Hydraulic Radius given Boundary Shear Stress Calculator

✖Shear Stress of Wall is defined as the shear stress in the layer of fluid next to the wall of a pipe.ⓘ Shear Stress of Wall [ζ₀]			+10% -10%
✖Liquid Specific Weight is also known as the unit weight, is the weight per unit volume of the liquid. For Example - Specific weight of water on Earth at 4°C is 9.807 kN/m3 or 62.43 lbf/ft3.ⓘ Liquid Specific Weight [γ_l]			+10% -10%
✖Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.ⓘ Bed Slope [S]			+10% -10%

✖Hydraulic Radius of Channel 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 Boundary Shear Stress [R_H]

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Formula

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Hydraulic Radius given Boundary Shear Stress

Formula

`"R"_{"H"} = "ζ"_{"0"}/("γ"_{"l"}*"S")`

Example

`"1.605505m"="6.3Pa"/("9.81kN/m³"*"0.0004")`

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Hydraulic Radius given Boundary Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic Radius of Channel = Shear Stress of Wall/(Liquid Specific Weight*Bed Slope)
R_H = ζ₀/(γ_l*S)
This formula uses 4 Variables

Variables Used

Hydraulic Radius of Channel - (Measured in Meter) - Hydraulic Radius of Channel 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.
Shear Stress of Wall - (Measured in Pascal) - Shear Stress of Wall is defined as the shear stress in the layer of fluid next to the wall of a pipe.
Liquid Specific Weight - (Measured in Newton per Cubic Meter) - Liquid Specific Weight is also known as the unit weight, is the weight per unit volume of the liquid. For Example - Specific weight of water on Earth at 4°C is 9.807 kN/m3 or 62.43 lbf/ft3.
Bed Slope - Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.

STEP 1: Convert Input(s) to Base Unit

Shear Stress of Wall: 6.3 Pascal --> 6.3 Pascal No Conversion Required
Liquid Specific Weight: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Bed Slope: 0.0004 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_H = ζ₀/(γ_l*S) --> 6.3/(9810*0.0004)

Evaluating ... ...

R_H = 1.60550458715596

STEP 3: Convert Result to Output's Unit

1.60550458715596 Meter --> No Conversion Required

FINAL ANSWER

1.60550458715596 ≈ 1.605505 Meter <-- Hydraulic Radius of Channel

(Calculation completed in 00.004 seconds)

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< 9 Average Velocity in Uniform Flow in Channels Calculators

Slope of Channel Bed given Average Velocity in Channel

Go Bed Slope = (Average Velocity of Flow/(sqrt(8*[g]*Hydraulic Radius of Channel/Darcy Friction Factor)))^2

Hydraulic Radius given Average Velocity in Channel

Go Hydraulic Radius of Channel = (Average Velocity of Flow/(sqrt(8*[g]*Bed Slope/Darcy Friction Factor)))^2

Average Velocity in Channel

Go Average Velocity of Flow = sqrt(8*[g]*Hydraulic Radius of Channel*Bed Slope/Darcy Friction Factor)

Friction Factor given Average Velocity in Channel

Go Darcy Friction Factor = (8*[g]*Hydraulic Radius of Channel*Bed Slope/Average Velocity of Flow^2)

Specific Weight of Liquid given Boundary Shear Stress

Go Liquid Specific Weight = Shear Stress of Wall/(Hydraulic Radius of Channel*Bed Slope)

Slope of Channel Bottom given Boundary Shear Stress

Go Bed Slope = Shear Stress of Wall/(Liquid Specific Weight*Hydraulic Radius of Channel)

Hydraulic Radius given Boundary Shear Stress

Go Hydraulic Radius of Channel = Shear Stress of Wall/(Liquid Specific Weight*Bed Slope)

Boundary Shear Stress

Go Shear Stress of Wall = Liquid Specific Weight*Hydraulic Radius of Channel*Bed Slope

Strickler Formula for Average Height of Roughness Protrusions

Go Roughness Value = (21*Manning’s Roughness Coefficient)^(6)

Hydraulic Radius given Boundary Shear Stress Formula

Hydraulic Radius of Channel = Shear Stress of Wall/(Liquid Specific Weight*Bed Slope)
R_H = ζ₀/(γ_l*S)

What is Hydraulic Radius?

It is 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 Boundary Shear Stress?

Hydraulic Radius given Boundary Shear Stress calculator uses Hydraulic Radius of Channel = Shear Stress of Wall/(Liquid Specific Weight*Bed Slope) to calculate the Hydraulic Radius of Channel, The Hydraulic Radius given Boundary Shear Stress is defined as the ratio of wetted area to perimeter of section. Hydraulic Radius of Channel is denoted by R_H symbol.

How to calculate Hydraulic Radius given Boundary Shear Stress using this online calculator? To use this online calculator for Hydraulic Radius given Boundary Shear Stress, enter Shear Stress of Wall (ζ₀), Liquid Specific Weight (γ_l) & Bed Slope (S) and hit the calculate button. Here is how the Hydraulic Radius given Boundary Shear Stress calculation can be explained with given input values -> 1.605505 = 6.3/(9810*0.0004).

FAQ

What is Hydraulic Radius given Boundary Shear Stress?

The Hydraulic Radius given Boundary Shear Stress is defined as the ratio of wetted area to perimeter of section and is represented as R_H = ζ₀/(γ_l*S) or Hydraulic Radius of Channel = Shear Stress of Wall/(Liquid Specific Weight*Bed Slope). Shear Stress of Wall is defined as the shear stress in the layer of fluid next to the wall of a pipe, Liquid Specific Weight is also known as the unit weight, is the weight per unit volume of the liquid. For Example - Specific weight of water on Earth at 4°C is 9.807 kN/m3 or 62.43 lbf/ft3 & Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.

How to calculate Hydraulic Radius given Boundary Shear Stress?

The Hydraulic Radius given Boundary Shear Stress is defined as the ratio of wetted area to perimeter of section is calculated using Hydraulic Radius of Channel = Shear Stress of Wall/(Liquid Specific Weight*Bed Slope). To calculate Hydraulic Radius given Boundary Shear Stress, you need Shear Stress of Wall (ζ₀), Liquid Specific Weight (γ_l) & Bed Slope (S). With our tool, you need to enter the respective value for Shear Stress of Wall, Liquid Specific Weight & Bed Slope 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 Hydraulic Radius of Channel?

In this formula, Hydraulic Radius of Channel uses Shear Stress of Wall, Liquid Specific Weight & Bed Slope. We can use 1 other way(s) to calculate the same, which is/are as follows -

Hydraulic Radius of Channel = (Average Velocity of Flow/(sqrt(8*[g]*Bed Slope/Darcy Friction Factor)))^2

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