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Heat Exchange by Radiation due to Geometric Arrangement Formula

GoBlack Bodies Heat Exchange by Radiation Formula

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The Heat Flux is the rate of thermal energy transfer per unit area due to radiation, indicating how much heat is emitted from a surface. Check FAQs

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

q - Heat Flux?ε - Emissivity?A_cs - Cross Sectional Area?SF - Shape Factor?T₁ - Temperature of Surface 1?T₂ - Temperature of Surface 2?[Stefan-BoltZ] - Stefan-Boltzmann Constant?

Heat Exchange by Radiation due to Geometric Arrangement Example

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Here is how the Heat Exchange by Radiation due to Geometric Arrangement equation looks like with Values.

Here is how the Heat Exchange by Radiation due to Geometric Arrangement equation looks like with Units.

Here is how the Heat Exchange by Radiation due to Geometric Arrangement equation looks like.

77.7042 = 0.95 \cdot 41 \cdot 5.7E-8 \cdot 1 \cdot ({101.01}^{4} - {91.114}^{4})

77.7042W/m² = 0.95 \cdot 41m² \cdot 5.7E-8 \cdot 1 \cdot ({101.01K}^{4} - {91.114K}^{4})

77.7042 = 0.95 \cdot 41 \cdot 5.7E-8 \cdot 1 \cdot ({101.01}^{4} - {91.114}^{4})

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Heat Exchange by Radiation due to Geometric Arrangement Solution

Follow our step by step solution on how to calculate Heat Exchange by Radiation due to Geometric Arrangement?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

q = 0.95 \cdot 41m² \cdot [Stefan-BoltZ] \cdot 1 \cdot ({101.01K}^{4} - {91.114K}^{4})

Next Step Substitute values of Constants

∴

q = 0.95 \cdot 41m² \cdot 5.7E-8 \cdot 1 \cdot ({101.01K}^{4} - {91.114K}^{4})

Next Step Prepare to Evaluate

∴

q = 0.95 \cdot 41 \cdot 5.7E-8 \cdot 1 \cdot ({101.01}^{4} - {91.114}^{4})

Next Step Evaluate

∴

q = 77.7041695370823W/m²

LAST Step Rounding Answer

∴

q = 77.7042W/m²

Heat Exchange by Radiation due to Geometric Arrangement Formula Elements

Variables

Constants

Heat Flux

The Heat Flux is the rate of thermal energy transfer per unit area due to radiation, indicating how much heat is emitted from a surface.

Symbol: q

Measurement: Heat Flux DensityUnit: W/m²

Note: Value can be positive or negative.

Formulas to find Heat Flux

Emissivity

The Emissivity is a measure of a material's ability to emit thermal radiation compared to that of a perfect black body at the same temperature.

Symbol: ε

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Emissivity

Cross Sectional Area

The Cross Sectional Area is the area of a particular section of an object, which influences the heat emission characteristics during radiation processes.

Symbol: A_cs

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area

Shape Factor

The Shape Factor is a dimensionless quantity that characterizes the geometric configuration of a surface, influencing the efficiency of heat emission through radiation.

Symbol: SF

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Shape Factor

Temperature of Surface 1

The Temperature of Surface 1 is the measure of thermal energy at the first surface, influencing heat transfer and radiation in mechanical systems.

Symbol: T₁

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature of Surface 1

Temperature of Surface 2

The Temperature of Surface 2 is the thermal state of the second surface, influencing heat transfer and radiation in mechanical systems.

Symbol: T₂

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature of Surface 2

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 to find Heat Flux

Go Black Bodies Heat Exchange by Radiation

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

Other formulas in Conduction, Convection and Radiation category

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

G = [Stefan-BoltZ] \cdot T^{4}

Go Radiation energy emitted by black body in time interval given emissive power

E = E b \cdot SA \cdot N

Go Radiation energy emitted by black body in time interval given temperature

E = [Stefan-BoltZ] \cdot T^{4} \cdot SA Total \cdot Δt

How to Evaluate Heat Exchange by Radiation due to Geometric Arrangement?

Heat Exchange by Radiation due to Geometric Arrangement evaluator uses Heat Flux = Emissivity*Cross Sectional Area*[Stefan-BoltZ]*Shape Factor*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4)) to evaluate the Heat Flux, Heat Exchange by Radiation due to Geometric Arrangement formula is defined as a measure of the rate of heat transfer between two objects due to their geometric arrangement, taking into account the emissivity, surface area, and temperature difference between the objects. Heat Flux is denoted by q symbol.

How to evaluate Heat Exchange by Radiation due to Geometric Arrangement using this online evaluator? To use this online evaluator for Heat Exchange by Radiation due to Geometric Arrangement, enter Emissivity (ε), Cross Sectional Area (A_cs), Shape Factor (SF), Temperature of Surface 1 (T₁) & Temperature of Surface 2 (T₂) and hit the calculate button.

FAQs on Heat Exchange by Radiation due to Geometric Arrangement

What is the formula to find Heat Exchange by Radiation due to Geometric Arrangement?

The formula of Heat Exchange by Radiation due to Geometric Arrangement is expressed as Heat Flux = Emissivity*Cross Sectional Area*[Stefan-BoltZ]*Shape Factor*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4)). Here is an example- 77.70417 = 0.95*41*[Stefan-BoltZ]*1.000001*(101.01^(4)-91.114^(4)).

How to calculate Heat Exchange by Radiation due to Geometric Arrangement?

With Emissivity (ε), Cross Sectional Area (A_cs), Shape Factor (SF), Temperature of Surface 1 (T₁) & Temperature of Surface 2 (T₂) we can find Heat Exchange by Radiation due to Geometric Arrangement using the formula - Heat Flux = Emissivity*Cross Sectional Area*[Stefan-BoltZ]*Shape Factor*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4)). This formula also uses Stefan-Boltzmann Constant .

What are the other ways to Calculate Heat Flux?

Here are the different ways to Calculate Heat Flux-

Heat Flux=Emissivity*[Stefan-BoltZ]*Cross Sectional Area*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))

Can the Heat Exchange by Radiation due to Geometric Arrangement be negative?

Yes, the Heat Exchange by Radiation due to Geometric Arrangement, measured in Heat Flux Density can be negative.

Which unit is used to measure Heat Exchange by Radiation due to Geometric Arrangement?

Heat Exchange by Radiation due to Geometric Arrangement is usually measured using the Watt per Square Meter[W/m²] for Heat Flux Density. Kilowatt per Square Meter[W/m²], Watt per Square Centimeter[W/m²], Watt per Square Inch[W/m²] are the few other units in which Heat Exchange by Radiation due to Geometric Arrangement can be measured.

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Heat Exchange by Radiation due to Geometric Arrangement Formula

​GoBlack Bodies Heat Exchange by Radiation Formula

Heat Exchange by Radiation due to Geometric Arrangement Example

Heat Exchange by Radiation due to Geometric Arrangement Solution

Heat Exchange by Radiation due to Geometric Arrangement Formula Elements

Other Formulas to find Heat Flux

Other formulas in Conduction, Convection and Radiation category

How to Evaluate Heat Exchange by Radiation due to Geometric Arrangement?

FAQs on Heat Exchange by Radiation due to Geometric Arrangement

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GoBlack Bodies Heat Exchange by Radiation Formula