Hydraulic Radius given Average Velocity in Channel Calculator

✖Average Velocity of Flow is defined as the mean of all different velocities.ⓘ Average Velocity of Flow [V_avg]			+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%
✖The Darcy Friction Factor is a dimensionless parameter used to describe the resistance to fluid flow in pipes or channels.ⓘ Darcy Friction Factor [f]			+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 Average Velocity in Channel [R_H]

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Hydraulic Radius given Average Velocity in Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic Radius of Channel = (Average Velocity of Flow/(sqrt(8*[g]*Bed Slope/Darcy Friction Factor)))^2
R_H = (V_avg/(sqrt(8*[g]*S/f)))^2
This formula uses 1 Constants, 1 Functions, 4 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

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.
Average Velocity of Flow - (Measured in Meter per Second) - Average Velocity of Flow is defined as the mean of all different velocities.
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.
Darcy Friction Factor - The Darcy Friction Factor is a dimensionless parameter used to describe the resistance to fluid flow in pipes or channels.

STEP 1: Convert Input(s) to Base Unit

Average Velocity of Flow: 0.32 Meter per Second --> 0.32 Meter per Second No Conversion Required
Bed Slope: 0.0004 --> No Conversion Required
Darcy Friction Factor: 0.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_H = (V_avg/(sqrt(8*[g]*S/f)))^2 --> (0.32/(sqrt(8*[g]*0.0004/0.5)))^2

Evaluating ... ...

R_H = 1.63154594076468

STEP 3: Convert Result to Output's Unit

1.63154594076468 Meter --> No Conversion Required

FINAL ANSWER

1.63154594076468 ≈ 1.631546 Meter <-- Hydraulic Radius of Channel

(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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< Average Velocity in Uniform Flow in Channels Calculators

Specific Weight of Liquid given Boundary Shear Stress

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

Slope of Channel Bottom given Boundary Shear Stress

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

Hydraulic Radius given Boundary Shear Stress

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

Boundary Shear Stress

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

Hydraulic Radius given Average Velocity in Channel Formula

LaTeX Go

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

What is Hydraulic Radius?

It is 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 Average Velocity in Channel?

Hydraulic Radius given Average Velocity in Channel calculator uses Hydraulic Radius of Channel = (Average Velocity of Flow/(sqrt(8*[g]*Bed Slope/Darcy Friction Factor)))^2 to calculate the Hydraulic Radius of Channel, The Hydraulic Radius given Average Velocity in Channel formula is defined as the ratio of wetted area to wetted perimeter. Hydraulic Radius of Channel is denoted by R_H symbol.

How to calculate Hydraulic Radius given Average Velocity in Channel using this online calculator? To use this online calculator for Hydraulic Radius given Average Velocity in Channel, enter Average Velocity of Flow (V_avg), Bed Slope (S) & Darcy Friction Factor (f) and hit the calculate button. Here is how the Hydraulic Radius given Average Velocity in Channel calculation can be explained with given input values -> 1.631546 = (0.32/(sqrt(8*[g]*0.0004/0.5)))^2.

FAQ

What is Hydraulic Radius given Average Velocity in Channel?

The Hydraulic Radius given Average Velocity in Channel formula is defined as the ratio of wetted area to wetted perimeter and is represented as R_H = (V_avg/(sqrt(8*[g]*S/f)))^2 or Hydraulic Radius of Channel = (Average Velocity of Flow/(sqrt(8*[g]*Bed Slope/Darcy Friction Factor)))^2. Average Velocity of Flow is defined as the mean of all different velocities, Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow & The Darcy Friction Factor is a dimensionless parameter used to describe the resistance to fluid flow in pipes or channels.

How to calculate Hydraulic Radius given Average Velocity in Channel?

The Hydraulic Radius given Average Velocity in Channel formula is defined as the ratio of wetted area to wetted perimeter is calculated using Hydraulic Radius of Channel = (Average Velocity of Flow/(sqrt(8*[g]*Bed Slope/Darcy Friction Factor)))^2. To calculate Hydraulic Radius given Average Velocity in Channel, you need Average Velocity of Flow (V_avg), Bed Slope (S) & Darcy Friction Factor (f). With our tool, you need to enter the respective value for Average Velocity of Flow, Bed Slope & Darcy Friction Factor 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 Average Velocity of Flow, Bed Slope & Darcy Friction Factor. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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