Thermal Resistance of black body surface due to radiation Calculator

✖The Area is the surface extent over which heat is emitted due to radiation, influencing thermal interactions in mechanical systems.ⓘ Area [A]			+10% -10%
✖The Initial Temperature is the starting temperature of a system or material before any heat transfer or radiation occurs, influencing the overall heat emission characteristics.ⓘ Initial Temperature [T_o]			+10% -10%
✖The Final Temperature is the temperature reached by an object after it has emitted or absorbed heat through radiation, reflecting its thermal equilibrium state.ⓘ Final Temperature [T_f]			+10% -10%
✖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.ⓘ Radiation Shape Factor(Geometry depended) [F_ij]			+10% -10%

✖The Total Thermal Resistance is the measure of a material's ability to resist heat transfer, influencing the efficiency of thermal management in various applications.ⓘ Thermal Resistance of black body surface due to radiation [ΣR_Thermal]

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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))
ΣR_Thermal = 1/(([Stefan-BoltZ])*A*((T_o)^2+(T_f)^2)*(T_o+T_f)*F_ij)
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) - The Total Thermal Resistance is the measure of a material's ability to resist heat transfer, influencing the efficiency of thermal management in various applications.
Area - (Measured in Square Meter) - The Area is the surface extent over which heat is emitted due to radiation, influencing thermal interactions in mechanical systems.
Initial Temperature - (Measured in Kelvin) - The Initial Temperature is the starting temperature of a system or material before any heat transfer or radiation occurs, influencing the overall heat emission characteristics.
Final Temperature - (Measured in Kelvin) - The Final Temperature is the temperature reached by an object after it has emitted or absorbed heat through radiation, reflecting its thermal equilibrium 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

ΣR_Thermal = 1/(([Stefan-BoltZ])*A*((T_o)^2+(T_f)^2)*(T_o+T_f)*F_ij) --> 1/(([Stefan-BoltZ])*50*((20)^2+(27)^2)*(20+27)*0.8)

Evaluating ... ...

ΣR_Thermal = 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 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Radiation » Mechanical » Heat Emission due to Radiation » Thermal Resistance of black body surface due to radiation

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Created by Prasana Kannan

Sri sivasubramaniyanadar college of engineering (ssn college of engineering), Chennai

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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< Heat Emission due to 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))

Black Bodies Heat Exchange by Radiation

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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 Radiation Energy Emmited by Black Body = [Stefan-BoltZ]*Temperature^4

Thermal Resistance of black body surface due to radiation Formula

LaTeX Go

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, Thermal Resistance of black body surface due to radiation formula is defined as a measure of the opposition to heat transfer between a black body surface and its surroundings through radiation, which is influenced by the Stefan-Boltzmann constant, surface area, and temperatures of the objects involved. Total Thermal Resistance is denoted by ΣR_Thermal 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 (T_o), Final Temperature (T_f) & Radiation Shape Factor(Geometry depended) (F_ij) 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?

Thermal Resistance of black body surface due to radiation formula is defined as a measure of the opposition to heat transfer between a black body surface and its surroundings through radiation, which is influenced by the Stefan-Boltzmann constant, surface area, and temperatures of the objects involved and is represented as ΣR_Thermal = 1/(([Stefan-BoltZ])*A*((T_o)^2+(T_f)^2)*(T_o+T_f)*F_ij) 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 surface extent over which heat is emitted due to radiation, influencing thermal interactions in mechanical systems, The Initial Temperature is the starting temperature of a system or material before any heat transfer or radiation occurs, influencing the overall heat emission characteristics, The Final Temperature is the temperature reached by an object after it has emitted or absorbed heat through radiation, reflecting its thermal equilibrium 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?

Thermal Resistance of black body surface due to radiation formula is defined as a measure of the opposition to heat transfer between a black body surface and its surroundings through radiation, which is influenced by the Stefan-Boltzmann constant, surface area, and temperatures of the objects involved 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 (T_o), Final Temperature (T_f) & Radiation Shape Factor(Geometry depended) (F_ij). 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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