Fourier's Law of Heat Conduction Calculator

✖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.ⓘ Thermal Conductivity [k]			+10% -10%
✖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.ⓘ Temperature Gradient [ΔT]			+10% -10%

✖Heat Flux is the heat transfer rate per unit area normal to the direction of heat flow. It is denoted by the letter "q".ⓘ Fourier's Law of Heat Conduction [q']

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Formula

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Fourier's Law of Heat Conduction

Formula

q' = k \cdot ΔT

Example

407.2 W/m² = 10.18 W/(m*K) \cdot 40 K/m

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Fourier's Law of Heat Conduction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Heat Flux = Thermal Conductivity*Temperature Gradient
q' = k*ΔT
This formula uses 3 Variables

Variables Used

Heat Flux - (Measured in Watt per Square Meter) - Heat Flux is the heat transfer rate per unit area normal to the direction of heat flow. It is denoted by the letter "q".
Thermal Conductivity - (Measured in Watt per Meter per K) - 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.
Temperature Gradient - (Measured in Kelvin Per Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Thermal Conductivity: 10.18 Watt per Meter per K --> 10.18 Watt per Meter per K No Conversion Required
Temperature Gradient: 40 Kelvin Per Meter --> 40 Kelvin Per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q' = k*ΔT --> 10.18*40

Evaluating ... ...

q' = 407.2

STEP 3: Convert Result to Output's Unit

407.2 Watt per Square Meter --> No Conversion Required

FINAL ANSWER

407.2 Watt per Square Meter <-- Heat Flux

(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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K J Somaiya College of Engineering (K J Somaiya), Mumbai

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Fourier's Law of Heat Conduction Formula

Heat Flux = Thermal Conductivity*Temperature Gradient
q' = k*ΔT

What is Fourier's law of thermal conductivity?

The law of heat conduction, also known as Fourier's law, states that the rate of heat transfer through a material is proportional to the negative gradient in the temperature and to the area, at right angles to that gradient, through which the heat flows

How to Calculate Fourier's Law of Heat Conduction?

Fourier's Law of Heat Conduction calculator uses Heat Flux = Thermal Conductivity*Temperature Gradient to calculate the Heat Flux, The Fourier's Law of Heat Conduction formula is defined as the product of thermal conductivity of the gas at the wall to the temperature gradient of gas at the wall. Heat Flux is denoted by q' symbol.

How to calculate Fourier's Law of Heat Conduction using this online calculator? To use this online calculator for Fourier's Law of Heat Conduction, enter Thermal Conductivity (k) & Temperature Gradient (ΔT) and hit the calculate button. Here is how the Fourier's Law of Heat Conduction calculation can be explained with given input values -> 407.2 = 10.18*40.

FAQ

What is Fourier's Law of Heat Conduction?

The Fourier's Law of Heat Conduction formula is defined as the product of thermal conductivity of the gas at the wall to the temperature gradient of gas at the wall and is represented as q' = k*ΔT or Heat Flux = Thermal Conductivity*Temperature Gradient. 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 & 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.

How to calculate Fourier's Law of Heat Conduction?

The Fourier's Law of Heat Conduction formula is defined as the product of thermal conductivity of the gas at the wall to the temperature gradient of gas at the wall is calculated using Heat Flux = Thermal Conductivity*Temperature Gradient. To calculate Fourier's Law of Heat Conduction, you need Thermal Conductivity (k) & Temperature Gradient (ΔT). With our tool, you need to enter the respective value for Thermal Conductivity & Temperature Gradient 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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