Heat Transfer between Two Infinite Parallel Planes given Temp and Emissivity of Both Surfaces Solution

STEP 0: Pre-Calculation Summary
Formula Used
Heat Transfer = (Area*[Stefan-BoltZ]*((Temperature of Surface 1^4)-(Temperature of Surface 2^4)))/ ((1/Emissivity of Body 1)+(1/Emissivity of Body 2)-1)
q = (A*[Stefan-BoltZ]*((T1^4)-(T2^4)))/ ((1/ε1)+(1/ε2)-1)
This formula uses 1 Constants, 6 Variables
Constants Used
[Stefan-BoltZ] - Stefan-Boltzmann Constant Value Taken As 5.670367E-8
Variables Used
Heat Transfer - (Measured in Watt) - Heat Transfer is the amount of heat that is transferred per unit of time in some material, usually measured in watts (joules per second).
Area - (Measured in Square Meter) - The area is the amount of two-dimensional space taken up by an object.
Temperature of Surface 1 - (Measured in Kelvin) - Temperature of Surface 1 is the temperature of the 1st surface.
Temperature of Surface 2 - (Measured in Kelvin) - Temperature of Surface 2 is the temperature of the 2nd surface.
Emissivity of Body 1 - The Emissivity of Body 1 is the ratio of the energy radiated from a body's surface to that radiated from a perfect emitter.
Emissivity of Body 2 - The Emissivity of Body 2 is the ratio of the energy radiated from a body's surface to that radiated from a perfect emitter.
STEP 1: Convert Input(s) to Base Unit
Area: 50.3 Square Meter --> 50.3 Square Meter No Conversion Required
Temperature of Surface 1: 202 Kelvin --> 202 Kelvin No Conversion Required
Temperature of Surface 2: 151 Kelvin --> 151 Kelvin No Conversion Required
Emissivity of Body 1: 0.4 --> No Conversion Required
Emissivity of Body 2: 0.3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
q = (A*[Stefan-BoltZ]*((T1^4)-(T2^4)))/ ((1/ε1)+(1/ε2)-1) --> (50.3*[Stefan-BoltZ]*((202^4)-(151^4)))/ ((1/0.4)+(1/0.3)-1)
Evaluating ... ...
q = 675.722755500347
STEP 3: Convert Result to Output's Unit
675.722755500347 Watt --> No Conversion Required
FINAL ANSWER
675.722755500347 675.7228 Watt <-- Heat Transfer
(Calculation completed in 00.004 seconds)

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10+ 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 Two Long Concentric Cylinder given Temp, Emissivity and Area of Both Surfaces
Go Heat Transfer = (([Stefan-BoltZ]*Surface Area of Body 1*((Temperature of Surface 1^4)-(Temperature of Surface 2^4))))/((1/Emissivity of Body 1)+((Surface Area of Body 1/Surface Area of Body 2)*((1/Emissivity of Body 2)-1)))
Radiation Heat Transfer between Plane 1 and Shield given Temperature and Emissivity of Both Surfaces
Go Heat Transfer = Area*[Stefan-BoltZ]*((Temperature of Plane 1^4)-(Temperature of Radiation Shield^4))/((1/Emissivity of Body 1)+(1/Emissivity of Radiation Shield)-1)
Radiation Heat Transfer between Plane 2 and Radiation Shield given Temperature and Emissivity
Go Heat Transfer = Area*[Stefan-BoltZ]*((Temperature of Radiation Shield^4)-(Temperature of Plane 2^4))/ ((1/Emissivity of Radiation Shield)+(1/Emissivity of Body 2)-1)
Heat Transfer between Two Infinite Parallel Planes given Temp and Emissivity of Both Surfaces
Go Heat Transfer = (Area*[Stefan-BoltZ]*((Temperature of Surface 1^4)-(Temperature of Surface 2^4)))/ ((1/Emissivity of Body 1)+(1/Emissivity of Body 2)-1)
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))
Net Heat Exchange given Area 1 and Shape Factor 12
Go Net Heat Transfer = Surface Area of Body 1*Radiation Shape Factor 12*(Emissive Power of 1st Blackbody-Emissive Power of 2nd Blackbody)
Net Heat Exchange given Area 2 and Shape Factor 21
Go Net Heat Transfer = Surface Area of Body 2*Radiation Shape Factor 21*(Emissive Power of 1st Blackbody-Emissive Power of 2nd Blackbody)
Net Heat Exchange between Two Surfaces given Radiosity for Both Surface
Go Radiation Heat Transfer = (Radiosity of 1st Body-Radiosity of 2nd Body)/(1/(Surface Area of Body 1*Radiation Shape Factor 12))
Net Heat Transfer from Surface given Emissivity, Radiosity and Emissive Power
Go Heat Transfer = (((Emissivity*Area)*(Emissive Power of Blackbody-Radiosity))/(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

Heat Transfer between Two Infinite Parallel Planes given Temp and Emissivity of Both Surfaces Formula

Heat Transfer = (Area*[Stefan-BoltZ]*((Temperature of Surface 1^4)-(Temperature of Surface 2^4)))/ ((1/Emissivity of Body 1)+(1/Emissivity of Body 2)-1)
q = (A*[Stefan-BoltZ]*((T1^4)-(T2^4)))/ ((1/ε1)+(1/ε2)-1)

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 Emissivity?

Emissivity is defined as the ratio of the energy radiated from a material's surface to that radiated from a perfect emitter, known as a blackbody, at the same temperature and wavelength and under the same viewing conditions. It is a dimensionless number between 0 (for a perfect reflector) and 1 (for a perfect emitter).

How to Calculate Heat Transfer between Two Infinite Parallel Planes given Temp and Emissivity of Both Surfaces?

Heat Transfer between Two Infinite Parallel Planes given Temp and Emissivity of Both Surfaces calculator uses Heat Transfer = (Area*[Stefan-BoltZ]*((Temperature of Surface 1^4)-(Temperature of Surface 2^4)))/ ((1/Emissivity of Body 1)+(1/Emissivity of Body 2)-1) to calculate the Heat Transfer, The Heat Transfer between Two Infinite Parallel Planes given Temp and Emissivity of Both Surfaces formula is defined as the function of area of heat transfer, temperature of both the bodies, emissivity of both the bodies. Heat Transfer is denoted by q symbol.

How to calculate Heat Transfer between Two Infinite Parallel Planes given Temp and Emissivity of Both Surfaces using this online calculator? To use this online calculator for Heat Transfer between Two Infinite Parallel Planes given Temp and Emissivity of Both Surfaces, enter Area (A), Temperature of Surface 1 (T1), Temperature of Surface 2 (T2), Emissivity of Body 1 1) & Emissivity of Body 2 2) and hit the calculate button. Here is how the Heat Transfer between Two Infinite Parallel Planes given Temp and Emissivity of Both Surfaces calculation can be explained with given input values -> 675.7228 = (50.3*[Stefan-BoltZ]*((202^4)-(151^4)))/ ((1/0.4)+(1/0.3)-1).

FAQ

What is Heat Transfer between Two Infinite Parallel Planes given Temp and Emissivity of Both Surfaces?
The Heat Transfer between Two Infinite Parallel Planes given Temp and Emissivity of Both Surfaces formula is defined as the function of area of heat transfer, temperature of both the bodies, emissivity of both the bodies and is represented as q = (A*[Stefan-BoltZ]*((T1^4)-(T2^4)))/ ((1/ε1)+(1/ε2)-1) or Heat Transfer = (Area*[Stefan-BoltZ]*((Temperature of Surface 1^4)-(Temperature of Surface 2^4)))/ ((1/Emissivity of Body 1)+(1/Emissivity of Body 2)-1). The area is the amount of two-dimensional space taken up by an object, Temperature of Surface 1 is the temperature of the 1st surface, Temperature of Surface 2 is the temperature of the 2nd surface, The Emissivity of Body 1 is the ratio of the energy radiated from a body's surface to that radiated from a perfect emitter & The Emissivity of Body 2 is the ratio of the energy radiated from a body's surface to that radiated from a perfect emitter.
How to calculate Heat Transfer between Two Infinite Parallel Planes given Temp and Emissivity of Both Surfaces?
The Heat Transfer between Two Infinite Parallel Planes given Temp and Emissivity of Both Surfaces formula is defined as the function of area of heat transfer, temperature of both the bodies, emissivity of both the bodies is calculated using Heat Transfer = (Area*[Stefan-BoltZ]*((Temperature of Surface 1^4)-(Temperature of Surface 2^4)))/ ((1/Emissivity of Body 1)+(1/Emissivity of Body 2)-1). To calculate Heat Transfer between Two Infinite Parallel Planes given Temp and Emissivity of Both Surfaces, you need Area (A), Temperature of Surface 1 (T1), Temperature of Surface 2 (T2), Emissivity of Body 1 1) & Emissivity of Body 2 2). With our tool, you need to enter the respective value for Area, Temperature of Surface 1, Temperature of Surface 2, Emissivity of Body 1 & Emissivity of Body 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 Transfer?
In this formula, Heat Transfer uses Area, Temperature of Surface 1, Temperature of Surface 2, Emissivity of Body 1 & Emissivity of Body 2. We can use 13 other way(s) to calculate the same, which is/are as follows -
  • Heat Transfer = (((Emissivity*Area)*(Emissive Power of Blackbody-Radiosity))/(1-Emissivity))
  • Heat Transfer = (([Stefan-BoltZ]*Surface Area of Body 1*((Temperature of Surface 1^4)-(Temperature of Surface 2^4))))/((1/Emissivity of Body 1)+((Surface Area of Body 1/Surface Area of Body 2)*((1/Emissivity of Body 2)-1)))
  • Heat Transfer = Surface Area of Body 1*Emissivity of Body 1*[Stefan-BoltZ]*((Temperature of Surface 1^4)-(Temperature of Surface 2^4))
  • 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 = Area*[Stefan-BoltZ]*((Temperature of Plane 1^4)-(Temperature of Radiation Shield^4))/((1/Emissivity of Body 1)+(1/Emissivity of Radiation Shield)-1)
  • Heat Transfer = Area*[Stefan-BoltZ]*((Temperature of Radiation Shield^4)-(Temperature of Plane 2^4))/ ((1/Emissivity of Radiation Shield)+(1/Emissivity of Body 2)-1)
  • Heat Transfer = Area*(Radiosity-Irradiation)
  • 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 = Surface Area of Body 1*Emissivity of Body 1*[Stefan-BoltZ]*((Temperature of Surface 1^4)-(Temperature of Surface 2^4))
  • Heat Transfer = (([Stefan-BoltZ]*Surface Area of Body 1*((Temperature of Surface 1^4)-(Temperature of Surface 2^4))))/((1/Emissivity of Body 1)+((Surface Area of Body 1/Surface Area of Body 2)*((1/Emissivity of Body 2)-1)))
  • Heat Transfer = (((Emissivity*Area)*(Emissive Power of Blackbody-Radiosity))/(1-Emissivity))
  • Heat Transfer = Area*[Stefan-BoltZ]*((Temperature of Plane 1^4)-(Temperature of Radiation Shield^4))/((1/Emissivity of Body 1)+(1/Emissivity of Radiation Shield)-1)
  • Heat Transfer = Area*[Stefan-BoltZ]*((Temperature of Radiation Shield^4)-(Temperature of Plane 2^4))/ ((1/Emissivity of Radiation Shield)+(1/Emissivity of Body 2)-1)
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