How to Calculate and Solve for Heat Extraction by Radiation | Solidification of Metals
Last Updated on September 16, 2021
The image above represents heat extraction by radiation.
To compute for heat extraction by radiation, four essential parameters are needed and these parameters are Emissivity (ε), Stefan-Boltzmann Constant (σ), Surface Temperature of Metal (Tsurf) and Ambient Temperature (Tamb).
The formula for calculating heat extraction by radiation:
qx = εσ(Tsurf4 – Tamb4)
Where:
qx = Heat Extraction by Radiation
ε = Emissivity
σ = Stefan-Boltzmann Constant
Tsurf = Surface Temperature of Metal
Tamb = Ambient Temperature
Let’s solve an example;
Find the heat extraction by radiation where the emissivity is 20, the stefan-boltzmann constant is 5.67E-8, the surface temperature of metal is 14 and the ambient temperature is 12.
This implies that;
ε = Emissivity = 20
σ = Stefan-Boltzmann Constant = 5.67E-8
Tsurf = Surface Temperature of Metal = 14
Tamb = Ambient Temperature = 12
qx = εσ(Tsurf4 – Tamb4)
qx = 20(5.67e-8)(144 – 124)
qx = 20(5.67e-8)(38416 – 20736)
qx = 20(5.67e-8)(17680)
qx = 0.02004912
Therefore, the heat extraction by radiation is 0.02004912 W.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the heat extraction by radiation.
To get the answer and workings of the heat extraction by radiation using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.
You can get this app via any of these means:
Web – https://www.nickzom.org/calculator-plus
To get access to the professional version via web, you need to register and subscribe for NGN 2,000 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.
Now, Click on Solidification of Metal under Materials and Metallurgical
Now, Click on Heat Extraction by Radiation under Solidification of Metal
The screenshot below displays the page or activity to enter your values, to get the answer for the heat extraction by radiation according to the respective parameter which is the Emissivity (ε), Stefan-Boltzmann Constant (σ), Surface Temperature of Metal (Tsurf) and Ambient Temperature (Tamb).
Now, enter the values appropriately and accordingly for the parameters as required by the Emissivity (ε) is 20, Stefan-Boltzmann Constant (σ) is 5.67E-8, Surface Temperature of Metal (Tsurf) is 12 and Ambient Temperature (Tamb) is 12.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the heat extraction by radiation and presents the formula, workings and steps too.
