Heat Exchange by Radiation due to Geometric Arrangement Calculator

✖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.ⓘ Emissivity [ε]			+10% -10%
✖The Cross Sectional Area is the area of a particular section of an object, which influences the heat emission characteristics during radiation processes.ⓘ Cross Sectional Area [A_cs]			+10% -10%
✖The Shape Factor is a dimensionless quantity that characterizes the geometric configuration of a surface, influencing the efficiency of heat emission through radiation.ⓘ Shape Factor [SF]			+10% -10%
✖The Temperature of Surface 1 is the measure of thermal energy at the first surface, influencing heat transfer and radiation in mechanical systems.ⓘ Temperature of Surface 1 [T₁]			+10% -10%
✖The Temperature of Surface 2 is the thermal state of the second surface, influencing heat transfer and radiation in mechanical systems.ⓘ Temperature of Surface 2 [T₂]			+10% -10%

✖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.ⓘ Heat Exchange by Radiation due to Geometric Arrangement [q]

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Heat Exchange by Radiation due to Geometric Arrangement Solution

STEP 0: Pre-Calculation Summary

Formula Used

Heat Flux = Emissivity*Cross Sectional Area*[Stefan-BoltZ]*Shape Factor*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))
q = ε*A_cs*[Stefan-BoltZ]*SF*(T₁^(4)-T₂^(4))
This formula uses 1 Constants, 6 Variables

Constants Used

[Stefan-BoltZ] - Stefan-Boltzmann Constant Value Taken As 5.670367E-8

Variables Used

Heat Flux - (Measured in Watt per Square Meter) - 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.
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.
Cross Sectional Area - (Measured in Square Meter) - The Cross Sectional Area is the area of a particular section of an object, which influences the heat emission characteristics during radiation processes.
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.
Temperature of Surface 1 - (Measured in Kelvin) - The Temperature of Surface 1 is the measure of thermal energy at the first surface, influencing heat transfer and radiation in mechanical systems.
Temperature of Surface 2 - (Measured in Kelvin) - The Temperature of Surface 2 is the thermal state of the second surface, influencing heat transfer and radiation in mechanical systems.

STEP 1: Convert Input(s) to Base Unit

Emissivity: 0.95 --> No Conversion Required
Cross Sectional Area: 41 Square Meter --> 41 Square Meter No Conversion Required
Shape Factor: 1.000001 --> No Conversion Required
Temperature of Surface 1: 101.01 Kelvin --> 101.01 Kelvin No Conversion Required
Temperature of Surface 2: 91.114 Kelvin --> 91.114 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = ε*A_cs*[Stefan-BoltZ]*SF*(T₁^(4)-T₂^(4)) --> 0.95*41*[Stefan-BoltZ]*1.000001*(101.01^(4)-91.114^(4))

Evaluating ... ...

q = 77.7041695370823

STEP 3: Convert Result to Output's Unit

77.7041695370823 Watt per Square Meter --> No Conversion Required

FINAL ANSWER

77.7041695370823 ≈ 77.70417 Watt per Square Meter <-- Heat Flux

(Calculation completed in 00.020 seconds)

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Home » Engineering » Mechanical » Thermodynamics » Heat Transfer » Conduction, Convection and Radiation » Heat Exchange by Radiation due to Geometric Arrangement

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Conduction, Convection and 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))

Heat Transfer According to Fourier's Law

LaTeX Go Heat Flow Through a Body = -(Thermal Conductivity of Fin*Surface Area of Heat Flow*Temperature Difference/Thickness of The Body)

Convective Processes Heat Transfer Coefficient

LaTeX Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Recovery Temperature)

Thermal Resistance in Convection Heat Transfer

LaTeX Go Thermal Resistance = 1/(Exposed Surface Area*Coefficient of Convective Heat Transfer)

< 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

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

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

Heat Exchange by Radiation due to Geometric Arrangement Formula

LaTeX Go

Heat Flux = Emissivity*Cross Sectional Area*[Stefan-BoltZ]*Shape Factor*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))
q = ε*A_cs*[Stefan-BoltZ]*SF*(T₁^(4)-T₂^(4))

what do you mean by Heat Transfer?

Heat transfer, any or all of several kinds of phenomena, considered as mechanisms, that convey energy and entropy from one location to another. The specific mechanisms are usually referred to as convection, thermal radiation, and conduction.

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

Heat Exchange by Radiation due to Geometric Arrangement calculator uses Heat Flux = Emissivity*Cross Sectional Area*[Stefan-BoltZ]*Shape Factor*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4)) to calculate 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 calculate Heat Exchange by Radiation due to Geometric Arrangement using this online calculator? To use this online calculator 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. Here is how the Heat Exchange by Radiation due to Geometric Arrangement calculation can be explained with given input values -> 77.70417 = 0.95*41*[Stefan-BoltZ]*1.000001*(101.01^(4)-91.114^(4)).

FAQ

What is Heat Exchange by Radiation due to Geometric Arrangement?

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 and is represented as q = ε*A_cs*[Stefan-BoltZ]*SF*(T₁^(4)-T₂^(4)) or Heat Flux = Emissivity*Cross Sectional Area*[Stefan-BoltZ]*Shape Factor*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4)). 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, The Cross Sectional Area is the area of a particular section of an object, which influences the heat emission characteristics during radiation processes, The Shape Factor is a dimensionless quantity that characterizes the geometric configuration of a surface, influencing the efficiency of heat emission through radiation, The Temperature of Surface 1 is the measure of thermal energy at the first surface, influencing heat transfer and radiation in mechanical systems & The Temperature of Surface 2 is the thermal state of the second surface, influencing heat transfer and radiation in mechanical systems.

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

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 is calculated using Heat Flux = Emissivity*Cross Sectional Area*[Stefan-BoltZ]*Shape Factor*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4)). To calculate Heat Exchange by Radiation due to Geometric Arrangement, you need Emissivity (ε), Cross Sectional Area (A_cs), Shape Factor (SF), Temperature of Surface 1 (T₁) & Temperature of Surface 2 (T₂). With our tool, you need to enter the respective value for Emissivity, Cross Sectional Area, Shape Factor, Temperature of Surface 1 & Temperature of Surface 2 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Heat Flux?

In this formula, Heat Flux uses Emissivity, Cross Sectional Area, Shape Factor, Temperature of Surface 1 & Temperature of Surface 2. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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