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

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Kinematic Viscosity given Mean Velocity of flow in Smooth Channels Solution

STEP 0: Pre-Calculation Summary

Formula Used

Kinematic Viscosity of Turbulent Flow = (Hydraulic Radius of Channel*Shear Velocity)/(10^(((Average Velocity of Turbulent flow/Shear Velocity)-3.25)/5.75))
ν_Tur = (R_H*V_shear)/(10^(((V_avg(Tur)/V_shear)-3.25)/5.75))
This formula uses 4 Variables

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Hydraulic Radius of Channel: 1.6 Meter --> 1.6 Meter No Conversion Required
Shear Velocity: 9 Meter per Second --> 9 Meter per Second No Conversion Required
Average Velocity of Turbulent flow: 380 Meter per Second --> 380 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ν_Tur = (R_H*V_shear)/(10^(((V_avg(Tur)/V_shear)-3.25)/5.75)) --> (1.6*9)/(10^(((380/9)-3.25)/5.75))

Evaluating ... ...

ν_Tur = 2.40206477356808E-06

STEP 3: Convert Result to Output's Unit

2.40206477356808E-06 Square Meter per Second -->0.0240206477356808 Stokes (Check conversion here)

FINAL ANSWER

0.0240206477356808 ≈ 0.024021 Stokes <-- Kinematic Viscosity 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))

Kinematic Viscosity 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 Kinematic Viscosity given Mean Velocity of flow in Smooth Channels?

Kinematic Viscosity given Mean Velocity of flow in Smooth Channels calculator uses Kinematic Viscosity of Turbulent Flow = (Hydraulic Radius of Channel*Shear Velocity)/(10^(((Average Velocity of Turbulent flow/Shear Velocity)-3.25)/5.75)) to calculate the Kinematic Viscosity of Turbulent Flow, The Kinematic Viscosity given Mean Velocity of flow in Smooth Channels formula is defined as dynamic viscosity per unit density of fluid. Kinematic Viscosity of Turbulent Flow is denoted by ν_Tur symbol.

How to calculate Kinematic Viscosity given Mean Velocity of flow in Smooth Channels using this online calculator? To use this online calculator for Kinematic Viscosity given Mean Velocity of flow in Smooth Channels, enter Hydraulic Radius of Channel (R_H), Shear Velocity (V_shear) & Average Velocity of Turbulent flow (V_avg(Tur)) and hit the calculate button. Here is how the Kinematic Viscosity given Mean Velocity of flow in Smooth Channels calculation can be explained with given input values -> 240.2065 = (1.6*9)/(10^(((380/9)-3.25)/5.75)).

FAQ

What is Kinematic Viscosity given Mean Velocity of flow in Smooth Channels?

The Kinematic Viscosity given Mean Velocity of flow in Smooth Channels formula is defined as dynamic viscosity per unit density of fluid and is represented as ν_Tur = (R_H*V_shear)/(10^(((V_avg(Tur)/V_shear)-3.25)/5.75)) or 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 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, 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 & Average Velocity of Turbulent flow is defined as the mean of all different velocities.

How to calculate Kinematic Viscosity given Mean Velocity of flow in Smooth Channels?

The Kinematic Viscosity given Mean Velocity of flow in Smooth Channels formula is defined as dynamic viscosity per unit density of fluid is calculated using Kinematic Viscosity of Turbulent Flow = (Hydraulic Radius of Channel*Shear Velocity)/(10^(((Average Velocity of Turbulent flow/Shear Velocity)-3.25)/5.75)). To calculate Kinematic Viscosity given Mean Velocity of flow in Smooth Channels, you need Hydraulic Radius of Channel (R_H), Shear Velocity (V_shear) & Average Velocity of Turbulent flow (V_avg(Tur)). With our tool, you need to enter the respective value for Hydraulic Radius of Channel, Shear Velocity & Average Velocity of Turbulent flow and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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