Mean Velocity of flow in Smooth Channels Calculator

✖The Shear Velocity refers to the measure of the shear stress exerted by the fluid flow on the boundary, such as the bed of a river or the walls of a pipe.ⓘ Shear Velocity [V_shear]			+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 of Channel [R_H]			+10% -10%
✖Kinematic Viscosity of Turbulent Flow is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.ⓘ Kinematic Viscosity of Turbulent Flow [ν_Tur]			+10% -10%

✖Average Velocity of Turbulent flow is defined as the mean of all different velocities.ⓘ Mean Velocity of flow in Smooth Channels [V_avg(Tur)]

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Mean Velocity of flow in Smooth Channels Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Velocity of Turbulent flow = Shear Velocity*(3.25+5.75*log10(Hydraulic Radius of Channel*Shear Velocity/Kinematic Viscosity of Turbulent Flow))
V_avg(Tur) = V_shear*(3.25+5.75*log10(R_H*V_shear/ν_Tur))
This formula uses 1 Functions, 4 Variables

Functions Used

log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)

Variables Used

Average Velocity of Turbulent flow - (Measured in Meter per Second) - Average Velocity of Turbulent flow is defined as the mean of all different velocities.
Shear Velocity - (Measured in Meter per Second) - The Shear Velocity refers to the measure of the shear stress exerted by the fluid flow on the boundary, such as the bed of a river or the walls of a pipe.
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.
Kinematic Viscosity of Turbulent Flow - (Measured in Square Meter per Second) - Kinematic Viscosity of Turbulent Flow is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.

STEP 1: Convert Input(s) to Base Unit

Shear Velocity: 9 Meter per Second --> 9 Meter per Second No Conversion Required
Hydraulic Radius of Channel: 1.6 Meter --> 1.6 Meter No Conversion Required
Kinematic Viscosity of Turbulent Flow: 0.029 Stokes --> 2.9E-06 Square Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_avg(Tur) = V_shear*(3.25+5.75*log10(R_H*V_shear/ν_Tur)) --> 9*(3.25+5.75*log10(1.6*9/2.9E-06))

Evaluating ... ...

V_avg(Tur) = 375.766162574658

STEP 3: Convert Result to Output's Unit

375.766162574658 Meter per Second --> No Conversion Required

FINAL ANSWER

375.766162574658 ≈ 375.7662 Meter per Second <-- Average Velocity of Turbulent flow

(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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< Uniform Turbulent Flow Calculators

Mean Velocity of flow in Smooth Channels

LaTeX Go Average Velocity of Turbulent flow = Shear Velocity*(3.25+5.75*log10(Hydraulic Radius of Channel*Shear Velocity/Kinematic Viscosity of Turbulent Flow))

Kinematic Viscosity given Mean Velocity of flow in Smooth Channels

LaTeX Go Kinematic Viscosity of Turbulent Flow = (Hydraulic Radius of Channel*Shear Velocity)/(10^(((Average Velocity of Turbulent flow/Shear Velocity)-3.25)/5.75))

Hydraulic Radius given Mean Velocity of flow in Smooth Channels

LaTeX Go Hydraulic Radius of Channel = (10^(((Average Velocity of Turbulent flow/Shear Velocity)-3.25)/5.75))*(Kinematic Viscosity of Turbulent Flow/Shear Velocity)

Mean Velocity of flow in Rough Channels

LaTeX Go Average Velocity of Turbulent flow = Shear Velocity*(6.25+5.75*log10(Hydraulic Radius of Channel/Roughness Value))

Mean Velocity of flow in Smooth Channels Formula

LaTeX Go

What is Turbulent Flow?

In fluid dynamics, turbulence or turbulent flow is fluid motion characterized by chaotic changes in pressure and flow velocity. It is in contrast to a laminar flow, which occurs when a fluid flows in parallel layers, with no disruption between those layers.

How to Calculate Mean Velocity of flow in Smooth Channels?

Mean Velocity of flow in Smooth Channels calculator uses Average Velocity of Turbulent flow = Shear Velocity*(3.25+5.75*log10(Hydraulic Radius of Channel*Shear Velocity/Kinematic Viscosity of Turbulent Flow)) to calculate the Average Velocity of Turbulent flow, The Mean Velocity of flow in Smooth Channels is defined as the velocity in turbulent flow in smooth channel across the boundary. Average Velocity of Turbulent flow is denoted by V_avg(Tur) symbol.

How to calculate Mean Velocity of flow in Smooth Channels using this online calculator? To use this online calculator for Mean Velocity of flow in Smooth Channels, enter Shear Velocity (V_shear), Hydraulic Radius of Channel (R_H) & Kinematic Viscosity of Turbulent Flow (ν_Tur) and hit the calculate button. Here is how the Mean Velocity of flow in Smooth Channels calculation can be explained with given input values -> 375.7662 = 9*(3.25+5.75*log10(1.6*9/2.9E-06)).

FAQ

What is Mean Velocity of flow in Smooth Channels?

The Mean Velocity of flow in Smooth Channels is defined as the velocity in turbulent flow in smooth channel across the boundary and is represented as V_avg(Tur) = V_shear*(3.25+5.75*log10(R_H*V_shear/ν_Tur)) or Average Velocity of Turbulent flow = Shear Velocity*(3.25+5.75*log10(Hydraulic Radius of Channel*Shear Velocity/Kinematic Viscosity of Turbulent Flow)). The Shear Velocity refers to the measure of the shear stress exerted by the fluid flow on the boundary, such as the bed of a river or the walls of a pipe, 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 & Kinematic Viscosity of Turbulent Flow is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.

How to calculate Mean Velocity of flow in Smooth Channels?

The Mean Velocity of flow in Smooth Channels is defined as the velocity in turbulent flow in smooth channel across the boundary is calculated using Average Velocity of Turbulent flow = Shear Velocity*(3.25+5.75*log10(Hydraulic Radius of Channel*Shear Velocity/Kinematic Viscosity of Turbulent Flow)). To calculate Mean Velocity of flow in Smooth Channels, you need Shear Velocity (V_shear), Hydraulic Radius of Channel (R_H) & Kinematic Viscosity of Turbulent Flow (ν_Tur). With our tool, you need to enter the respective value for Shear Velocity, Hydraulic Radius of Channel & Kinematic Viscosity of Turbulent Flow 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 Average Velocity of Turbulent flow?

In this formula, Average Velocity of Turbulent flow uses Shear Velocity, Hydraulic Radius of Channel & Kinematic Viscosity of Turbulent Flow. We can use 1 other way(s) to calculate the same, which is/are as follows -

Average Velocity of Turbulent flow = Shear Velocity*(6.25+5.75*log10(Hydraulic Radius of Channel/Roughness Value))

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