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Thermal Conductivity using Prandtl Number Formula

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Thermal Conductivity is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance. Check FAQs

k = \frac{μ viscosity \cdot C p}{Pr}

k - Thermal Conductivity?μ_viscosity - Dynamic Viscosity?C_p - Specific Heat Capacity at Constant Pressure?Pr - Prandtl Number?

Thermal Conductivity using Prandtl Number Example

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Here is how the Thermal Conductivity using Prandtl Number equation looks like with Values.

Here is how the Thermal Conductivity using Prandtl Number equation looks like with Units.

Here is how the Thermal Conductivity using Prandtl Number equation looks like.

1464.4286 = \frac{10.2 \cdot 1.005}{0.7}

1464.4286W/(m*K) = \frac{10.2P \cdot 1.005kJ/kg*K}{0.7}

1464.4286 = \frac{10.2 \cdot 1.005}{0.7}

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Thermal Conductivity using Prandtl Number Solution

Follow our step by step solution on how to calculate Thermal Conductivity using Prandtl Number?

FIRST Step Consider the formula

k = \frac{μ viscosity \cdot C p}{Pr}

Next Step Substitute values of Variables

∴

k = \frac{10.2P \cdot 1.005kJ/kg*K}{0.7}

Next Step Convert Units

∴

k = \frac{1.02Pa*s \cdot 1005J/(kg*K)}{0.7}

Next Step Prepare to Evaluate

∴

k = \frac{1.02 \cdot 1005}{0.7}

Next Step Evaluate

∴

k = 1464.42857142857W/(m*K)

LAST Step Rounding Answer

∴

k = 1464.4286W/(m*K)

Thermal Conductivity using Prandtl Number Formula Elements

Variables

Thermal Conductivity

Symbol: k

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

Note: Value should be greater than 0.

Formulas to find Thermal Conductivity

Dynamic Viscosity

The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.

Symbol: μ_viscosity

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Specific Heat Capacity at Constant Pressure

Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure.

Symbol: C_p

Measurement: Specific Heat CapacityUnit: kJ/kg*K

Note: Value can be positive or negative.

Formulas to find Specific Heat Capacity at Constant Pressure

Prandtl Number

The Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.

Symbol: Pr

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Prandtl Number

Other formulas in Aero Thermal Dynamics category

Go Non Dimensional Internal Energy Parameter

e' = \frac{U}{c \cdot T}

Go Non Dimensional Internal Energy Parameter using Wall-to-Freestream Temperature Ratio

e' = \frac{Tw}{T ∞}

Go Wall Temperature Calculation using Internal Energy Change

T w = e' \cdot T ∞

Go Aerodynamic Heating to Surface

q w = ρ e \cdot u e \cdot St \cdot (h aw - h w)

How to Evaluate Thermal Conductivity using Prandtl Number?

Thermal Conductivity using Prandtl Number evaluator uses Thermal Conductivity = (Dynamic Viscosity*Specific Heat Capacity at Constant Pressure)/Prandtl Number to evaluate the Thermal Conductivity, The Thermal conductivity using Prandtl number formula is defined as the ratio of the product of dynamic viscosity and specific heat for constant pressure to the Prandtl number. Thermal Conductivity is denoted by k symbol.

How to evaluate Thermal Conductivity using Prandtl Number using this online evaluator? To use this online evaluator for Thermal Conductivity using Prandtl Number, enter Dynamic Viscosity (μ_viscosity), Specific Heat Capacity at Constant Pressure (C_p) & Prandtl Number (Pr) and hit the calculate button.

FAQs on Thermal Conductivity using Prandtl Number

What is the formula to find Thermal Conductivity using Prandtl Number?

The formula of Thermal Conductivity using Prandtl Number is expressed as Thermal Conductivity = (Dynamic Viscosity*Specific Heat Capacity at Constant Pressure)/Prandtl Number. Here is an example- 1464.429 = (1.02*1005)/0.7.

How to calculate Thermal Conductivity using Prandtl Number?

With Dynamic Viscosity (μ_viscosity), Specific Heat Capacity at Constant Pressure (C_p) & Prandtl Number (Pr) we can find Thermal Conductivity using Prandtl Number using the formula - Thermal Conductivity = (Dynamic Viscosity*Specific Heat Capacity at Constant Pressure)/Prandtl Number.

Can the Thermal Conductivity using Prandtl Number be negative?

No, the Thermal Conductivity using Prandtl Number, measured in Thermal Conductivity cannot be negative.

Which unit is used to measure Thermal Conductivity using Prandtl Number?

Thermal Conductivity using Prandtl Number is usually measured using the Watt per Meter per K[W/(m*K)] for Thermal Conductivity. Kilowatt per Meter per K[W/(m*K)], Calorie (IT) per Second per Centimeter per °C[W/(m*K)], Kilocalorie (th) per Hour per Meter per °C[W/(m*K)] are the few other units in which Thermal Conductivity using Prandtl Number can be measured.

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Thermal Conductivity using Prandtl Number Formula

Thermal Conductivity using Prandtl Number Example

Thermal Conductivity using Prandtl Number Solution

Thermal Conductivity using Prandtl Number Formula Elements

Other formulas in Aero Thermal Dynamics category

How to Evaluate Thermal Conductivity using Prandtl Number?

FAQs on Thermal Conductivity using Prandtl Number

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