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Thermal Resistance of black body surface due to radiation Formula

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Total Thermal Resistance is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow. Check FAQs

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

ΣR_Thermal - Total Thermal Resistance?A - Area?T_o - Initial Temperature?T_f - Final Temperature?F_ij - Radiation Shape Factor(Geometry depended)?[Stefan-BoltZ] - Stefan-Boltzmann Constant?

Thermal Resistance of black body surface due to radiation Example

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Here is how the Thermal Resistance of black body surface due to radiation equation looks like with Values.

Here is how the Thermal Resistance of black body surface due to radiation equation looks like with Units.

Here is how the Thermal Resistance of black body surface due to radiation equation looks like.

8.3088 = \frac{1}{(5.7E-8) \cdot 50 \cdot ({(20)}^{2} + {(27)}^{2}) \cdot (20 + 27) \cdot 0.8}

8.3088K/W = \frac{1}{(5.7E-8) \cdot 50m² \cdot ({(20K)}^{2} + {(27K)}^{2}) \cdot (20K + 27K) \cdot 0.8}

8.3088 = \frac{1}{(5.7E-8) \cdot 50 \cdot ({(20)}^{2} + {(27)}^{2}) \cdot (20 + 27) \cdot 0.8}

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Thermal Resistance of black body surface due to radiation Solution

Follow our step by step solution on how to calculate Thermal Resistance of black body surface due to radiation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

ΣR Thermal = \frac{1}{(5.7E-8) \cdot 50m² \cdot ({(20K)}^{2} + {(27K)}^{2}) \cdot (20K + 27K) \cdot 0.8}

Next Step Prepare to Evaluate

∴

ΣR Thermal = \frac{1}{(5.7E-8) \cdot 50 \cdot ({(20)}^{2} + {(27)}^{2}) \cdot (20 + 27) \cdot 0.8}

Next Step Evaluate

∴

ΣR Thermal = 8.30877580143972K/W

LAST Step Rounding Answer

∴

ΣR Thermal = 8.3088K/W

Thermal Resistance of black body surface due to radiation Formula Elements

Variables

Constants

Total Thermal Resistance

Total Thermal Resistance is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow.

Symbol: ΣR_Thermal

Measurement: Thermal ResistanceUnit: K/W

Note: Value should be greater than 0.

Formulas to find Total Thermal Resistance

Area

The area is the amount of two-dimensional space taken up by an object.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area

Initial Temperature

The Initial temperature is defined as the measure of heat under initial state or conditions.

Symbol: T_o

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Initial Temperature

Final Temperature

The Final temperature is the temperature at which measurements are made in final state.

Symbol: T_f

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Final Temperature

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.

Symbol: F_ij

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Radiation Shape Factor(Geometry depended)

Stefan-Boltzmann Constant

Stefan-Boltzmann Constant relates the total energy radiated by a perfect black body to its temperature and is fundamental in understanding blackbody radiation and astrophysics.

Symbol: [Stefan-BoltZ]

Value: 5.670367E-8

Other formulas in Heat Emission due to Radiation category

Go Black Bodies Heat Exchange by Radiation

q = ε \cdot [Stefan-BoltZ] \cdot A \cdot ({T 1}^{4} - {T 2}^{4})

Go Heat Exchange by Radiation due to Geometric Arrangement

q = ε \cdot A \cdot [Stefan-BoltZ] \cdot SF \cdot ({T 1}^{4} - {T 2}^{4})

Go Non Ideal Body Surface Emittance

e = ε \cdot [Stefan-BoltZ] \cdot {T w}^{4}

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

q' = [Stefan-BoltZ] \cdot T^{4}

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

Thermal Resistance of black body surface due to radiation evaluator uses Total Thermal Resistance = 1/(([Stefan-BoltZ])*Area*((Initial Temperature)^2+(Final Temperature)^2)*(Initial Temperature+Final Temperature)*Radiation Shape Factor(Geometry depended)) to evaluate 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 evaluate Thermal Resistance of black body surface due to radiation using this online evaluator? To use this online evaluator 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.

FAQs on Thermal Resistance of black body surface due to radiation

What is the formula to find Thermal Resistance of black body surface due to radiation?

The formula of Thermal Resistance of black body surface due to radiation is expressed as Total Thermal Resistance = 1/(([Stefan-BoltZ])*Area*((Initial Temperature)^2+(Final Temperature)^2)*(Initial Temperature+Final Temperature)*Radiation Shape Factor(Geometry depended)). Here is an example- 8.308776 = 1/(([Stefan-BoltZ])*50*((20)^2+(27)^2)*(20+27)*0.8).

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

With Area (A), Initial Temperature (T_o), Final Temperature (T_f) & Radiation Shape Factor(Geometry depended) (F_ij) we can find Thermal Resistance of black body surface due to radiation using the formula - Total Thermal Resistance = 1/(([Stefan-BoltZ])*Area*((Initial Temperature)^2+(Final Temperature)^2)*(Initial Temperature+Final Temperature)*Radiation Shape Factor(Geometry depended)). This formula also uses Stefan-Boltzmann Constant .

Can the Thermal Resistance of black body surface due to radiation be negative?

No, the Thermal Resistance of black body surface due to radiation, measured in Thermal Resistance cannot be negative.

Which unit is used to measure Thermal Resistance of black body surface due to radiation?

Thermal Resistance of black body surface due to radiation is usually measured using the Kelvin per Watt[K/W] for Thermal Resistance. Degree Fahrenheit hour per Btu (IT)[K/W], Degree Fahrenheit Hour per Btu (th)[K/W], Kelvin per Milliwatt[K/W] are the few other units in which Thermal Resistance of black body surface due to radiation can be measured.

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Thermal Resistance of black body surface due to radiation Formula

Thermal Resistance of black body surface due to radiation Example

Thermal Resistance of black body surface due to radiation Solution

Thermal Resistance of black body surface due to radiation Formula Elements

Other formulas in Heat Emission due to Radiation category

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

FAQs on Thermal Resistance of black body surface due to radiation

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