Total Emissive Power of Radiating Body Calculator

✖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.ⓘ Emissivity [ε]			+10% -10%
✖Effective Radiating Temperature is the degree or intensity of heat present in a substance or object.ⓘ Effective Radiating Temperature [T_e]			+10% -10%

✖Emissive Power per Unit Area is the power transferred per unit area, where the area is measured on the plane perpendicular to the direction of propagation of the energy.ⓘ Total Emissive Power of Radiating Body [E_b]

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Formula

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Total Emissive Power of Radiating Body

Formula

`"E"_{"b"} = ("ε"*("T"_{"e"})^4)*"[Stefan-BoltZ]"`

Example

`"2.811969W"=("0.95"*("85K")^4)*"[Stefan-BoltZ]"`

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Total Emissive Power of Radiating Body Solution

STEP 0: Pre-Calculation Summary

Formula Used

Emissive Power per Unit Area = (Emissivity*(Effective Radiating Temperature)^4)*[Stefan-BoltZ]
E_b = (ε*(T_e)^4)*[Stefan-BoltZ]
This formula uses 1 Constants, 3 Variables

Constants Used

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

Variables Used

Emissive Power per Unit Area - (Measured in Watt) - Emissive Power per Unit Area is the power transferred per unit area, where the area is measured on the plane perpendicular to the direction of propagation of the energy.
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.
Effective Radiating Temperature - (Measured in Kelvin) - Effective Radiating Temperature is the degree or intensity of heat present in a substance or object.

STEP 1: Convert Input(s) to Base Unit

Emissivity: 0.95 --> No Conversion Required
Effective Radiating Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_b = (ε*(T_e)^4)*[Stefan-BoltZ] --> (0.95*(85)^4)*[Stefan-BoltZ]

Evaluating ... ...

E_b = 2.81196866310406

STEP 3: Convert Result to Output's Unit

2.81196866310406 Watt --> No Conversion Required

FINAL ANSWER

2.81196866310406 ≈ 2.811969 Watt <-- Emissive Power per Unit Area

(Calculation completed in 00.020 seconds)

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Created by Ishan Gupta

Birla Institute of Technology & Science (BITS), Pilani

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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

Total Emissive Power of Radiating Body Formula

Emissive Power per Unit Area = (Emissivity*(Effective Radiating Temperature)^4)*[Stefan-BoltZ]
E_b = (ε*(T_e)^4)*[Stefan-BoltZ]

Emmisive power of a body (Radiation)

Emmisive power of a body (Radiation) is the power transferred per unit area, where the area is measured on the plane perpendicular to the direction of propagation of the energy. In the SI system, it has units watts per square metre (W/m2).

How to Calculate Total Emissive Power of Radiating Body?

Total Emissive Power of Radiating Body calculator uses Emissive Power per Unit Area = (Emissivity*(Effective Radiating Temperature)^4)*[Stefan-BoltZ] to calculate the Emissive Power per Unit Area, The Total Emissive Power of Radiating Body is the power transferred per unit area, where the area is measured on the plane perpendicular to the direction of propagation of the energy. In the SI system, it has units watts per square meter (W/m2). Emissive Power per Unit Area is denoted by E_b symbol.

How to calculate Total Emissive Power of Radiating Body using this online calculator? To use this online calculator for Total Emissive Power of Radiating Body, enter Emissivity (ε) & Effective Radiating Temperature (T_e) and hit the calculate button. Here is how the Total Emissive Power of Radiating Body calculation can be explained with given input values -> 2.811969 = (0.95*(85)^4)*[Stefan-BoltZ].

FAQ

What is Total Emissive Power of Radiating Body?

The Total Emissive Power of Radiating Body is the power transferred per unit area, where the area is measured on the plane perpendicular to the direction of propagation of the energy. In the SI system, it has units watts per square meter (W/m2) and is represented as E_b = (ε*(T_e)^4)*[Stefan-BoltZ] or Emissive Power per Unit Area = (Emissivity*(Effective Radiating Temperature)^4)*[Stefan-BoltZ]. 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 & Effective Radiating Temperature is the degree or intensity of heat present in a substance or object.

How to calculate Total Emissive Power of Radiating Body?

The Total Emissive Power of Radiating Body is the power transferred per unit area, where the area is measured on the plane perpendicular to the direction of propagation of the energy. In the SI system, it has units watts per square meter (W/m2) is calculated using Emissive Power per Unit Area = (Emissivity*(Effective Radiating Temperature)^4)*[Stefan-BoltZ]. To calculate Total Emissive Power of Radiating Body, you need Emissivity (ε) & Effective Radiating Temperature (T_e). With our tool, you need to enter the respective value for Emissivity & Effective Radiating Temperature 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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