Hydraulic Radius given Mean Velocity of flow in Smooth Channels Calculator

✖Average Velocity of Turbulent flow is defined as the mean of all different velocities.ⓘ Average Velocity of Turbulent flow [V_avg(Tur)]			+10% -10%
✖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%
✖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%

✖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 Mean Velocity of flow in Smooth Channels [R_H]

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Hydraulic Radius given Mean Velocity of flow in Smooth Channels Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic Radius of Channel = (10^(((Average Velocity of Turbulent flow/Shear Velocity)-3.25)/5.75))*(Kinematic Viscosity of Turbulent Flow/Shear Velocity)
R_H = (10^(((V_avg(Tur)/V_shear)-3.25)/5.75))*(ν_Tur/V_shear)
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.
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.
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

Average Velocity of Turbulent flow: 380 Meter per Second --> 380 Meter per Second No Conversion Required
Shear Velocity: 9 Meter per Second --> 9 Meter per Second 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

R_H = (10^(((V_avg(Tur)/V_shear)-3.25)/5.75))*(ν_Tur/V_shear) --> (10^(((380/9)-3.25)/5.75))*(2.9E-06/9)

Evaluating ... ...

R_H = 1.93167147324992

STEP 3: Convert Result to Output's Unit

1.93167147324992 Meter --> No Conversion Required

FINAL ANSWER

1.93167147324992 ≈ 1.931671 Meter <-- Hydraulic Radius of Channel

(Calculation completed in 00.020 seconds)

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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))

Hydraulic Radius given 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 Hydraulic Radius given Mean Velocity of flow in Smooth Channels?

Hydraulic Radius given Mean Velocity of flow in Smooth Channels calculator uses Hydraulic Radius of Channel = (10^(((Average Velocity of Turbulent flow/Shear Velocity)-3.25)/5.75))*(Kinematic Viscosity of Turbulent Flow/Shear Velocity) to calculate the Hydraulic Radius of Channel, The Hydraulic Radius given Mean Velocity of flow in Smooth Channels formula is defined as the area to perimeter ratio. Hydraulic Radius of Channel is denoted by R_H symbol.

How to calculate Hydraulic Radius given Mean Velocity of flow in Smooth Channels using this online calculator? To use this online calculator for Hydraulic Radius given Mean Velocity of flow in Smooth Channels, enter Average Velocity of Turbulent flow (V_avg(Tur)), Shear Velocity (V_shear) & Kinematic Viscosity of Turbulent Flow (ν_Tur) and hit the calculate button. Here is how the Hydraulic Radius given Mean Velocity of flow in Smooth Channels calculation can be explained with given input values -> 1.931671 = (10^(((380/9)-3.25)/5.75))*(2.9E-06/9).

FAQ

What is Hydraulic Radius given Mean Velocity of flow in Smooth Channels?

The Hydraulic Radius given Mean Velocity of flow in Smooth Channels formula is defined as the area to perimeter ratio and is represented as R_H = (10^(((V_avg(Tur)/V_shear)-3.25)/5.75))*(ν_Tur/V_shear) or Hydraulic Radius of Channel = (10^(((Average Velocity of Turbulent flow/Shear Velocity)-3.25)/5.75))*(Kinematic Viscosity of Turbulent Flow/Shear Velocity). Average Velocity of Turbulent flow is defined as the mean of all different velocities, 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 & 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 Hydraulic Radius given Mean Velocity of flow in Smooth Channels?

The Hydraulic Radius given Mean Velocity of flow in Smooth Channels formula is defined as the area to perimeter ratio is calculated using Hydraulic Radius of Channel = (10^(((Average Velocity of Turbulent flow/Shear Velocity)-3.25)/5.75))*(Kinematic Viscosity of Turbulent Flow/Shear Velocity). To calculate Hydraulic Radius given Mean Velocity of flow in Smooth Channels, you need Average Velocity of Turbulent flow (V_avg(Tur)), Shear Velocity (V_shear) & Kinematic Viscosity of Turbulent Flow (ν_Tur). With our tool, you need to enter the respective value for Average Velocity of Turbulent flow, Shear Velocity & 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 Hydraulic Radius of Channel?

In this formula, Hydraulic Radius of Channel uses Average Velocity of Turbulent flow, Shear Velocity & Kinematic Viscosity of Turbulent Flow. We can use 2 other way(s) to calculate the same, which is/are as follows -

Hydraulic Radius of Channel = (10^(((Average Velocity of Turbulent flow/Shear Velocity)-6.25)/5.75))*Roughness Value
Hydraulic Radius of Channel = ((10^(Chezy's Constant/18))*Roughness Value)/12.2

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