Turbulence Calculator

✖Density 2 is defined as the density of the fluid at point 2.ⓘ Density 2 [ρ₂]			+10% -10%
✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+10% -10%
✖Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.ⓘ Fluid Velocity [u_f]			+10% -10%

✖Turbulence will give rise to velocity fluctuations in both the horizontal (velocity u) and vertical (velocity w) directions characterized by u' and w'. The associated momentum fluctuation is called the turbulent stress or Reynolds stress.ⓘ Turbulence [Tstress]

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Formula

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Turbulence

Formula

`"Tstress" = "ρ"_{"2"}*"μ"_{"viscosity"}*"u"_{"f"}`

Example

`"8568Pa"="700kg/m³"*"10.2P"*"12m/s"`

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Turbulence Solution

STEP 0: Pre-Calculation Summary

Formula Used

Turbulence = Density 2*Dynamic Viscosity*Fluid Velocity
Tstress = ρ₂*μ_viscosity*u_f
This formula uses 4 Variables

Variables Used

Turbulence - (Measured in Pascal) - Turbulence will give rise to velocity fluctuations in both the horizontal (velocity u) and vertical (velocity w) directions characterized by u' and w'. The associated momentum fluctuation is called the turbulent stress or Reynolds stress.
Density 2 - (Measured in Kilogram per Cubic Meter) - Density 2 is defined as the density of the fluid at point 2.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
Fluid Velocity - (Measured in Meter per Second) - Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.

STEP 1: Convert Input(s) to Base Unit

Density 2: 700 Kilogram per Cubic Meter --> 700 Kilogram per Cubic Meter No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Fluid Velocity: 12 Meter per Second --> 12 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Tstress = ρ₂*μ_viscosity*u_f --> 700*1.02*12

Evaluating ... ...

Tstress = 8568

STEP 3: Convert Result to Output's Unit

8568 Pascal --> No Conversion Required

FINAL ANSWER

8568 Pascal <-- Turbulence

(Calculation completed in 00.004 seconds)

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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

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< 14 Fluid Mechanics Basics Calculators

Equation of Continuity for Compressible Fluids

Go Velocity of the fluid at 1 = (Cross-Sectional Area at Point 2*Velocity of the fluid at 2*Density 2)/(Cross-Sectional Area at Point 1*Density 1)

Equation of Continuity for Incompressible Fluids

Go Velocity of the fluid at 1 = (Cross-Sectional Area at Point 2*Velocity of the fluid at 2)/Cross-Sectional Area at Point 1

Cavitation Number

Go Cavitation number = (Pressure-Vapour Pressure)/(Mass Density*(Fluid Velocity^2)/2)

Turbulence

Go Turbulence = Density 2*Dynamic Viscosity*Fluid Velocity

Unstable Equilibrium of Floating Body

Go Metacentric Height = Distance between Point B and G-Distance between Point B and M

Knudsen Number

Go Knudsen Number = Mean Free Path of Molecule/Characteristic Length of Flow

Kinematic Viscosity

Go Kinematic Viscosity of Liquid = Dynamic Viscosity of Fluid/Mass Density

Stagnation Pressure Head

Go Stagnation Pressure Head = Static Pressure Head+Dynamic Pressure Head

Weight Density given Specific Weight

Go Weight Density = Specific Weight/Acceleration due to Gravity

Weight

Go Weight of Body = Mass*Acceleration due to Gravity

Bulk Modulus given Volume Stress and Strain

Go Bulk Modulus = Volume Stress/Volumetric Strain

Vorticity

Go Vorticity = Circulation/Area of fluid

Specific Volume

Go Specific Volume = Volume/Mass

Sensitivity of Inclined Manometer

Go Sensitivity = 1/sin(Angle)

Turbulence Formula

Turbulence = Density 2*Dynamic Viscosity*Fluid Velocity
Tstress = ρ₂*μ_viscosity*u_f

What is Turbulence?

How to Calculate Turbulence?

Turbulence calculator uses Turbulence = Density 2*Dynamic Viscosity*Fluid Velocity to calculate the Turbulence, Turbulence will give rise to velocity fluctuations in both the horizontal (velocity u) and vertical (velocity w) directions characterized by u' and w'. The associated momentum fluctuation is called the turbulent stress or Reynolds stress. Turbulence is denoted by Tstress symbol.

How to calculate Turbulence using this online calculator? To use this online calculator for Turbulence, enter Density 2 (ρ₂), Dynamic Viscosity (μ_viscosity) & Fluid Velocity (u_f) and hit the calculate button. Here is how the Turbulence calculation can be explained with given input values -> 8568 = 700*1.02*12.

FAQ

What is Turbulence?

Turbulence will give rise to velocity fluctuations in both the horizontal (velocity u) and vertical (velocity w) directions characterized by u' and w'. The associated momentum fluctuation is called the turbulent stress or Reynolds stress and is represented as Tstress = ρ₂*μ_viscosity*u_f or Turbulence = Density 2*Dynamic Viscosity*Fluid Velocity. Density 2 is defined as the density of the fluid at point 2, The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied & Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.

How to calculate Turbulence?

Turbulence will give rise to velocity fluctuations in both the horizontal (velocity u) and vertical (velocity w) directions characterized by u' and w'. The associated momentum fluctuation is called the turbulent stress or Reynolds stress is calculated using Turbulence = Density 2*Dynamic Viscosity*Fluid Velocity. To calculate Turbulence, you need Density 2 (ρ₂), Dynamic Viscosity (μ_viscosity) & Fluid Velocity (u_f). With our tool, you need to enter the respective value for Density 2, Dynamic Viscosity & Fluid Velocity 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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