Thermal Resistance of black body surface due to radiation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Thermal Resistance = 1/(([Stefan-BoltZ])*Area*((Initial Temperature)^2+(Final Temperature)^2)* (Initial Temperature+Final Temperature)*Radiation Shape Factor(Geometry depended))
ΣRThermal = 1/(([Stefan-BoltZ])*A*((To)^2+(Tf)^2)* (To+Tf)*Fij)
This formula uses 1 Constants, 5 Variables
Constants Used
[Stefan-BoltZ] - Stefan-Boltzmann Constant Value Taken As 5.670367E-8
Variables Used
Total Thermal Resistance - (Measured in Kelvin per Watt) - Total Thermal Resistance is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow.
Area - (Measured in Square Meter) - The area is the amount of two-dimensional space taken up by an object.
Initial Temperature - (Measured in Kelvin) - The Initial temperature is defined as the measure of heat under initial state or conditions.
Final Temperature - (Measured in Kelvin) - The Final temperature is the temperature at which measurements are made in final state.
Radiation Shape Factor(Geometry depended) - The radiation Shape factor(geometry depended) is the fraction of radiation energy radiated by one surface which is incident on another surface when both surfaces are placed in a non-absorbing medium.
STEP 1: Convert Input(s) to Base Unit
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
Initial Temperature: 20 Kelvin --> 20 Kelvin No Conversion Required
Final Temperature: 27 Kelvin --> 27 Kelvin No Conversion Required
Radiation Shape Factor(Geometry depended): 0.8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ΣRThermal = 1/(([Stefan-BoltZ])*A*((To)^2+(Tf)^2)* (To+Tf)*Fij) --> 1/(([Stefan-BoltZ])*50*((20)^2+(27)^2)* (20+27)*0.8)
Evaluating ... ...
ΣRThermal = 8.30877580143972
STEP 3: Convert Result to Output's Unit
8.30877580143972 Kelvin per Watt --> No Conversion Required
FINAL ANSWER
8.30877580143972 8.308776 Kelvin per Watt <-- Total Thermal Resistance
(Calculation completed in 00.020 seconds)

Credits

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Sri sivasubramaniyanadar college of engineering (ssn college of engineering), Chennai
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8 Radiation Calculators

Thermal Resistance of black body surface due to radiation
Go Total Thermal Resistance = 1/(([Stefan-BoltZ])*Area*((Initial Temperature)^2+(Final Temperature)^2)* (Initial Temperature+Final Temperature)*Radiation Shape Factor(Geometry depended))
Temperature of black body to emit certain amount of radiation energy
Go Temperature = (Energy/([Stefan-BoltZ]*Total Surface Area*Time interval or time period))^0.25
Spectral black body emissive power Planck's law
Go Spectral Blackbody Emissive Power = (0.374177107*(10^(-15)))/((Wavelength^5)*(e^(0.014387752/(Wavelength*Temperature))-1))
Surface Area of Black Body required to Emit certain amount of Radiation Energy
Go Total Surface Area = Energy/([Stefan-BoltZ]*(Temperature^4)*Time interval or time period)
Time required to emit specified amount of radiation energy from black body
Go Time interval or time period = Energy/([Stefan-BoltZ]*(Temperature^4)*Total Surface Area)
Radiation energy emitted by black body in time interval given temperature
Go Energy = [Stefan-BoltZ]*Temperature^4*Total Surface Area*Time interval or time period
Radiation energy emitted by black body in time interval given emissive power
Go Energy = Emissive Power of Black Body*Surface Area*Time Interval from the Peak
Radiation energy emitted by black body per unit time and surface area
Go Heat Flux = [Stefan-BoltZ]*Temperature^4

Thermal Resistance of black body surface due to radiation Formula

Total Thermal Resistance = 1/(([Stefan-BoltZ])*Area*((Initial Temperature)^2+(Final Temperature)^2)* (Initial Temperature+Final Temperature)*Radiation Shape Factor(Geometry depended))
ΣRThermal = 1/(([Stefan-BoltZ])*A*((To)^2+(Tf)^2)* (To+Tf)*Fij)

What is a black body?

A black body is an idealized physical body that absorbs all incident electromagnetic radiation, regardless of frequency or angle of incidence. The name "black body" is given because it absorbs all colors of light. A black body also emits black-body radiation.

What does Thermal Resistance mean?

Thermal resistance is the reciprocal of thermal conductance, thermal resistance R in kelvins per watt is a property of a particular component.

How to Calculate Thermal Resistance of black body surface due to radiation?

Thermal Resistance of black body surface due to radiation calculator uses Total Thermal Resistance = 1/(([Stefan-BoltZ])*Area*((Initial Temperature)^2+(Final Temperature)^2)* (Initial Temperature+Final Temperature)*Radiation Shape Factor(Geometry depended)) to calculate the Total Thermal Resistance, The thermal resistance of black body surface due to radiation formula is defined as thermal resistance offered by the black body due to radiation through temperature from surface1 to surface2. Total Thermal Resistance is denoted by ΣRThermal symbol.

How to calculate Thermal Resistance of black body surface due to radiation using this online calculator? To use this online calculator for Thermal Resistance of black body surface due to radiation, enter Area (A), Initial Temperature (To), Final Temperature (Tf) & Radiation Shape Factor(Geometry depended) (Fij) and hit the calculate button. Here is how the Thermal Resistance of black body surface due to radiation calculation can be explained with given input values -> 8.308776 = 1/(([Stefan-BoltZ])*50*((20)^2+(27)^2)* (20+27)*0.8).

FAQ

What is Thermal Resistance of black body surface due to radiation?
The thermal resistance of black body surface due to radiation formula is defined as thermal resistance offered by the black body due to radiation through temperature from surface1 to surface2 and is represented as ΣRThermal = 1/(([Stefan-BoltZ])*A*((To)^2+(Tf)^2)* (To+Tf)*Fij) or Total Thermal Resistance = 1/(([Stefan-BoltZ])*Area*((Initial Temperature)^2+(Final Temperature)^2)* (Initial Temperature+Final Temperature)*Radiation Shape Factor(Geometry depended)). The area is the amount of two-dimensional space taken up by an object, The Initial temperature is defined as the measure of heat under initial state or conditions, The Final temperature is the temperature at which measurements are made in final state & The radiation Shape factor(geometry depended) is the fraction of radiation energy radiated by one surface which is incident on another surface when both surfaces are placed in a non-absorbing medium.
How to calculate Thermal Resistance of black body surface due to radiation?
The thermal resistance of black body surface due to radiation formula is defined as thermal resistance offered by the black body due to radiation through temperature from surface1 to surface2 is calculated using Total Thermal Resistance = 1/(([Stefan-BoltZ])*Area*((Initial Temperature)^2+(Final Temperature)^2)* (Initial Temperature+Final Temperature)*Radiation Shape Factor(Geometry depended)). To calculate Thermal Resistance of black body surface due to radiation, you need Area (A), Initial Temperature (To), Final Temperature (Tf) & Radiation Shape Factor(Geometry depended) (Fij). With our tool, you need to enter the respective value for Area, Initial Temperature, Final Temperature & Radiation Shape Factor(Geometry depended) 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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