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]*A*(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 Kilogram Second^-3 Kelvin^-4
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: 10 Square Meter --> 10 Square Meter No Conversion Required
Temperature of Surface 1: 100 Kelvin --> 100 Kelvin No Conversion Required
Temperature of Surface 2: 150 Kelvin --> 150 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rth = 1/(ε*[Stefan-BoltZ]*A*(T1+T2)*(((T1)^2)*((T2)^2))) --> 1/(0.95*[Stefan-BoltZ]*10*(100+150)*(((100)^2)*((150)^2)))
Evaluating ... ...
Rth = 3.30021853830584E-05
STEP 3: Convert Result to Output's Unit
3.30021853830584E-05 Kelvin per Watt --> No Conversion Required
FINAL ANSWER
3.30021853830584E-05 Kelvin per Watt <-- Thermal Resistance
(Calculation completed in 00.016 seconds)

Credits

Created by Heet Vora
Thadomal Shahani Engineering College (Tsec), Mumbai
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National Institute of Technology (NIT), Meghalaya
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10+ Modes of Heat Transfer Calculators

Radiation Thermal Resistance
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))) Go
Thermal Resistance for Radial Heat Conduction Offered by a Cylinder Wall
Thermal Resistance = ln(Outer Radius/Inner Radius)/(2*pi*Thermal Conductivity*Length of Cylinder) Go
Thermal Resistance of a Spherical Wall
Thermal Resistance = (Radius 2-Radius 1)/(4*pi*Radius 1*Radius 2*Thermal Conductivity) Go
Heat Transfer Through Plane Wall or Surface
Heat Rate = -Thermal Conductivity*Original Cross-sectional Area*(Outside Temperature-Inside Temperature)/Width Go
Thermal Diffusivity
Thermal Diffusivity = Thermal Conductivity/(Density*Specific Heat Capacity) Go
Conduction Thermal Resistance in Slab
Thermal Resistance = Thickness/(Thermal Conductivity*Area) Go
Fourier's law of heat conduction
Heat Conduction = -(Thermal Conductivity*(Temperature Gradient)) Go
Thermal Resistance in Convection Heat Transfer
Thermal Resistance = 1/(Area*Heat Transfer Coefficient) Go
Temperature Difference using Thermal Analogy to Ohm's Law
Temperature Drop = Heat Flow Rate*Thermal Resistance Go
Ohm's Law
Voltage = Electric Current*Resistance Go

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]*A*(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 (A), 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 -> 3.300E-5 = 1/(0.95*[Stefan-BoltZ]*10*(100+150)*(((100)^2)*((150)^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]*A*(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 (A), 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 4 other way(s) to calculate the same, which is/are as follows -
  • Thermal Resistance = Thickness/(Thermal Conductivity*Area)
  • Thermal Resistance = ln(Outer Radius/Inner Radius)/(2*pi*Thermal Conductivity*Length of Cylinder)
  • Thermal Resistance = 1/(Area*Heat Transfer Coefficient)
  • Thermal Resistance = (Radius 2-Radius 1)/(4*pi*Radius 1*Radius 2*Thermal Conductivity)
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