Hydraulic Radius of Rectangle

Go Width of Section of Rect Channel = (2*Hydraulic Radius of Rectangle*Depth of Flow of Channel)/(Depth of Flow of Channel-Hydraulic Radius of Rectangle)

Depth of Flow given Section Factor for Rectangle Channel

Go Depth of Flow of Channel = (Section Factor of Rectangle/Width of Section of Rect Channel)^(2/3)

Depth of Flow given Wetted Perimeter for Rectangle

Go Depth of Flow of Channel = (Wetted Perimeter of Rectangle-Width of Section of Rect Channel)*0.5

Width of Section given Section Factor

Go Width of Section of Rect Channel = Section Factor of Rectangle/(Depth of Flow of Channel^1.5)

Depth of Flow given Wetted Area for Rectangle

Go Depth of Flow of Channel = Wetted Surface Area of Rectangle/Width of Section of Rect Channel

Width of Section given Wetted Areas

Go Width of Section of Rect Channel = Wetted Surface Area of Rectangle/Depth of Flow of Channel

Wetted Area for Rectangle

Go Wetted Surface Area of Rectangle = Width of Section of Rect Channel*Depth of Flow of Channel

Wetted Perimeter for Rectangular Section

Go Wetted Perimeter of Rectangle = Width of Section of Rect Channel+2*Depth of Flow of Channel

Width of Section given Perimeter

Go Width of Section of Rect Channel = Wetted Perimeter of Rectangle-2*Depth of Flow of Channel

Section Factor for Rectangle

Go Section Factor of Rectangle = Width of Section of Rect Channel*Depth of Flow of Channel^1.5

Hydraulic Radius of Open Channel Formula

Hydraulic Radius of Rectangle = (Width of Section of Rect Channel*Depth of Flow of Channel)/(Width of Section of Rect Channel+2*Depth of Flow of Channel)
R_H(rect) = (B_rect*D_f)/(B_rect+2*D_f)

What is Hydraulic Radius ?

The cross section of water flowing through a channel or pipe divided by the wetted perimeter of the conduit. Synonym of: hydraulic radius.

How to Calculate Hydraulic Radius of Open Channel?

Hydraulic Radius of Open Channel calculator uses Hydraulic Radius of Rectangle = (Width of Section of Rect Channel*Depth of Flow of Channel)/(Width of Section of Rect Channel+2*Depth of Flow of Channel) to calculate the Hydraulic Radius of Rectangle, The Hydraulic Radius of Open Channel formula is defined as the ratio of area to that of perimeter taken into account the wetted one. Hydraulic Radius of Rectangle is denoted by R_H(rect) symbol.

How to calculate Hydraulic Radius of Open Channel using this online calculator? To use this online calculator for Hydraulic Radius of Open Channel, enter Width of Section of Rect Channel (B_rect) & Depth of Flow of Channel (D_f) and hit the calculate button. Here is how the Hydraulic Radius of Open Channel calculation can be explained with given input values -> 2.6 = (10.4*5.2)/(10.4+2*5.2).

FAQ

What is Hydraulic Radius of Open Channel?

The Hydraulic Radius of Open Channel formula is defined as the ratio of area to that of perimeter taken into account the wetted one and is represented as R_H(rect) = (B_rect*D_f)/(B_rect+2*D_f) or Hydraulic Radius of Rectangle = (Width of Section of Rect Channel*Depth of Flow of Channel)/(Width of Section of Rect Channel+2*Depth of Flow of Channel). Width of Section of Rect Channel is the width of the rectangular cross-section of the beam parallel to the axis in consideration & Depth of Flow of Channel 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 of Open Channel?

The Hydraulic Radius of Open Channel formula is defined as the ratio of area to that of perimeter taken into account the wetted one is calculated using Hydraulic Radius of Rectangle = (Width of Section of Rect Channel*Depth of Flow of Channel)/(Width of Section of Rect Channel+2*Depth of Flow of Channel). To calculate Hydraulic Radius of Open Channel, you need Width of Section of Rect Channel (B_rect) & Depth of Flow of Channel (D_f). With our tool, you need to enter the respective value for Width of Section of Rect Channel & Depth of Flow of Channel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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