Thermal Resistance of black body surface due to radiation Calculator

✖The area is the amount of two-dimensional space taken up by an object.ⓘ Area [A]			+10% -10%
✖The Initial temperature is defined as the measure of heat under initial state or conditions.ⓘ Initial Temperature [T_o]			+10% -10%
✖The Final temperature is the temperature at which measurements are made in final 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%

✖Total Thermal Resistance is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow.ⓘ Thermal Resistance of black body surface due to radiation [ΣR_Thermal]

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Formula

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Thermal Resistance of black body surface due to radiation

Formula

ΣR Thermal = \frac{1}{([Stefan-BoltZ]) \cdot A \cdot ({(T o)}^{2} + {(T f)}^{2}) \cdot (T o + T f) \cdot F ij}

Example

8.308776 K/W = \frac{1}{([Stefan-BoltZ]) \cdot 50 m² \cdot ({(20 K)}^{2} + {(27 K)}^{2}) \cdot (20 K + 27 K) \cdot 0.8}

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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) - 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

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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Created by Prasana Kannan

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

Prasana Kannan has created this Calculator and 25+ more calculators!

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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

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

Go Heat Transfer = Emissivity*[Stefan-BoltZ]*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

Thermal Resistance of black body surface due to radiation Formula

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 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?

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 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 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 (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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