✖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 [μ_T]			+10% -10%
✖Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.ⓘ Specific Heat Capacity [c]			+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%

✖Transition thermal conductivity is the thermal conductivity of the fluid during transition of laminar to turbulent flow.ⓘ Thermal Conductivity of Transition Flow [k_T]

⎘ Copy

👎

Formula

✖

Thermal Conductivity of Transition Flow

Formula

`"k"_{"T"} = ("μ"_{"T"}*"c")/"Pr"_{"T"}`

Example

`"3900W/(m*K)"=("20P"*"4.68kJ/kg*K")/"2.4"`

Calculator

LaTeX

Reset

👍

Download Hypersonic Flow Formula PDF PDF Image

Thermal Conductivity of Transition Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transition Thermal Conductivity = (Eddy Viscosity*Specific Heat Capacity)/Transient Prandtl Number
k_T = (μ_T*c)/Pr_T
This formula uses 4 Variables

Variables Used

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.
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.
Specific Heat Capacity - (Measured in Joule per Kilogram per K) - Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.
Transient Prandtl Number - Transient Prandtl Number is the prattle number of the flow in when the laminar flow changes transition flow.

STEP 1: Convert Input(s) to Base Unit

Eddy Viscosity: 20 Poise --> 2 Pascal Second (Check conversion here)
Specific Heat Capacity: 4.68 Kilojoule per Kilogram per K --> 4680 Joule per Kilogram per K (Check conversion here)
Transient Prandtl Number: 2.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_T = (μ_T*c)/Pr_T --> (2*4680)/2.4

Evaluating ... ...

k_T = 3900

STEP 3: Convert Result to Output's Unit

3900 Watt per Meter per K --> No Conversion Required

FINAL ANSWER

3900 Watt per Meter per K <-- Transition Thermal Conductivity

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Flat Plate for Viscous Flow Case » Hypersonic Transition » Thermal Conductivity of Transition Flow

Credits

Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has created this Calculator and 300+ more calculators!

Verified by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has verified this Calculator and 100+ more calculators!

< 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

Thermal Conductivity of Transition Flow Formula

Transition Thermal Conductivity = (Eddy Viscosity*Specific Heat Capacity)/Transient Prandtl Number
k_T = (μ_T*c)/Pr_T

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 Thermal Conductivity of Transition Flow?

Thermal Conductivity of Transition Flow calculator uses Transition Thermal Conductivity = (Eddy Viscosity*Specific Heat Capacity)/Transient Prandtl Number to calculate the Transition Thermal Conductivity, The Thermal conductivity of transition flow formula is defined as the interrelation between eddy viscosity, specific heat capacity at constant pressure, and Prandtl number at the transition case. Transition Thermal Conductivity is denoted by k_T symbol.

How to calculate Thermal Conductivity of Transition Flow using this online calculator? To use this online calculator for Thermal Conductivity of Transition Flow, enter Eddy Viscosity (μ_T), Specific Heat Capacity (c) & Transient Prandtl Number (Pr_T) and hit the calculate button. Here is how the Thermal Conductivity of Transition Flow calculation can be explained with given input values -> 3900 = (2*4680)/2.4.

FAQ

What is Thermal Conductivity of Transition Flow?

The Thermal conductivity of transition flow formula is defined as the interrelation between eddy viscosity, specific heat capacity at constant pressure, and Prandtl number at the transition case and is represented as k_T = (μ_T*c)/Pr_T or Transition Thermal Conductivity = (Eddy Viscosity*Specific Heat Capacity)/Transient Prandtl Number. Eddy viscosity is the proportionality factor describing the turbulent transfer of energy as a result of moving eddies, giving rise to tangential stresses, Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount & Transient Prandtl Number is the prattle number of the flow in when the laminar flow changes transition flow.

How to calculate Thermal Conductivity of Transition Flow?

The Thermal conductivity of transition flow formula is defined as the interrelation between eddy viscosity, specific heat capacity at constant pressure, and Prandtl number at the transition case is calculated using Transition Thermal Conductivity = (Eddy Viscosity*Specific Heat Capacity)/Transient Prandtl Number. To calculate Thermal Conductivity of Transition Flow, you need Eddy Viscosity (μ_T), Specific Heat Capacity (c) & Transient Prandtl Number (Pr_T). With our tool, you need to enter the respective value for Eddy Viscosity, Specific Heat Capacity & Transient Prandtl Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search