Black Bodies Heat Exchange by Radiation Calculator

✖Emissivity is the ability of an object to emit infrared energy. Emissivity can have a value from 0 (shiny mirror) to 1.0 (blackbody). Most organic or oxidized surfaces have emissivity close to 0.95.ⓘ Emissivity [ε]			+10% -10%
✖The area is the amount of two-dimensional space taken up by an object.ⓘ Area [A]			+10% -10%
✖Temperature of Surface 1 is the temperature of the 1st surface.ⓘ Temperature of Surface 1 [T₁]			+10% -10%
✖Temperature of Surface 2 is the temperature of the 2nd surface.ⓘ Temperature of Surface 2 [T₂]			+10% -10%

✖Heat Transfer is the amount of heat that is transferred per unit of time in some material, usually measured in watts (joules per second).ⓘ 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 Transfer = Emissivity*[Stefan-BoltZ]*Area*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))
q = ε*[Stefan-BoltZ]*A*(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 Transfer - (Measured in Watt) - Heat Transfer is the amount of heat that is transferred per unit of time in some material, usually measured in watts (joules per second).
Emissivity - Emissivity is the ability of an object to emit infrared energy. Emissivity can have a value from 0 (shiny mirror) to 1.0 (blackbody). Most organic or oxidized surfaces have emissivity close to 0.95.
Area - (Measured in Square Meter) - The area is the amount of two-dimensional space taken up by an object.
Temperature of Surface 1 - (Measured in Kelvin) - Temperature of Surface 1 is the temperature of the 1st surface.
Temperature of Surface 2 - (Measured in Kelvin) - Temperature of Surface 2 is the temperature of the 2nd surface.

STEP 1: Convert Input(s) to Base Unit

Emissivity: 0.95 --> No Conversion Required
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
Temperature of Surface 1: 101 Kelvin --> 101 Kelvin No Conversion Required
Temperature of Surface 2: 151 Kelvin --> 151 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = ε*[Stefan-BoltZ]*A*(T₁^(4)-T₂^(4)) --> 0.95*[Stefan-BoltZ]*50*(101^(4)-151^(4))

Evaluating ... ...

q = -1119.99370862799

STEP 3: Convert Result to Output's Unit

-1119.99370862799 Watt --> No Conversion Required

FINAL ANSWER

-1119.99370862799 ≈ -1119.993709 Watt <-- Heat Transfer

(Calculation completed in 00.004 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

LaTeX Go Heat Transfer = Emissivity*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 Material*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)

< Heat Emission due to Radiation Calculators

Heat Exchange by Radiation due to Geometric Arrangement

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

Black Bodies Heat Exchange by Radiation

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

Non Ideal Body Surface Emittance

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

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

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

Black Bodies Heat Exchange by Radiation Formula

LaTeX Go

Heat Transfer = Emissivity*[Stefan-BoltZ]*Area*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))
q = ε*[Stefan-BoltZ]*A*(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 Transfer = Emissivity*[Stefan-BoltZ]*Area*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4)) to calculate the Heat Transfer, 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 Transfer 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), Area (A), 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 -> -1119.993709 = 0.95*[Stefan-BoltZ]*50*(101^(4)-151^(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*(T₁^(4)-T₂^(4)) or Heat Transfer = Emissivity*[Stefan-BoltZ]*Area*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4)). Emissivity is the ability of an object to emit infrared energy. Emissivity can have a value from 0 (shiny mirror) to 1.0 (blackbody). Most organic or oxidized surfaces have emissivity close to 0.95, The area is the amount of two-dimensional space taken up by an object, Temperature of Surface 1 is the temperature of the 1st surface & Temperature of Surface 2 is the temperature of the 2nd surface.

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 Transfer = Emissivity*[Stefan-BoltZ]*Area*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4)). To calculate Black Bodies Heat Exchange by Radiation, you need Emissivity (ε), Area (A), Temperature of Surface 1 (T₁) & Temperature of Surface 2 (T₂). With our tool, you need to enter the respective value for Emissivity, 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 Transfer?

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

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

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