Prandtl Number of Transition Flow Calculator

✖The Eddy Viscosity is a measure of the turbulent momentum transfer in a fluid, influencing the flow characteristics around surfaces in hypersonic conditions.ⓘ Eddy Viscosity [μ_T]			+10% -10%
✖The Molar Specific Heat Capacity at Constant Pressure is the amount of heat required to raise the temperature of one mole of a substance at constant pressure.ⓘ Molar Specific Heat Capacity at Constant Pressure [C_{p molar}]			+10% -10%
✖The Transition Thermal Conductivity is the measure of heat transfer through a material during the transition phase in hypersonic flow over a flat plate.ⓘ Transition Thermal Conductivity [k_T]			+10% -10%

✖The Transient Prandtl Number is a dimensionless quantity that characterizes the relationship between thermal and momentum diffusivity in transient heat transfer during hypersonic flow.ⓘ Prandtl Number of Transition Flow [Pr_T]

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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
Pr_T = (μ_T*C_{p molar})/k_T
This formula uses 4 Variables

Variables Used

Transient Prandtl Number - The Transient Prandtl Number is a dimensionless quantity that characterizes the relationship between thermal and momentum diffusivity in transient heat transfer during hypersonic flow.
Eddy Viscosity - (Measured in Pascal Second) - The Eddy Viscosity is a measure of the turbulent momentum transfer in a fluid, influencing the flow characteristics around surfaces in hypersonic conditions.
Molar Specific Heat Capacity at Constant Pressure - (Measured in Joule Per Kelvin Per Mole) - The Molar Specific Heat Capacity at Constant Pressure is the amount of heat required to raise the temperature of one mole of a substance at constant pressure.
Transition Thermal Conductivity - (Measured in Watt per Meter per K) - The Transition Thermal Conductivity is the measure of heat transfer through a material during the transition phase in hypersonic flow over a flat plate.

STEP 1: Convert Input(s) to Base Unit

Eddy Viscosity: 22.03279 Poise --> 2.203279 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

Pr_T = (μ_T*C_{p molar})/k_T --> (2.203279*122)/112

Evaluating ... ...

Pr_T = 2.40000033928571

STEP 3: Convert Result to Output's Unit

2.40000033928571 --> No Conversion Required

FINAL ANSWER

2.40000033928571 ≈ 2.4 <-- Transient Prandtl Number

(Calculation completed in 00.004 seconds)

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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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< Hypersonic Transition Calculators

Static Velocity at Transition Point

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

Static Density at Transition Point

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

Location of Transition Point

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

Transition Reynolds Number

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

Prandtl Number of Transition Flow Formula

LaTeX Go

Transient Prandtl Number = (Eddy Viscosity*Molar Specific Heat Capacity at Constant Pressure)/Transition Thermal Conductivity
Pr_T = (μ_T*C_{p molar})/k_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 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, Prandtl Number of Transition Flow formula is defined as a dimensionless quantity that characterizes the ratio of momentum diffusivity to thermal diffusivity in a fluid, providing a measure of the relative thickness of the thermal and velocity boundary layers in a transitional flow regime. Transient Prandtl Number is denoted by Pr_T 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 (μ_T), Molar Specific Heat Capacity at Constant Pressure (C_{p molar}) & Transition Thermal Conductivity (k_T) and hit the calculate button. Here is how the Prandtl Number of Transition Flow calculation can be explained with given input values -> 2.178571 = (2.203279*122)/112.

FAQ

What is Prandtl Number of Transition Flow?

Prandtl Number of Transition Flow formula is defined as a dimensionless quantity that characterizes the ratio of momentum diffusivity to thermal diffusivity in a fluid, providing a measure of the relative thickness of the thermal and velocity boundary layers in a transitional flow regime and is represented as Pr_T = (μ_T*C_{p molar})/k_T or Transient Prandtl Number = (Eddy Viscosity*Molar Specific Heat Capacity at Constant Pressure)/Transition Thermal Conductivity. The Eddy Viscosity is a measure of the turbulent momentum transfer in a fluid, influencing the flow characteristics around surfaces in hypersonic conditions, The Molar Specific Heat Capacity at Constant Pressure is the amount of heat required to raise the temperature of one mole of a substance at constant pressure & The Transition Thermal Conductivity is the measure of heat transfer through a material during the transition phase in hypersonic flow over a flat plate.

How to calculate Prandtl Number of Transition Flow?

Prandtl Number of Transition Flow formula is defined as a dimensionless quantity that characterizes the ratio of momentum diffusivity to thermal diffusivity in a fluid, providing a measure of the relative thickness of the thermal and velocity boundary layers in a transitional flow regime 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 (μ_T), Molar Specific Heat Capacity at Constant Pressure (C_{p molar}) & Transition Thermal Conductivity (k_T). 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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