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Prandtl Number of Transition Flow Formula

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The Transient Prandtl Number is a dimensionless quantity that characterizes the relationship between thermal and momentum diffusivity in transient heat transfer during hypersonic flow. Check FAQs

Pr T = \frac{μ T \cdot C p molar}{k T}

Pr_T - Transient Prandtl Number?μ_T - Eddy Viscosity?C_{p molar} - Molar Specific Heat Capacity at Constant Pressure?k_T - Transition Thermal Conductivity?

Prandtl Number of Transition Flow Example

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Here is how the Prandtl Number of Transition Flow equation looks like with Values.

Here is how the Prandtl Number of Transition Flow equation looks like with Units.

Here is how the Prandtl Number of Transition Flow equation looks like.

2.4 = \frac{22.0328 \cdot 122}{112}

2.4 = \frac{22.0328P \cdot 122J/K*mol}{112W/(m*K)}

2.4 = \frac{22.0328 \cdot 122}{112}

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Prandtl Number of Transition Flow Solution

Follow our step by step solution on how to calculate Prandtl Number of Transition Flow?

FIRST Step Consider the formula

Pr T = \frac{μ T \cdot C p molar}{k T}

Next Step Substitute values of Variables

∴

Pr T = \frac{22.0328P \cdot 122J/K*mol}{112W/(m*K)}

Next Step Convert Units

∴

Pr T = \frac{2.2033Pa*s \cdot 122J/K*mol}{112W/(m*K)}

Next Step Prepare to Evaluate

∴

Pr T = \frac{2.2033 \cdot 122}{112}

Next Step Evaluate

∴

Pr T = 2.40000033928571

LAST Step Rounding Answer

∴

Pr T = 2.4

Prandtl Number of Transition Flow Formula Elements

Variables

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.

Symbol: Pr_T

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Transient Prandtl Number

Eddy Viscosity

The Eddy Viscosity is a measure of the turbulent momentum transfer in a fluid, influencing the flow characteristics around surfaces in hypersonic conditions.

Symbol: μ_T

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Eddy Viscosity

Molar Specific Heat Capacity at Constant Pressure

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.

Symbol: C_{p molar}

Measurement: Molar Specific Heat Capacity at Constant PressureUnit: J/K*mol

Note: Value should be greater than 0.

Formulas to find Molar Specific Heat Capacity at Constant Pressure

Transition Thermal Conductivity

The Transition Thermal Conductivity is the measure of heat transfer through a material during the transition phase in hypersonic flow over a flat plate.

Symbol: k_T

Measurement: Thermal ConductivityUnit: W/(m*K)

Note: Value should be greater than 0.

Formulas to find Transition Thermal Conductivity

Other formulas in Hypersonic Transition category

Go Transition Reynolds Number

Ret = \frac{ρ e \cdot u e \cdot xt}{μe}

Go Static Density at Transition Point

ρ e = \frac{Ret \cdot μe}{u e \cdot xt}

Go Static Velocity at Transition Point

u e = \frac{Ret \cdot μe}{ρ e \cdot xt}

Go Location of Transition Point

xt = \frac{Ret \cdot μe}{u e \cdot ρ e}

How to Evaluate Prandtl Number of Transition Flow?

Prandtl Number of Transition Flow evaluator uses Transient Prandtl Number = (Eddy Viscosity*Molar Specific Heat Capacity at Constant Pressure)/Transition Thermal Conductivity to evaluate 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 evaluate Prandtl Number of Transition Flow using this online evaluator? To use this online evaluator 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.

FAQs on Prandtl Number of Transition Flow

What is the formula to find Prandtl Number of Transition Flow?

The formula of Prandtl Number of Transition Flow is expressed as Transient Prandtl Number = (Eddy Viscosity*Molar Specific Heat Capacity at Constant Pressure)/Transition Thermal Conductivity. Here is an example- 2.178571 = (2.203279*122)/112.

How to calculate Prandtl Number of Transition Flow?

With Eddy Viscosity (μ_T), Molar Specific Heat Capacity at Constant Pressure (C_{p molar}) & Transition Thermal Conductivity (k_T) we can find Prandtl Number of Transition Flow using the formula - Transient Prandtl Number = (Eddy Viscosity*Molar Specific Heat Capacity at Constant Pressure)/Transition Thermal Conductivity.

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Prandtl Number of Transition Flow Formula

Prandtl Number of Transition Flow Example

Prandtl Number of Transition Flow Solution

Prandtl Number of Transition Flow Formula Elements

Other formulas in Hypersonic Transition category

How to Evaluate Prandtl Number of Transition Flow?

FAQs on Prandtl Number of Transition Flow

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