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Thermal Conductivity using Prandtl Number Formula

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The Thermal Conductivity is a measure of a material's ability to conduct heat, influencing heat transfer in various applications, particularly in fluid mechanics and thermal management. 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.

6096.6857 = \frac{10.2 \cdot 4.184}{0.7}

6096.6857W/(m*K) = \frac{10.2P \cdot 4.184kJ/kg*K}{0.7}

6096.6857 = \frac{10.2 \cdot 4.184}{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 4.184kJ/kg*K}{0.7}

Next Step Convert Units

∴

k = \frac{1.02Pa*s \cdot 4184J/(kg*K)}{0.7}

Next Step Prepare to Evaluate

∴

k = \frac{1.02 \cdot 4184}{0.7}

Next Step Evaluate

∴

k = 6096.68571428572W/(m*K)

LAST Step Rounding Answer

∴

k = 6096.6857W/(m*K)

Thermal Conductivity using Prandtl Number Formula Elements

Variables

Thermal Conductivity

The Thermal Conductivity is a measure of a material's ability to conduct heat, influencing heat transfer in various applications, particularly in fluid mechanics and thermal management.

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 is a measure of a fluid's resistance to flow and deformation, crucial for understanding fluid behavior in various mechanical and thermal applications.

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

The Specific Heat Capacity at Constant Pressure is the amount of heat required to raise the temperature of a unit mass of a substance 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 is a dimensionless quantity that relates the rate of momentum diffusion to thermal diffusion in fluid flow, influencing heat transfer characteristics.

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 p \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

Tw = 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, Thermal Conductivity using Prandtl Number formula is defined as a measure of the ability of a fluid to conduct heat, which is a critical parameter in understanding heat transfer mechanisms in various engineering applications, particularly in viscous flow systems. 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- 6096.686 = (1.02*4184)/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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