Heat Transfer According to Fourier's Law Calculator

✖The Thermal Conductivity of Fin is a measure of a fin's ability to conduct heat, enhancing heat transfer efficiency in thermal systems.ⓘ Thermal Conductivity of Fin [k_o]			+10% -10%
✖The Surface Area of Heat Flow is the total area through which heat is transferred, influencing the efficiency of conduction, convection, and radiation processes in thermal systems.ⓘ Surface Area of Heat Flow [A_s]			+10% -10%
✖The Temperature Difference is the variation in temperature between two points, which influences heat transfer processes in conduction, convection, and radiation.ⓘ Temperature Difference [ΔT]			+10% -10%
✖The Thickness of The Body is the measurement of how thick a material is, which influences its thermal conductivity and heat transfer properties in various applications.ⓘ Thickness of The Body [L]			+10% -10%

✖The Heat Flow Through a Body is the transfer of thermal energy within or between materials due to temperature differences, encompassing conduction, convection, and radiation processes.ⓘ Heat Transfer According to Fourier's Law [Q_c]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Conduction, Convection and Radiation Formulas PDF PDF Image

Heat Transfer According to Fourier's Law Solution

STEP 0: Pre-Calculation Summary

Formula Used

Heat Flow Through a Body = -(Thermal Conductivity of Fin*Surface Area of Heat Flow*Temperature Difference/Thickness of The Body)
Q_c = -(k_o*A_s*ΔT/L)
This formula uses 5 Variables

Variables Used

Heat Flow Through a Body - (Measured in Watt) - The Heat Flow Through a Body is the transfer of thermal energy within or between materials due to temperature differences, encompassing conduction, convection, and radiation processes.
Thermal Conductivity of Fin - (Measured in Watt per Meter per K) - The Thermal Conductivity of Fin is a measure of a fin's ability to conduct heat, enhancing heat transfer efficiency in thermal systems.
Surface Area of Heat Flow - (Measured in Square Meter) - The Surface Area of Heat Flow is the total area through which heat is transferred, influencing the efficiency of conduction, convection, and radiation processes in thermal systems.
Temperature Difference - (Measured in Kelvin) - The Temperature Difference is the variation in temperature between two points, which influences heat transfer processes in conduction, convection, and radiation.
Thickness of The Body - (Measured in Meter) - The Thickness of The Body is the measurement of how thick a material is, which influences its thermal conductivity and heat transfer properties in various applications.

STEP 1: Convert Input(s) to Base Unit

Thermal Conductivity of Fin: 10.18 Watt per Meter per K --> 10.18 Watt per Meter per K No Conversion Required
Surface Area of Heat Flow: 0.1314747 Square Meter --> 0.1314747 Square Meter No Conversion Required
Temperature Difference: -105 Kelvin --> -105 Kelvin No Conversion Required
Thickness of The Body: 2.92166 Meter --> 2.92166 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_c = -(k_o*A_s*ΔT/L) --> -(10.18*0.1314747*(-105)/2.92166)

Evaluating ... ...

Q_c = 48.1005

STEP 3: Convert Result to Output's Unit

48.1005 Watt --> No Conversion Required

FINAL ANSWER

48.1005 Watt <-- Heat Flow Through a Body

(Calculation completed in 00.008 seconds)

You are here -

Home » Engineering » Mechanical » Thermodynamics » Heat Transfer » Conduction, Convection and Radiation » Heat Transfer According to Fourier's Law

Credits

Created by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has created this Calculator and 600+ more calculators!

Verified by Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

Himanshi Sharma has verified this Calculator and 800+ more calculators!

< Conduction, Convection and Radiation Calculators

Heat Exchange by Radiation due to Geometric Arrangement

LaTeX Go Heat Flux = Emissivity*Cross Sectional Area*[Stefan-BoltZ]*Shape Factor*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))

Heat Transfer According to Fourier's Law

LaTeX Go Heat Flow Through a Body = -(Thermal Conductivity of Fin*Surface Area of Heat Flow*Temperature Difference/Thickness of The Body)

Convective Processes Heat Transfer Coefficient

LaTeX Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Recovery Temperature)

Thermal Resistance in Convection Heat Transfer

LaTeX Go Thermal Resistance = 1/(Exposed Surface Area*Coefficient of Convective Heat Transfer)

< Fundamental of Heat Transfer Calculators

Heat Transfer According to Fourier's Law

LaTeX Go Heat Flow Through a Body = -(Thermal Conductivity of Fin*Surface Area of Heat Flow*Temperature Difference/Thickness of The Body)

Newton's Law of Cooling

LaTeX Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid)

Heat Flux

LaTeX Go Heat Flux = Thermal Conductivity of Fin*Temperature of Conductor/Length of Conductor

Heat Transfer

LaTeX Go Heat Flow Through a Body = Thermal Potential Difference/Thermal Resistance

Heat Transfer According to Fourier's Law Formula

LaTeX Go

Heat Flow Through a Body = -(Thermal Conductivity of Fin*Surface Area of Heat Flow*Temperature Difference/Thickness of The Body)
Q_c = -(k_o*A_s*ΔT/L)

State Fourier's law.

Fourier’s law states that the negative gradient of temperature and the time rate of heat transfer is proportional to the area at right angles of that gradient through which the heat flows. Fourier’s law is the other name of the law of heat conduction.

How to Calculate Heat Transfer According to Fourier's Law?

Heat Transfer According to Fourier's Law calculator uses Heat Flow Through a Body = -(Thermal Conductivity of Fin*Surface Area of Heat Flow*Temperature Difference/Thickness of The Body) to calculate the Heat Flow Through a Body, Heat Transfer According to Fourier's Law formula is defined as the principle that describes the rate of heat transfer through a material, proportional to the temperature gradient and the material's thermal conductivity, emphasizing the direction of heat flow. Heat Flow Through a Body is denoted by Q_c symbol.

How to calculate Heat Transfer According to Fourier's Law using this online calculator? To use this online calculator for Heat Transfer According to Fourier's Law, enter Thermal Conductivity of Fin (k_o), Surface Area of Heat Flow (A_s), Temperature Difference (ΔT) & Thickness of The Body (L) and hit the calculate button. Here is how the Heat Transfer According to Fourier's Law calculation can be explained with given input values -> 48.10976 = -(10.18*0.1314747*(-105)/2.92166).

FAQ

What is Heat Transfer According to Fourier's Law?

Heat Transfer According to Fourier's Law formula is defined as the principle that describes the rate of heat transfer through a material, proportional to the temperature gradient and the material's thermal conductivity, emphasizing the direction of heat flow and is represented as Q_c = -(k_o*A_s*ΔT/L) or Heat Flow Through a Body = -(Thermal Conductivity of Fin*Surface Area of Heat Flow*Temperature Difference/Thickness of The Body). The Thermal Conductivity of Fin is a measure of a fin's ability to conduct heat, enhancing heat transfer efficiency in thermal systems, The Surface Area of Heat Flow is the total area through which heat is transferred, influencing the efficiency of conduction, convection, and radiation processes in thermal systems, The Temperature Difference is the variation in temperature between two points, which influences heat transfer processes in conduction, convection, and radiation & The Thickness of The Body is the measurement of how thick a material is, which influences its thermal conductivity and heat transfer properties in various applications.

How to calculate Heat Transfer According to Fourier's Law?

Heat Transfer According to Fourier's Law formula is defined as the principle that describes the rate of heat transfer through a material, proportional to the temperature gradient and the material's thermal conductivity, emphasizing the direction of heat flow is calculated using Heat Flow Through a Body = -(Thermal Conductivity of Fin*Surface Area of Heat Flow*Temperature Difference/Thickness of The Body). To calculate Heat Transfer According to Fourier's Law, you need Thermal Conductivity of Fin (k_o), Surface Area of Heat Flow (A_s), Temperature Difference (ΔT) & Thickness of The Body (L). With our tool, you need to enter the respective value for Thermal Conductivity of Fin, Surface Area of Heat Flow, Temperature Difference & Thickness of The Body and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Heat Flow Through a Body?

In this formula, Heat Flow Through a Body uses Thermal Conductivity of Fin, Surface Area of Heat Flow, Temperature Difference & Thickness of The Body. We can use 2 other way(s) to calculate the same, which is/are as follows -

Heat Flow Through a Body = Thermal Potential Difference/Thermal Resistance
Heat Flow Through a Body = Thermal Potential Difference/Thermal Resistance

Home

FREE PDFs

🔍 Search