Area of Surface 1 given Area 2 and Radiation Shape Factor for Both Surfaces Solution

STEP 0: Pre-Calculation Summary
Formula Used
Surface Area of Body 1 = Surface Area of Body 2*(Radiation Shape Factor 21/Radiation Shape Factor 12)
A1 = A2*(F21/F12)
This formula uses 4 Variables
Variables Used
Surface Area of Body 1 - (Measured in Square Meter) - The Surface Area of Body 1 is the area of body 1 through which the radiation takes place.
Surface Area of Body 2 - (Measured in Square Meter) - The Surface Area of Body 2 is the area of body 2 upon which the radiation takes place.
Radiation Shape Factor 21 - Radiation Shape Factor 21 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 12 - Radiation Shape Factor 12 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
Surface Area of Body 2: 50 Square Meter --> 50 Square Meter No Conversion Required
Radiation Shape Factor 21: 0.41 --> No Conversion Required
Radiation Shape Factor 12: 0.59 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A1 = A2*(F21/F12) --> 50*(0.41/0.59)
Evaluating ... ...
A1 = 34.7457627118644
STEP 3: Convert Result to Output's Unit
34.7457627118644 Square Meter --> No Conversion Required
FINAL ANSWER
34.7457627118644 34.74576 Square Meter <-- Surface Area of Body 1
(Calculation completed in 00.004 seconds)

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University School of Chemical Technology-USCT (GGSIPU), New Delhi
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23 Radiation Formulas Calculators

Radiosity given Emissive Power and Irradiation
Go Radiosity = (Emissivity*Emissive Power of Blackbody)+(Reflectivity*Irradiation)
Area of Surface 1 given Area 2 and Radiation Shape Factor for Both Surfaces
Go Surface Area of Body 1 = Surface Area of Body 2*(Radiation Shape Factor 21/Radiation Shape Factor 12)
Area of Surface 2 given Area 1 and Radiation Shape Factor for Both Surfaces
Go Surface Area of Body 2 = Surface Area of Body 1*(Radiation Shape Factor 12/Radiation Shape Factor 21)
Shape Factor 12 given Area of Both Surface and Shape Factor 21
Go Radiation Shape Factor 12 = (Surface Area of Body 2/Surface Area of Body 1)*Radiation Shape Factor 21
Shape Factor 21 given Area of Both Surface and Shape Factor 12
Go Radiation Shape Factor 21 = Radiation Shape Factor 12*(Surface Area of Body 1/Surface Area of Body 2)
Temperature of Radiation Shield Placed between Two Parallel Infinite Planes with Equal Emissivities
Go Temperature of Radiation Shield = (0.5*((Temperature of Plane 1^4)+(Temperature of Plane 2^4)))^(1/4)
Emissive Power of Blackbody
Go Emissive Power of Blackbody = [Stefan-BoltZ]*(Temperature of Blackbody^4)
Net Energy Leaving given Radiosity and Irradiation
Go Heat Transfer = Area*(Radiosity-Irradiation)
Emissive Power of Non Blackbody given Emissivity
Go Emissive Power of Non Blackbody = Emissivity*Emissive Power of Blackbody
Emissivity of Body
Go Emissivity = Emissive Power of Non Blackbody/Emissive Power of Blackbody
Total Resistance in Radiation Heat Transfer given Emissivity and Number of Shields
Go Resistance = (Number of Shields+1)*((2/Emissivity)-1)
Reflected Radiation given Absorptivity and Transmissivity
Go Reflectivity = 1-Absorptivity-Transmissivity
Absorptivity given Reflectivity and Transmissivity
Go Absorptivity = 1-Reflectivity-Transmissivity
Transmissivity Given Reflectivity and Absorptivity
Go Transmissivity = 1-Absorptivity-Reflectivity
Mass of Particle Given Frequency and Speed of Light
Go Mass of Particle = [hP]*Frequency/([c]^2)
Energy of each Quanta
Go Energy of Each Quanta = [hP]*Frequency
Wavelength Given Speed of Light and Frequency
Go Wavelength = [c]/Frequency
Frequency given Speed of Light and Wavelength
Go Frequency = [c]/Wavelength
Radiation Temperature given Maximum Wavelength
Go Radiation Temperature = 2897.6/Maximum Wavelength
Maximum Wavelength at given Temperature
Go Maximum Wavelength = 2897.6/Radiation Temperature
Resistance in Radiation Heat Transfer when No Shield is Present and Equal Emissivities
Go Resistance = (2/Emissivity)-1
Reflectivity given Absorptivity for Blackbody
Go Reflectivity = 1-Absorptivity
Reflectivity given Emissivity for Blackbody
Go Reflectivity = 1-Emissivity

25 Important Formulas in Radiation Heat Transfer Calculators

Heat Transfer between Concentric Spheres
Go Heat Transfer = (Surface Area of Body 1*[Stefan-BoltZ]*((Temperature of Surface 1^4)-(Temperature of Surface 2^4)))/((1/Emissivity of Body 1)+(((1/Emissivity of Body 2)-1)*((Radius of Smaller Sphere/Radius of Larger Sphere)^2)))
Heat Transfer between Small Convex Object in Large Enclosure
Go Heat Transfer = Surface Area of Body 1*Emissivity of Body 1*[Stefan-BoltZ]*((Temperature of Surface 1^4)-(Temperature of Surface 2^4))
Radiosity given Emissive Power and Irradiation
Go Radiosity = (Emissivity*Emissive Power of Blackbody)+(Reflectivity*Irradiation)
Area of Surface 1 given Area 2 and Radiation Shape Factor for Both Surfaces
Go Surface Area of Body 1 = Surface Area of Body 2*(Radiation Shape Factor 21/Radiation Shape Factor 12)
Area of Surface 2 given Area 1 and Radiation Shape Factor for Both Surfaces
Go Surface Area of Body 2 = Surface Area of Body 1*(Radiation Shape Factor 12/Radiation Shape Factor 21)
Shape Factor 12 given Area of Both Surface and Shape Factor 21
Go Radiation Shape Factor 12 = (Surface Area of Body 2/Surface Area of Body 1)*Radiation Shape Factor 21
Shape Factor 21 given Area of Both Surface and Shape Factor 12
Go Radiation Shape Factor 21 = Radiation Shape Factor 12*(Surface Area of Body 1/Surface Area of Body 2)
Temperature of Radiation Shield Placed between Two Parallel Infinite Planes with Equal Emissivities
Go Temperature of Radiation Shield = (0.5*((Temperature of Plane 1^4)+(Temperature of Plane 2^4)))^(1/4)
Emissive Power of Blackbody
Go Emissive Power of Blackbody = [Stefan-BoltZ]*(Temperature of Blackbody^4)
Net Energy Leaving given Radiosity and Irradiation
Go Heat Transfer = Area*(Radiosity-Irradiation)
Emissive Power of Non Blackbody given Emissivity
Go Emissive Power of Non Blackbody = Emissivity*Emissive Power of Blackbody
Emissivity of Body
Go Emissivity = Emissive Power of Non Blackbody/Emissive Power of Blackbody
Total Resistance in Radiation Heat Transfer given Emissivity and Number of Shields
Go Resistance = (Number of Shields+1)*((2/Emissivity)-1)
Reflected Radiation given Absorptivity and Transmissivity
Go Reflectivity = 1-Absorptivity-Transmissivity
Absorptivity given Reflectivity and Transmissivity
Go Absorptivity = 1-Reflectivity-Transmissivity
Transmissivity Given Reflectivity and Absorptivity
Go Transmissivity = 1-Absorptivity-Reflectivity
Mass of Particle Given Frequency and Speed of Light
Go Mass of Particle = [hP]*Frequency/([c]^2)
Energy of each Quanta
Go Energy of Each Quanta = [hP]*Frequency
Frequency given Speed of Light and Wavelength
Go Frequency = [c]/Wavelength
Wavelength Given Speed of Light and Frequency
Go Wavelength = [c]/Frequency
Radiation Temperature given Maximum Wavelength
Go Radiation Temperature = 2897.6/Maximum Wavelength
Maximum Wavelength at given Temperature
Go Maximum Wavelength = 2897.6/Radiation Temperature
Resistance in Radiation Heat Transfer when No Shield is Present and Equal Emissivities
Go Resistance = (2/Emissivity)-1
Reflectivity given Absorptivity for Blackbody
Go Reflectivity = 1-Absorptivity
Reflectivity given Emissivity for Blackbody
Go Reflectivity = 1-Emissivity

Area of Surface 1 given Area 2 and Radiation Shape Factor for Both Surfaces Formula

Surface Area of Body 1 = Surface Area of Body 2*(Radiation Shape Factor 21/Radiation Shape Factor 12)
A1 = A2*(F21/F12)

What is Radiation?

Radiation is energy that comes from a source and travels through space at the speed of light. This energy has an electric field and a magnetic field associated with it, and has wave-like properties. You could also call radiation “electromagnetic waves”.

What is Blackbody?

A black body is defined as the body which absorbs all the electromagnetic radiation (that is light) that strikes it irrespective of the angle of incidence and frequency of the radiation.

How to Calculate Area of Surface 1 given Area 2 and Radiation Shape Factor for Both Surfaces?

Area of Surface 1 given Area 2 and Radiation Shape Factor for Both Surfaces calculator uses Surface Area of Body 1 = Surface Area of Body 2*(Radiation Shape Factor 21/Radiation Shape Factor 12) to calculate the Surface Area of Body 1, The Area of Surface 1 given Area 2 and Radiation Shape Factor for Both Surfaces formula is defined as the product of surface area 2 into the ratio of shape factor 21 to the shape factor 12. Surface Area of Body 1 is denoted by A1 symbol.

How to calculate Area of Surface 1 given Area 2 and Radiation Shape Factor for Both Surfaces using this online calculator? To use this online calculator for Area of Surface 1 given Area 2 and Radiation Shape Factor for Both Surfaces, enter Surface Area of Body 2 (A2), Radiation Shape Factor 21 (F21) & Radiation Shape Factor 12 (F12) and hit the calculate button. Here is how the Area of Surface 1 given Area 2 and Radiation Shape Factor for Both Surfaces calculation can be explained with given input values -> 34.74576 = 50*(0.41/0.59).

FAQ

What is Area of Surface 1 given Area 2 and Radiation Shape Factor for Both Surfaces?
The Area of Surface 1 given Area 2 and Radiation Shape Factor for Both Surfaces formula is defined as the product of surface area 2 into the ratio of shape factor 21 to the shape factor 12 and is represented as A1 = A2*(F21/F12) or Surface Area of Body 1 = Surface Area of Body 2*(Radiation Shape Factor 21/Radiation Shape Factor 12). The Surface Area of Body 2 is the area of body 2 upon which the radiation takes place, Radiation Shape Factor 21 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 12 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 Area of Surface 1 given Area 2 and Radiation Shape Factor for Both Surfaces?
The Area of Surface 1 given Area 2 and Radiation Shape Factor for Both Surfaces formula is defined as the product of surface area 2 into the ratio of shape factor 21 to the shape factor 12 is calculated using Surface Area of Body 1 = Surface Area of Body 2*(Radiation Shape Factor 21/Radiation Shape Factor 12). To calculate Area of Surface 1 given Area 2 and Radiation Shape Factor for Both Surfaces, you need Surface Area of Body 2 (A2), Radiation Shape Factor 21 (F21) & Radiation Shape Factor 12 (F12). With our tool, you need to enter the respective value for Surface Area of Body 2, Radiation Shape Factor 21 & Radiation Shape Factor 12 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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