Black Bodies Heat Exchange by Radiation Calculator

✖The Emissivity is a measure of a material's ability to emit thermal radiation compared to a perfect black body, influencing heat transfer in thermal systems.ⓘ Emissivity [ε]			+10% -10%
✖The Cross Sectional Area is the area of a cut surface through a solid object, influencing fluid flow and heat transfer in thermodynamic applications.ⓘ Cross Sectional Area [A_cs]			+10% -10%
✖The Temperature of Surface 1 is the measure of heat present on the first surface in a thermal system, influencing heat transfer through conduction, convection, and radiation.ⓘ Temperature of Surface 1 [T₁]			+10% -10%
✖The Temperature of Surface 2 is the thermal state of the second surface in a heat transfer system, influencing heat flow and energy exchange.ⓘ Temperature of Surface 2 [T₂]			+10% -10%

✖The Heat Flux is the rate of thermal energy transfer per unit area, indicating how much heat is being transferred through a surface in a given time.ⓘ Black Bodies Heat Exchange by Radiation [q]

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Black Bodies Heat Exchange by Radiation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Heat Flux = Emissivity*[Stefan-BoltZ]*Cross Sectional Area*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))
q = ε*[Stefan-BoltZ]*A_cs*(T₁^(4)-T₂^(4))
This formula uses 1 Constants, 5 Variables

Constants Used

[Stefan-BoltZ] - Stefan-Boltzmann Constant Value Taken As 5.670367E-8

Variables Used

Heat Flux - (Measured in Watt per Square Meter) - The Heat Flux is the rate of thermal energy transfer per unit area, indicating how much heat is being transferred through a surface in a given time.
Emissivity - The Emissivity is a measure of a material's ability to emit thermal radiation compared to a perfect black body, influencing heat transfer in thermal systems.
Cross Sectional Area - (Measured in Square Meter) - The Cross Sectional Area is the area of a cut surface through a solid object, influencing fluid flow and heat transfer in thermodynamic applications.
Temperature of Surface 1 - (Measured in Kelvin) - The Temperature of Surface 1 is the measure of heat present on the first surface in a thermal system, influencing heat transfer through conduction, convection, and radiation.
Temperature of Surface 2 - (Measured in Kelvin) - The Temperature of Surface 2 is the thermal state of the second surface in a heat transfer system, influencing heat flow and energy exchange.

STEP 1: Convert Input(s) to Base Unit

Emissivity: 0.95 --> No Conversion Required
Cross Sectional Area: 41 Square Meter --> 41 Square Meter No Conversion Required
Temperature of Surface 1: 101.01 Kelvin --> 101.01 Kelvin No Conversion Required
Temperature of Surface 2: 91.114 Kelvin --> 91.114 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = ε*[Stefan-BoltZ]*A_cs*(T₁^(4)-T₂^(4)) --> 0.95*[Stefan-BoltZ]*41*(101.01^(4)-91.114^(4))

Evaluating ... ...

q = 77.7040918329905

STEP 3: Convert Result to Output's Unit

77.7040918329905 Watt per Square Meter --> No Conversion Required

FINAL ANSWER

77.7040918329905 ≈ 77.70409 Watt per Square Meter <-- Heat Flux

(Calculation completed in 00.020 seconds)

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Home » Engineering » Mechanical » Thermodynamics » Heat Transfer » Conduction, Convection and Radiation » Black Bodies Heat Exchange by Radiation

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< Conduction, Convection and Radiation Calculators

Heat Exchange by Radiation due to Geometric Arrangement

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

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

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

Thermal Resistance in Convection Heat Transfer

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

< Heat Emission due to Radiation Calculators

Heat Exchange by Radiation due to Geometric Arrangement

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

Black Bodies Heat Exchange by Radiation

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

Non Ideal Body Surface Emittance

Go Real Surface Radiant Surface Emittance = Emissivity*[Stefan-BoltZ]*Surface Temperature^(4)

Radiation energy emitted by black body per unit time and surface area

Go Heat Flux = [Stefan-BoltZ]*Temperature^4

Black Bodies Heat Exchange by Radiation Formula

Heat Flux = Emissivity*[Stefan-BoltZ]*Cross Sectional Area*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))
q = ε*[Stefan-BoltZ]*A_cs*(T₁^(4)-T₂^(4))

What is black body emission?

A black body in thermal equilibrium (that is, at a constant temperature) emits electromagnetic black-body radiation. The radiation is emitted according to Planck's law, meaning that it has a spectrum that is determined by the temperature alone, not by the body's shape or composition.

How to Calculate Black Bodies Heat Exchange by Radiation?

Black Bodies Heat Exchange by Radiation calculator uses Heat Flux = Emissivity*[Stefan-BoltZ]*Cross Sectional Area*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4)) to calculate the Heat Flux, Black Bodies Heat Exchange by Radiation formula is defined as a measure of the net heat exchange per unit area between a black body and its surroundings due to thermal radiation, considering the emissivity, surface area, and temperatures of the two bodies. Heat Flux is denoted by q symbol.

How to calculate Black Bodies Heat Exchange by Radiation using this online calculator? To use this online calculator for Black Bodies Heat Exchange by Radiation, enter Emissivity (ε), Cross Sectional Area (A_cs), Temperature of Surface 1 (T₁) & Temperature of Surface 2 (T₂) and hit the calculate button. Here is how the Black Bodies Heat Exchange by Radiation calculation can be explained with given input values -> 77.69741 = 0.95*[Stefan-BoltZ]*41*(101.01^(4)-91.114^(4)).

FAQ

What is Black Bodies Heat Exchange by Radiation?

Black Bodies Heat Exchange by Radiation formula is defined as a measure of the net heat exchange per unit area between a black body and its surroundings due to thermal radiation, considering the emissivity, surface area, and temperatures of the two bodies and is represented as q = ε*[Stefan-BoltZ]*A_cs*(T₁^(4)-T₂^(4)) or Heat Flux = Emissivity*[Stefan-BoltZ]*Cross Sectional Area*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4)). The Emissivity is a measure of a material's ability to emit thermal radiation compared to a perfect black body, influencing heat transfer in thermal systems, The Cross Sectional Area is the area of a cut surface through a solid object, influencing fluid flow and heat transfer in thermodynamic applications, The Temperature of Surface 1 is the measure of heat present on the first surface in a thermal system, influencing heat transfer through conduction, convection, and radiation & The Temperature of Surface 2 is the thermal state of the second surface in a heat transfer system, influencing heat flow and energy exchange.

How to calculate Black Bodies Heat Exchange by Radiation?

Black Bodies Heat Exchange by Radiation formula is defined as a measure of the net heat exchange per unit area between a black body and its surroundings due to thermal radiation, considering the emissivity, surface area, and temperatures of the two bodies is calculated using Heat Flux = Emissivity*[Stefan-BoltZ]*Cross Sectional Area*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4)). To calculate Black Bodies Heat Exchange by Radiation, you need Emissivity (ε), Cross Sectional Area (A_cs), Temperature of Surface 1 (T₁) & Temperature of Surface 2 (T₂). With our tool, you need to enter the respective value for Emissivity, Cross Sectional Area, Temperature of Surface 1 & Temperature of Surface 2 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 Flux?

In this formula, Heat Flux uses Emissivity, Cross Sectional Area, Temperature of Surface 1 & Temperature of Surface 2. We can use 3 other way(s) to calculate the same, which is/are as follows -

Heat Flux = Emissivity*Cross Sectional Area*[Stefan-BoltZ]*Shape Factor*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))
Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Recovery Temperature)
Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid)

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