Diffuse Radiosity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diffuse Radiosity = ((Emissivity*Emissive Power of Blackbody)+(Diffuse Component of Reflectivity*Irradiation))
JD = ((ε*Eb)+(ρD*G))
This formula uses 5 Variables
Variables Used
Diffuse Radiosity - (Measured in Watt per Square Meter) - Diffuse Radiosity represents the rate at which radiation energy leaves a unit area of a surface in all directions.
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.
Emissive Power of Blackbody - (Measured in Watt per Square Meter) - Emissive Power of Blackbody is the energy of thermal radiation emitted in all directions per unit time from each unit area of a surface of blackbody at any given temperature.
Diffuse Component of Reflectivity - Diffuse Component of Reflectivity is the reflection off rough surfaces such as clothing, paper, and the asphalt roadway.
Irradiation - (Measured in Watt per Square Meter) - Irradiation is the radiation flux incident on a surface from all directions.
STEP 1: Convert Input(s) to Base Unit
Emissivity: 0.95 --> No Conversion Required
Emissive Power of Blackbody: 700 Watt per Square Meter --> 700 Watt per Square Meter No Conversion Required
Diffuse Component of Reflectivity: 0.5 --> No Conversion Required
Irradiation: 0.8 Watt per Square Meter --> 0.8 Watt per Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
JD = ((ε*Eb)+(ρD*G)) --> ((0.95*700)+(0.5*0.8))
Evaluating ... ...
JD = 665.4
STEP 3: Convert Result to Output's Unit
665.4 Watt per Square Meter --> No Conversion Required
FINAL ANSWER
665.4 Watt per Square Meter <-- Diffuse Radiosity
(Calculation completed in 00.020 seconds)

Credits

Created by Ayush gupta
University School of Chemical Technology-USCT (GGSIPU), New Delhi
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8 Radiation Exchange with Specular Surfaces Calculators

Net Heat Lost by Surface given Diffuse Radiosity
Go Heat Transfer = ((Emissivity*Area)/(Diffuse Component of Reflectivity))*((Emissive Power of Blackbody*(Emissivity+Diffuse Component of Reflectivity))-Diffuse Radiosity)
Diffuse Radiation Exchange from Surface 1 to Surface 2
Go Heat Transfer from Surface 1 to 2 = (Diffuse Radiosity for Surface 1*Surface Area of Body 1*Radiation Shape Factor 12)*(1-Specular Component of Reflectivity of Surface 2)
Diffuse Radiation Exchange from Surface 2 to Surface 1
Go Heat Transfer from Surface 2 to 1 = Diffuse Radiosity for Surface 2*Surface Area of Body 2*Radiation Shape Factor 21*(1-Specular Component of Reflectivity of Surface 1)
Net Heat Lost by Surface
Go Heat Transfer = Area*((Emissivity*Emissive Power of Blackbody)-(Absorptivity*Irradiation))
Diffuse Radiosity
Go Diffuse Radiosity = ((Emissivity*Emissive Power of Blackbody)+(Diffuse Component of Reflectivity*Irradiation))
Direct Diffuse Radiation from Surface 2 to Surface 1
Go Heat Transfer from Surface 2 to 1 = Surface Area of Body 2*Radiation Shape Factor 21*Radiosity of 2nd Body
Transmissivity given Specular and Diffuse Component
Go Transmissivity = (Specular Component of Transmissivity +Diffuse Component of Transmissivity)
Reflectivity given Specular and Diffuse Component
Go Reflectivity = Specular Component of Reflectivity+Diffuse Component of Reflectivity

21 Important Formulas in Gas Radiation, Radiation Exchange with Specular Surfaces & more Special Cases Calculators

Net Heat Lost by Surface given Diffuse Radiosity
Go Heat Transfer = ((Emissivity*Area)/(Diffuse Component of Reflectivity))*((Emissive Power of Blackbody*(Emissivity+Diffuse Component of Reflectivity))-Diffuse Radiosity)
Transmissivity of Transparent Medium given Radiosity and Shape Factor
Go Transmissivity of Transparent Medium = Radiation Heat Transfer/(Surface Area of Body 1*Radiation Shape Factor 12*(Radiosity of 1st Body-Radiosity of 2nd Body))
Net Heat Exchange in Transmission Process
Go Radiation Heat Transfer = Surface Area of Body 1*Radiation Shape Factor 12*Transmissivity of Transparent Medium*(Radiosity of 1st Body-Radiosity of 2nd Body)
Diffuse Radiation Exchange from Surface 1 to Surface 2
Go Heat Transfer from Surface 1 to 2 = (Diffuse Radiosity for Surface 1*Surface Area of Body 1*Radiation Shape Factor 12)*(1-Specular Component of Reflectivity of Surface 2)
Diffuse Radiation Exchange from Surface 2 to Surface 1
Go Heat Transfer from Surface 2 to 1 = Diffuse Radiosity for Surface 2*Surface Area of Body 2*Radiation Shape Factor 21*(1-Specular Component of Reflectivity of Surface 1)
Energy Leaving Surface 1 that is Transmitted through Medium
Go Energy Leaving Surface = Radiosity of 1st Body*Surface Area of Body 1*Radiation Shape Factor 12*Transmissivity of Transparent Medium
Net Heat Lost by Surface
Go Heat Transfer = Area*((Emissivity*Emissive Power of Blackbody)-(Absorptivity*Irradiation))
Radiation Intensity at given Distance using Beer's Law
Go Radiation Intensity at Distance x = Initial Radiation Intensity*exp(-(Monochromatic Absorption Coefficient*Distance))
Initial Radiation Intensity
Go Initial Radiation Intensity = Radiation Intensity at Distance x/exp(-(Monochromatic Absorption Coefficient*Distance))
Diffuse Radiosity
Go Diffuse Radiosity = ((Emissivity*Emissive Power of Blackbody)+(Diffuse Component of Reflectivity*Irradiation))
Direct Diffuse Radiation from Surface 2 to Surface 1
Go Heat Transfer from Surface 2 to 1 = Surface Area of Body 2*Radiation Shape Factor 21*Radiosity of 2nd Body
Monochromatic Transmissivity
Go Monochromatic Transmissivity = exp(-(Monochromatic Absorption Coefficient*Distance))
Emissive Power of Blackbody through Medium given Emissivity of Medium
Go Emissive Power of Blackbody through Medium = Radiosity for Transparent Medium/Emissivity of Medium
Emissivity of Medium given Emissive Power of Blackbody through Medium
Go Emissivity of Medium = Radiosity for Transparent Medium/Emissive Power of Blackbody through Medium
Energy Emitted by Medium
Go Radiosity for Transparent Medium = Emissivity of Medium*Emissive Power of Blackbody through Medium
Transmissivity given Specular and Diffuse Component
Go Transmissivity = (Specular Component of Transmissivity +Diffuse Component of Transmissivity)
Temperature of Medium given Emissive Power of Blackbody
Go Temperature of Medium = (Emissive Power of Blackbody through Medium/[Stefan-BoltZ])^(1/4)
Emissive Power of Blackbody through Medium
Go Emissive Power of Blackbody through Medium = [Stefan-BoltZ]*(Temperature of Medium^4)
Reflectivity given Specular and Diffuse Component
Go Reflectivity = Specular Component of Reflectivity+Diffuse Component of Reflectivity
Monochromatic Absorption Coefficient if Gas is Non-Reflecting
Go Monochromatic Absorption Coefficient = 1-Monochromatic Transmissivity
Monochromatic Transmissivity if Gas is Non Reflecting
Go Monochromatic Transmissivity = 1-Monochromatic Absorption Coefficient

Diffuse Radiosity Formula

Diffuse Radiosity = ((Emissivity*Emissive Power of Blackbody)+(Diffuse Component of Reflectivity*Irradiation))
JD = ((ε*Eb)+(ρD*G))

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 Reflectivity?

A measure of the ability of a surface to reflect radiation, equal to the reflectance of a layer of material sufficiently thick for the reflectance not to depend on the thickness.

How to Calculate Diffuse Radiosity?

Diffuse Radiosity calculator uses Diffuse Radiosity = ((Emissivity*Emissive Power of Blackbody)+(Diffuse Component of Reflectivity*Irradiation)) to calculate the Diffuse Radiosity, The Diffuse Radiosity formula is defined as the function of Emissivity, emissive power of blackbody, Diffuse Component of reflectivity and irradiation. Reflection off of smooth surfaces such as mirrors or a calm body of water leads to a type of reflection known as specular reflection. Reflection off of rough surfaces such as clothing, paper, and the asphalt roadway leads to a type of reflection known as diffuse reflection. Whether the surface is microscopically rough or smooth has a tremendous impact upon the subsequent reflection of a beam of light. Diffuse Radiosity is denoted by JD symbol.

How to calculate Diffuse Radiosity using this online calculator? To use this online calculator for Diffuse Radiosity, enter Emissivity (ε), Emissive Power of Blackbody (Eb), Diffuse Component of Reflectivity D) & Irradiation (G) and hit the calculate button. Here is how the Diffuse Radiosity calculation can be explained with given input values -> 665.4 = ((0.95*700)+(0.5*0.8)).

FAQ

What is Diffuse Radiosity?
The Diffuse Radiosity formula is defined as the function of Emissivity, emissive power of blackbody, Diffuse Component of reflectivity and irradiation. Reflection off of smooth surfaces such as mirrors or a calm body of water leads to a type of reflection known as specular reflection. Reflection off of rough surfaces such as clothing, paper, and the asphalt roadway leads to a type of reflection known as diffuse reflection. Whether the surface is microscopically rough or smooth has a tremendous impact upon the subsequent reflection of a beam of light and is represented as JD = ((ε*Eb)+(ρD*G)) or Diffuse Radiosity = ((Emissivity*Emissive Power of Blackbody)+(Diffuse Component of Reflectivity*Irradiation)). 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, Emissive Power of Blackbody is the energy of thermal radiation emitted in all directions per unit time from each unit area of a surface of blackbody at any given temperature, Diffuse Component of Reflectivity is the reflection off rough surfaces such as clothing, paper, and the asphalt roadway & Irradiation is the radiation flux incident on a surface from all directions.
How to calculate Diffuse Radiosity?
The Diffuse Radiosity formula is defined as the function of Emissivity, emissive power of blackbody, Diffuse Component of reflectivity and irradiation. Reflection off of smooth surfaces such as mirrors or a calm body of water leads to a type of reflection known as specular reflection. Reflection off of rough surfaces such as clothing, paper, and the asphalt roadway leads to a type of reflection known as diffuse reflection. Whether the surface is microscopically rough or smooth has a tremendous impact upon the subsequent reflection of a beam of light is calculated using Diffuse Radiosity = ((Emissivity*Emissive Power of Blackbody)+(Diffuse Component of Reflectivity*Irradiation)). To calculate Diffuse Radiosity, you need Emissivity (ε), Emissive Power of Blackbody (Eb), Diffuse Component of Reflectivity D) & Irradiation (G). With our tool, you need to enter the respective value for Emissivity, Emissive Power of Blackbody, Diffuse Component of Reflectivity & Irradiation 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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