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Heat Exchange by Radiation due to Geometric Arrangement Formula

GoBlack Bodies Heat Exchange by Radiation Formula

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Heat Transfer is the amount of heat that is transferred per unit of time in some material, usually measured in watts (joules per second). Check FAQs

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

q - Heat Transfer?ε - Emissivity?A - 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.

-5454.3694 = 0.95 \cdot 50 \cdot 5.7E-8 \cdot 4.87 \cdot (101^{4} - 151^{4})

-5454.3694W = 0.95 \cdot 50m² \cdot 5.7E-8 \cdot 4.87 \cdot ({101K}^{4} - {151K}^{4})

-5454.3694 = 0.95 \cdot 50 \cdot 5.7E-8 \cdot 4.87 \cdot (101^{4} - 151^{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 \cdot [Stefan-BoltZ] \cdot SF \cdot ({T 1}^{4} - {T 2}^{4})

Next Step Substitute values of Variables

∴

q = 0.95 \cdot 50m² \cdot [Stefan-BoltZ] \cdot 4.87 \cdot ({101K}^{4} - {151K}^{4})

Next Step Substitute values of Constants

∴

q = 0.95 \cdot 50m² \cdot 5.7E-8 \cdot 4.87 \cdot ({101K}^{4} - {151K}^{4})

Next Step Prepare to Evaluate

∴

q = 0.95 \cdot 50 \cdot 5.7E-8 \cdot 4.87 \cdot (101^{4} - 151^{4})

Next Step Evaluate

∴

q = -5454.36936101831W

LAST Step Rounding Answer

∴

q = -5454.3694W

Heat Exchange by Radiation due to Geometric Arrangement Formula Elements

Variables

Constants

Heat Transfer

Heat Transfer is the amount of heat that is transferred per unit of time in some material, usually measured in watts (joules per second).

Symbol: q

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Heat Transfer

Emissivity

Emissivity is the ability of an object to emit infrared energy. Emissivity can have a value from 0 (shiny mirror) to 1.0 (blackbody). Most organic or oxidized surfaces have emissivity close to 0.95.

Symbol: ε

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Emissivity

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

Shape Factor

Shape factor is a term related to the compression or deflection of a material when a load is applied to the material per its given shape.

Symbol: SF

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Shape Factor

Temperature of Surface 1

Temperature of Surface 1 is the temperature of the 1st surface.

Symbol: T₁

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature of Surface 1

Temperature of Surface 2

Temperature of Surface 2 is the temperature of the 2nd surface.

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 Transfer

Go Black Bodies Heat Exchange by Radiation

q = ε \cdot [Stefan-BoltZ] \cdot A \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

q' = [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*Area*[Stefan-BoltZ]*Shape Factor*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4)) to evaluate the Heat Transfer, 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 Transfer 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), Area (A), 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*Area*[Stefan-BoltZ]*Shape Factor*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4)). Here is an example- 77.69632 = 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), Area (A), 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*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 Transfer?

Here are the different ways to Calculate Heat Transfer-

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 Power 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[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] 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 Transfer

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

Variable Name

GoBlack Bodies Heat Exchange by Radiation Formula