Prandtl Number of Transition Flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
Transient Prandtl Number = (Eddy Viscosity*Molar Specific Heat Capacity at Constant Pressure)/Transition Thermal Conductivity
PrT = (μT*Cp molar)/kT
This formula uses 4 Variables
Variables Used
Transient Prandtl Number - Transient Prandtl Number is the prattle number of the flow in when the laminar flow changes transition 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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Eddy Viscosity: 20 Poise --> 2 Pascal Second (Check conversion here)
Molar Specific Heat Capacity at Constant Pressure: 122 Joule Per Kelvin Per Mole --> 122 Joule Per Kelvin Per Mole No Conversion Required
Transition Thermal Conductivity: 112 Watt per Meter per K --> 112 Watt per Meter per K No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PrT = (μT*Cp molar)/kT --> (2*122)/112
Evaluating ... ...
PrT = 2.17857142857143
STEP 3: Convert Result to Output's Unit
2.17857142857143 --> No Conversion Required
FINAL ANSWER
2.17857142857143 2.178571 <-- Transient Prandtl Number
(Calculation completed in 00.004 seconds)

Credits

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

Prandtl Number of Transition Flow Formula

Transient Prandtl Number = (Eddy Viscosity*Molar Specific Heat Capacity at Constant Pressure)/Transition Thermal Conductivity
PrT = (μT*Cp molar)/kT

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 Prandtl Number of Transition Flow?

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

How to calculate Prandtl Number of Transition Flow using this online calculator? To use this online calculator for Prandtl Number of Transition Flow, enter Eddy Viscosity T), Molar Specific Heat Capacity at Constant Pressure (Cp molar) & Transition Thermal Conductivity (kT) and hit the calculate button. Here is how the Prandtl Number of Transition Flow calculation can be explained with given input values -> 2.178571 = (2*122)/112.

FAQ

What is Prandtl Number of Transition Flow?
The Prandtl number of transition flow formula is defined as the interrelation between eddy viscosity, specific heat capacity at constant pressure, and Transient thermal conductivity and is represented as PrT = (μT*Cp molar)/kT or Transient Prandtl Number = (Eddy Viscosity*Molar Specific Heat Capacity at Constant Pressure)/Transition Thermal Conductivity. Eddy viscosity is the proportionality factor describing the turbulent transfer of energy as a result of moving eddies, giving rise to tangential stresses, 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 & Transition thermal conductivity is the thermal conductivity of the fluid during transition of laminar to turbulent flow.
How to calculate Prandtl Number of Transition Flow?
The Prandtl number of transition flow formula is defined as the interrelation between eddy viscosity, specific heat capacity at constant pressure, and Transient thermal conductivity is calculated using Transient Prandtl Number = (Eddy Viscosity*Molar Specific Heat Capacity at Constant Pressure)/Transition Thermal Conductivity. To calculate Prandtl Number of Transition Flow, you need Eddy Viscosity T), Molar Specific Heat Capacity at Constant Pressure (Cp molar) & Transition Thermal Conductivity (kT). With our tool, you need to enter the respective value for Eddy Viscosity, Molar Specific Heat Capacity at Constant Pressure & Transition Thermal Conductivity 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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