Average Velocity in Channel Calculator

✖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 of Channel [R_H]			+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%

✖Average Velocity of Flow is defined as the mean of all different velocities.ⓘ Average Velocity in Channel [V_avg]

⎘ Copy

👎

Formula

✖

Average Velocity in Channel

Formula

`"V"_{"avg"} = sqrt(8*"[g]"*"R"_{"H"}*"S"/"f")`

Example

`"0.316891m/s"=sqrt(8*"[g]"*"1.6m"*"0.0004"/"0.5")`

Calculator

LaTeX

Reset

👍

Download Uniform Flow in Channels Formulas PDF PDF Image

Average Velocity in Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Average Velocity of Flow - (Measured in Meter per Second) - Average Velocity of Flow is defined as the mean of all different velocities.
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.
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

Hydraulic Radius of Channel: 1.6 Meter --> 1.6 Meter 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

V_avg = sqrt(8*[g]*R_H*S/f) --> sqrt(8*[g]*1.6*0.0004/0.5)

Evaluating ... ...

V_avg = 0.316891299975244

STEP 3: Convert Result to Output's Unit

0.316891299975244 Meter per Second --> No Conversion Required

FINAL ANSWER

0.316891299975244 ≈ 0.316891 Meter per Second <-- Average Velocity of Flow

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Uniform Flow in Channels » Average Velocity in Uniform Flow in Channels » Average Velocity in Channel

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!

< 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)

Average Velocity in Channel Formula

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

What is Average Velocity?

The average velocity of an object is its total displacement divided by the total time taken. In other words, it is the rate at which an object changes its position from one place to another. Average velocity is a vector quantity.

How to Calculate Average Velocity in Channel?

Average Velocity in Channel calculator uses Average Velocity of Flow = sqrt(8*[g]*Hydraulic Radius of Channel*Bed Slope/Darcy Friction Factor) to calculate the Average Velocity of Flow, The Average Velocity in Channel is defined as velocity at any point of the section in channel in open channel. Average Velocity of Flow is denoted by V_avg symbol.

How to calculate Average Velocity in Channel using this online calculator? To use this online calculator for Average Velocity in Channel, enter Hydraulic Radius of Channel (R_H), Bed Slope (S) & Darcy Friction Factor (f) and hit the calculate button. Here is how the Average Velocity in Channel calculation can be explained with given input values -> 0.316891 = sqrt(8*[g]*1.6*0.0004/0.5).

FAQ

What is Average Velocity in Channel?

The Average Velocity in Channel is defined as velocity at any point of the section in channel in open channel and is represented as V_avg = sqrt(8*[g]*R_H*S/f) or Average Velocity of Flow = sqrt(8*[g]*Hydraulic Radius of Channel*Bed Slope/Darcy Friction Factor). 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, 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 Average Velocity in Channel?

The Average Velocity in Channel is defined as velocity at any point of the section in channel in open channel is calculated using Average Velocity of Flow = sqrt(8*[g]*Hydraulic Radius of Channel*Bed Slope/Darcy Friction Factor). To calculate Average Velocity in Channel, you need Hydraulic Radius of Channel (R_H), Bed Slope (S) & Darcy Friction Factor (f). With our tool, you need to enter the respective value for Hydraulic Radius of Channel, 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.

Home

FREE PDFs

🔍 Search