Eddy Viscosity Calculation Calculator

✖Transition thermal conductivity is the thermal conductivity of the fluid during transition of laminar to turbulent flow.ⓘ Transition Thermal Conductivity [k_T]			+10% -10%
✖Transient Prandtl Number is the prattle number of the flow in when the laminar flow changes transition flow.ⓘ Transient Prandtl Number [Pr_T]			+10% -10%
✖Molar Specific Heat Capacity at Constant Pressure, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure.ⓘ Molar Specific Heat Capacity at Constant Pressure [C_{p molar}]			+10% -10%

✖Eddy viscosity is the proportionality factor describing the turbulent transfer of energy as a result of moving eddies, giving rise to tangential stresses.ⓘ Eddy Viscosity Calculation [μ_T]

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Formula

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Eddy Viscosity Calculation

Formula

`"μ"_{"T"} = ("k"_{"T"}*"Pr"_{"T"})/"C"_{"p molar"}`

Example

`"22.03279P"=("112W/(m*K)"*"2.4")/"122J/K*mol"`

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Eddy Viscosity Calculation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Eddy Viscosity = (Transition Thermal Conductivity*Transient Prandtl Number)/Molar Specific Heat Capacity at Constant Pressure
μ_T = (k_T*Pr_T)/C_{p molar}
This formula uses 4 Variables

Variables Used

Eddy Viscosity - (Measured in Pascal Second) - Eddy viscosity is the proportionality factor describing the turbulent transfer of energy as a result of moving eddies, giving rise to tangential stresses.
Transition Thermal Conductivity - (Measured in Watt per Meter per K) - Transition thermal conductivity is the thermal conductivity of the fluid during transition of laminar to turbulent flow.
Transient Prandtl Number - Transient Prandtl Number is the prattle number of the flow in when the laminar flow changes transition flow.
Molar Specific Heat Capacity at Constant Pressure - (Measured in Joule Per Kelvin Per Mole) - Molar Specific Heat Capacity at Constant Pressure, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure.

STEP 1: Convert Input(s) to Base Unit

Transition Thermal Conductivity: 112 Watt per Meter per K --> 112 Watt per Meter per K No Conversion Required
Transient Prandtl Number: 2.4 --> No Conversion Required
Molar Specific Heat Capacity at Constant Pressure: 122 Joule Per Kelvin Per Mole --> 122 Joule Per Kelvin Per Mole No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ_T = (k_T*Pr_T)/C_{p molar} --> (112*2.4)/122

Evaluating ... ...

μ_T = 2.20327868852459

STEP 3: Convert Result to Output's Unit

2.20327868852459 Pascal Second -->22.0327868852459 Poise (Check conversion here)

FINAL ANSWER

22.0327868852459 ≈ 22.03279 Poise <-- Eddy Viscosity

(Calculation completed in 00.020 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Flat Plate for Viscous Flow Case » Hypersonic Transition » Eddy Viscosity Calculation

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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PSG College of Technology (PSGCT), Coimbatore

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< 16 Hypersonic Transition Calculators

Boundary-Layer Momentum Thickness using Reynolds Number at Transition Point

Go Boundary-layer momentum thickness for transition = (Reynolds Number*Static Viscosity)/(Static Velocity*Static Density)

Static Density Equation using Boundary-Layer Momentum Thickness

Go Static Density = (Reynolds Number*Static Viscosity)/(Static Velocity*Boundary-layer momentum thickness for transition)

Static Velocity using Boundary-Layer Momentum Thickness

Go Static Velocity = (Reynolds Number*Static Viscosity)/(Static Density*Boundary-layer momentum thickness for transition)

Static Viscosity Equation using Boundary-Layer Momentum Thickness

Go Static Viscosity = (Static Density*Static Velocity*Boundary-layer momentum thickness for transition)/Reynolds Number

Reynolds Number Equation using Boundary-Layer Momentum Thickness

Go Reynolds Number = (Static Density*Static Velocity*Boundary-layer momentum thickness for transition)/Static Viscosity

Static Velocity at Transition Point

Go Static Velocity = (Transition Reynolds Number*Static Viscosity)/(Static Density*Location Transition Point)

Static Density at Transition Point

Go Static Density = (Transition Reynolds Number*Static Viscosity)/(Static Velocity*Location Transition Point)

Location of Transition Point

Go Location Transition Point = (Transition Reynolds Number*Static Viscosity)/(Static Velocity*Static Density)

Static Viscosity at Transition Point

Go Static Viscosity = (Static Density*Static Velocity*Location Transition Point)/Transition Reynolds Number

Transition Reynolds Number

Go Transition Reynolds Number = (Static Density*Static Velocity*Location Transition Point)/Static Viscosity

Specific Heat at Constant Pressure for Transient Flow

Go Molar Specific Heat Capacity at Constant Pressure = (Transient Prandtl Number*Transition Thermal Conductivity)/Eddy Viscosity

Prandtl Number of Transition Flow

Go Transient Prandtl Number = (Eddy Viscosity*Molar Specific Heat Capacity at Constant Pressure)/Transition Thermal Conductivity

Eddy Viscosity Calculation

Go Eddy Viscosity = (Transition Thermal Conductivity*Transient Prandtl Number)/Molar Specific Heat Capacity at Constant Pressure

Thermal Conductivity of Transition Flow

Go Transition Thermal Conductivity = (Eddy Viscosity*Specific Heat Capacity)/Transient Prandtl Number

Local Mach Number using Reynolds Number Equation at Transition Region

Go Local Mach Number = Boundary-layer Momentum Reynolds number/100

Reynolds Number Equation using Local Mach Number

Go Boundary-layer Momentum Reynolds number = 100*Local Mach Number

Eddy Viscosity Calculation Formula

Eddy Viscosity = (Transition Thermal Conductivity*Transient Prandtl Number)/Molar Specific Heat Capacity at Constant Pressure
μ_T = (k_T*Pr_T)/C_{p molar}

What is Prandtl number?

The Prandtl Number is a dimensionless number approximating the ratio of momentum diffusivity to thermal diffusivity. The Prandtl Number is often used in heat transfer and free and forced convection calculations. It depends on the fluid properties.

How to Calculate Eddy Viscosity Calculation?

Eddy Viscosity Calculation calculator uses Eddy Viscosity = (Transition Thermal Conductivity*Transient Prandtl Number)/Molar Specific Heat Capacity at Constant Pressure to calculate the Eddy Viscosity, The Eddy viscosity calculation formula is defined as the interrelation between transient thermal conductivity, specific heat capacity at constant pressure, and Prandtl number at transition case. Eddy Viscosity is denoted by μ_T symbol.

How to calculate Eddy Viscosity Calculation using this online calculator? To use this online calculator for Eddy Viscosity Calculation, enter Transition Thermal Conductivity (k_T), Transient Prandtl Number (Pr_T) & Molar Specific Heat Capacity at Constant Pressure (C_{p molar}) and hit the calculate button. Here is how the Eddy Viscosity Calculation calculation can be explained with given input values -> 220.3279 = (112*2.4)/122.

FAQ

What is Eddy Viscosity Calculation?

The Eddy viscosity calculation formula is defined as the interrelation between transient thermal conductivity, specific heat capacity at constant pressure, and Prandtl number at transition case and is represented as μ_T = (k_T*Pr_T)/C_{p molar} or Eddy Viscosity = (Transition Thermal Conductivity*Transient Prandtl Number)/Molar Specific Heat Capacity at Constant Pressure. Transition thermal conductivity is the thermal conductivity of the fluid during transition of laminar to turbulent flow, Transient Prandtl Number is the prattle number of the flow in when the laminar flow changes transition flow & Molar Specific Heat Capacity at Constant Pressure, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure.

How to calculate Eddy Viscosity Calculation?

The Eddy viscosity calculation formula is defined as the interrelation between transient thermal conductivity, specific heat capacity at constant pressure, and Prandtl number at transition case is calculated using Eddy Viscosity = (Transition Thermal Conductivity*Transient Prandtl Number)/Molar Specific Heat Capacity at Constant Pressure. To calculate Eddy Viscosity Calculation, you need Transition Thermal Conductivity (k_T), Transient Prandtl Number (Pr_T) & Molar Specific Heat Capacity at Constant Pressure (C_{p molar}). With our tool, you need to enter the respective value for Transition Thermal Conductivity, Transient Prandtl Number & Molar Specific Heat Capacity at Constant Pressure 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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