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Fourier's Law of Heat Conduction Formula

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Heat Flux is the heat transfer rate per unit area normal to the direction of heat flow. It is denoted by the letter "q". Check FAQs

q' = k \cdot ΔT

q' - Heat Flux?k - Thermal Conductivity?ΔT - Temperature Gradient?

Fourier's Law of Heat Conduction Example

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Here is how the Fourier's Law of Heat Conduction equation looks like with Values.

Here is how the Fourier's Law of Heat Conduction equation looks like with Units.

Here is how the Fourier's Law of Heat Conduction equation looks like.

407.2 = 10.18 \cdot 40

407.2W/m² = 10.18W/(m*K) \cdot 40K/m

407.2 = 10.18 \cdot 40

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Fourier's Law of Heat Conduction Solution

Follow our step by step solution on how to calculate Fourier's Law of Heat Conduction?

FIRST Step Consider the formula

q' = k \cdot ΔT

Next Step Substitute values of Variables

∴

q' = 10.18W/(m*K) \cdot 40K/m

Next Step Prepare to Evaluate

∴

q' = 10.18 \cdot 40

LAST Step Evaluate

∴

q' = 407.2W/m²

Fourier's Law of Heat Conduction Formula Elements

Variables

Heat Flux

Heat Flux is the heat transfer rate per unit area normal to the direction of heat flow. It is denoted by the letter "q".

Symbol: q'

Measurement: Heat Flux DensityUnit: W/m²

Note: Value can be positive or negative.

Formulas to find Heat Flux

Thermal Conductivity

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.

Symbol: k

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

Note: Value should be greater than 0.

Formulas to find Thermal Conductivity

Temperature Gradient

A Temperature Gradient is a physical quantity that describes in which direction and at what rate the temperature changes the most rapidly around a particular location.

Symbol: ΔT

Measurement: Temperature GradientUnit: K/m

Note: Value can be positive or negative.

Formulas to find Temperature Gradient

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How to Evaluate Fourier's Law of Heat Conduction?

Fourier's Law of Heat Conduction evaluator uses Heat Flux = Thermal Conductivity*Temperature Gradient to evaluate the Heat Flux, Fourier's Law of Heat Conduction formula is defined as a measure of the heat conduction rate in a given medium, describing the flow of heat energy from an area of higher temperature to an area of lower temperature, and is widely used in various fields such as physics, engineering, and materials science. Heat Flux is denoted by q' symbol.

How to evaluate Fourier's Law of Heat Conduction using this online evaluator? To use this online evaluator for Fourier's Law of Heat Conduction, enter Thermal Conductivity (k) & Temperature Gradient (ΔT) and hit the calculate button.

FAQs on Fourier's Law of Heat Conduction

What is the formula to find Fourier's Law of Heat Conduction?

The formula of Fourier's Law of Heat Conduction is expressed as Heat Flux = Thermal Conductivity*Temperature Gradient. Here is an example- 407.2 = 10.18*40.

How to calculate Fourier's Law of Heat Conduction?

With Thermal Conductivity (k) & Temperature Gradient (ΔT) we can find Fourier's Law of Heat Conduction using the formula - Heat Flux = Thermal Conductivity*Temperature Gradient.

Can the Fourier's Law of Heat Conduction be negative?

Yes, the Fourier's Law of Heat Conduction, measured in Heat Flux Density can be negative.

Which unit is used to measure Fourier's Law of Heat Conduction?

Fourier's Law of Heat Conduction is usually measured using the Watt per Square Meter[W/m²] for Heat Flux Density. Kilowatt per Square Meter[W/m²], Watt per Square Centimeter[W/m²], Watt per Square Inch[W/m²] are the few other units in which Fourier's Law of Heat Conduction can be measured.

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