Radiation Thermal Resistance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Thermal Resistance = 1/(Emissivity*[Stefan-BoltZ]*Base Area*(Temperature of Surface 1+Temperature of Surface 2)*(((Temperature of Surface 1)^2)+((Temperature of Surface 2)^2)))
Rth = 1/(ε*[Stefan-BoltZ]*Abase*(T1+T2)*(((T1)^2)+((T2)^2)))
This formula uses 1 Constants, 5 Variables
Constants Used
[Stefan-BoltZ] - Stefan-Boltzmann Constant Value Taken As 5.670367E-8
Variables Used
Thermal Resistance - (Measured in Kelvin per Watt) - Thermal resistance is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow.
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.
Base Area - (Measured in Square Meter) - The Base Area refers to the area of one of the bases of a solid figure.
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.
STEP 1: Convert Input(s) to Base Unit
Emissivity: 0.95 --> No Conversion Required
Base Area: 9 Square Meter --> 9 Square Meter No Conversion Required
Temperature of Surface 1: 503 Kelvin --> 503 Kelvin No Conversion Required
Temperature of Surface 2: 293 Kelvin --> 293 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rth = 1/(ε*[Stefan-BoltZ]*Abase*(T1+T2)*(((T1)^2)+((T2)^2))) --> 1/(0.95*[Stefan-BoltZ]*9*(503+293)*(((503)^2)+((293)^2)))
Evaluating ... ...
Rth = 0.00764701436299724
STEP 3: Convert Result to Output's Unit
0.00764701436299724 Kelvin per Watt --> No Conversion Required
FINAL ANSWER
0.00764701436299724 0.007647 Kelvin per Watt <-- Thermal Resistance
(Calculation completed in 00.004 seconds)

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13 Basics of Modes of Heat Transfer Calculators

Thermal Resistance of Spherical Wall
Go Thermal Resistance of Sphere Without Convection = (Radius of 2nd Concentric Sphere-Radius of 1st Concentric Sphere)/(4*pi*Thermal Conductivity*Radius of 1st Concentric Sphere*Radius of 2nd Concentric Sphere)
Radiation Thermal Resistance
Go Thermal Resistance = 1/(Emissivity*[Stefan-BoltZ]*Base Area*(Temperature of Surface 1+Temperature of Surface 2)*(((Temperature of Surface 1)^2)+((Temperature of Surface 2)^2)))
Radial Heat Flowing through Cylinder
Go Heat = Thermal Conductivity*2*pi*Temperature Difference*Length of Cylinder/(ln(Outer Radius of Cylinder/Inner Radius of Cylinder))
Heat Transfer through Plane Wall or Surface
Go Heat Flow Rate = -Thermal Conductivity*Cross Sectional Area*(Outside Temperature-Inside Temperature)/Width of Plane Surface
Radiative Heat Transfer
Go Heat = [Stefan-BoltZ]*Body Surface Area*Geometric View Factor*(Temperature of Surface 1^4-Temperature of Surface 2^4)
Rate of Convective Heat Transfer
Go Heat Flow Rate = Heat Transfer Coefficient*Exposed Surface Area*(Surface Temperature-Ambient Air Temperature)
Total Emissive Power of Radiating Body
Go Emissive Power per Unit Area = (Emissivity*(Effective Radiating Temperature)^4)*[Stefan-BoltZ]
Thermal Diffusivity
Go Thermal Diffusivity = Thermal Conductivity/(Density*Specific Heat Capacity)
Radiosity
Go Radiosity = Energy Leaving Surface/(Body Surface Area*Time in seconds)
Thermal Resistance in Convection Heat Transfer
Go Thermal Resistance = 1/(Exposed Surface Area*Co-efficient of Convective Heat Transfer)
Overall Heat Transfer based on Thermal Resistance
Go Overall Heat Transfer = Overall Temperature Difference/Total Thermal Resistance
Temperature Difference using Thermal Analogy to Ohm's Law
Go Temperature Difference = Heat Flow Rate*Thermal Resistance
Ohm's Law
Go Voltage = Electric Current*Resistance

Radiation Thermal Resistance Formula

Thermal Resistance = 1/(Emissivity*[Stefan-BoltZ]*Base Area*(Temperature of Surface 1+Temperature of Surface 2)*(((Temperature of Surface 1)^2)+((Temperature of Surface 2)^2)))
Rth = 1/(ε*[Stefan-BoltZ]*Abase*(T1+T2)*(((T1)^2)+((T2)^2)))

What is Thermal resistance for heat radiation?

The heat radiation occurs by a different mechanism from the
thermal conduction or convection (heat transmission) where
heat is transferred via molecules. Through the heat radiation,
heat can be transferred in a vacuum where no object or fluid
exists.

How to Calculate Radiation Thermal Resistance?

Radiation Thermal Resistance calculator uses Thermal Resistance = 1/(Emissivity*[Stefan-BoltZ]*Base Area*(Temperature of Surface 1+Temperature of Surface 2)*(((Temperature of Surface 1)^2)+((Temperature of Surface 2)^2))) to calculate the Thermal Resistance, Radiation Thermal Resistance is represented as the reciprocal of the product of the radiative heat transfer coefficient and the surface area of the object that generates heat. Thermal Resistance is denoted by Rth symbol.

How to calculate Radiation Thermal Resistance using this online calculator? To use this online calculator for Radiation Thermal Resistance, enter Emissivity (ε), Base Area (Abase), Temperature of Surface 1 (T1) & Temperature of Surface 2 (T2) and hit the calculate button. Here is how the Radiation Thermal Resistance calculation can be explained with given input values -> 0.007647 = 1/(0.95*[Stefan-BoltZ]*9*(503+293)*(((503)^2)+((293)^2))).

FAQ

What is Radiation Thermal Resistance?
Radiation Thermal Resistance is represented as the reciprocal of the product of the radiative heat transfer coefficient and the surface area of the object that generates heat and is represented as Rth = 1/(ε*[Stefan-BoltZ]*Abase*(T1+T2)*(((T1)^2)+((T2)^2))) or Thermal Resistance = 1/(Emissivity*[Stefan-BoltZ]*Base Area*(Temperature of Surface 1+Temperature of Surface 2)*(((Temperature of Surface 1)^2)+((Temperature of Surface 2)^2))). 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, The Base Area refers to the area of one of the bases of a solid figure, Temperature of Surface 1 is the temperature of the 1st surface & Temperature of Surface 2 is the temperature of the 2nd surface.
How to calculate Radiation Thermal Resistance?
Radiation Thermal Resistance is represented as the reciprocal of the product of the radiative heat transfer coefficient and the surface area of the object that generates heat is calculated using Thermal Resistance = 1/(Emissivity*[Stefan-BoltZ]*Base Area*(Temperature of Surface 1+Temperature of Surface 2)*(((Temperature of Surface 1)^2)+((Temperature of Surface 2)^2))). To calculate Radiation Thermal Resistance, you need Emissivity (ε), Base Area (Abase), Temperature of Surface 1 (T1) & Temperature of Surface 2 (T2). With our tool, you need to enter the respective value for Emissivity, Base Area, 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 Thermal Resistance?
In this formula, Thermal Resistance uses Emissivity, Base Area, Temperature of Surface 1 & Temperature of Surface 2. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Thermal Resistance = 1/(Exposed Surface Area*Co-efficient of Convective Heat Transfer)
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