Transmissivity of Transparent Medium given Radiosity and Shape Factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Transmissivity of Transparent Medium = Radiation Heat Transfer/(Surface Area of Body 1*Radiation Shape Factor 12*(Radiosity of 1st Body-Radiosity of 2nd Body))
𝜏m = q1-2 transmistted/(A1*F12*(J1-J2))
This formula uses 6 Variables
Variables Used
Transmissivity of Transparent Medium - Transmissivity of Transparent Medium is the fraction of incident radiation flux transmitted through the medium.
Radiation Heat Transfer - (Measured in Watt) - Radiation Heat Transfer is the amount of heat that is transferred per unit of time in some material, usually measured in watts (joules per second).
Surface Area of Body 1 - (Measured in Square Meter) - The Surface Area of Body 1 is the area of body 1 through which the radiation takes place.
Radiation Shape Factor 12 - Radiation Shape Factor 12 is the fraction of radiation energy radiated by one surface which is incident on another surface when both surfaces are placed in a non-absorbing medium.
Radiosity of 1st Body - (Measured in Watt per Square Meter) - Radiosity of 1st Body represents the rate at which radiation energy leaves a unit area of a surface in all directions.
Radiosity of 2nd Body - (Measured in Watt per Square Meter) - Radiosity of 2nd Body represents the rate at which radiation energy leaves a unit area of a surface in all directions.
STEP 1: Convert Input(s) to Base Unit
Radiation Heat Transfer: 460 Watt --> 460 Watt No Conversion Required
Surface Area of Body 1: 100 Square Meter --> 100 Square Meter No Conversion Required
Radiation Shape Factor 12: 0.59 --> No Conversion Required
Radiosity of 1st Body: 61 Watt per Square Meter --> 61 Watt per Square Meter No Conversion Required
Radiosity of 2nd Body: 49 Watt per Square Meter --> 49 Watt per Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝜏m = q1-2 transmistted/(A1*F12*(J1-J2)) --> 460/(100*0.59*(61-49))
Evaluating ... ...
𝜏m = 0.649717514124294
STEP 3: Convert Result to Output's Unit
0.649717514124294 --> No Conversion Required
FINAL ANSWER
0.649717514124294 0.649718 <-- Transmissivity of Transparent Medium
(Calculation completed in 00.020 seconds)

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University School of Chemical Technology-USCT (GGSIPU), New Delhi
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Radiation System consisting of Transmitting and Absorbing Medium between Two Planes. Calculators

Net Heat Exchange in Transmission Process
​ LaTeX ​ 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)
Energy Leaving Surface 1 that is Transmitted through Medium
​ LaTeX ​ Go Energy Leaving Surface = Radiosity of 1st Body*Surface Area of Body 1*Radiation Shape Factor 12*Transmissivity of Transparent Medium
Energy Emitted by Medium
​ LaTeX ​ Go Radiosity for Transparent Medium = Emissivity of Medium*Emissive Power of Blackbody through Medium
Emissive Power of Blackbody through Medium
​ LaTeX ​ Go Emissive Power of Blackbody through Medium = [Stefan-BoltZ]*(Temperature of Medium^4)

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

Initial Radiation Intensity
​ LaTeX ​ Go Initial Radiation Intensity = Radiation Intensity at Distance x/exp(-(Monochromatic Absorption Coefficient*Distance))
Monochromatic Transmissivity
​ LaTeX ​ Go Monochromatic Transmissivity = exp(-(Monochromatic Absorption Coefficient*Distance))
Monochromatic Absorption Coefficient if Gas is Non-Reflecting
​ LaTeX ​ Go Monochromatic Absorption Coefficient = 1-Monochromatic Transmissivity
Monochromatic Transmissivity if Gas is Non Reflecting
​ LaTeX ​ Go Monochromatic Transmissivity = 1-Monochromatic Absorption Coefficient

Transmissivity of Transparent Medium given Radiosity and Shape Factor Formula

​LaTeX ​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))
𝜏m = q1-2 transmistted/(A1*F12*(J1-J2))

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 Transmissivity of Transparent Medium given Radiosity and Shape Factor?

Transmissivity of Transparent Medium given Radiosity and Shape Factor calculator uses Transmissivity of Transparent Medium = Radiation Heat Transfer/(Surface Area of Body 1*Radiation Shape Factor 12*(Radiosity of 1st Body-Radiosity of 2nd Body)) to calculate the Transmissivity of Transparent Medium, The Transmissivity of Transparent Medium given Radiosity and Shape Factor. formula is defined as the function of surface area, radiation shape factor, transmissivity and difference of radiosity of both the bodies. Radiation heat transfer occurs via electromagnetic waves. Unlike conduction and convection, radiation does not need a medium for transmission. Transmissivity of Transparent Medium is denoted by 𝜏m symbol.

How to calculate Transmissivity of Transparent Medium given Radiosity and Shape Factor using this online calculator? To use this online calculator for Transmissivity of Transparent Medium given Radiosity and Shape Factor, enter Radiation Heat Transfer (q1-2 transmistted), Surface Area of Body 1 (A1), Radiation Shape Factor 12 (F12), Radiosity of 1st Body (J1) & Radiosity of 2nd Body (J2) and hit the calculate button. Here is how the Transmissivity of Transparent Medium given Radiosity and Shape Factor calculation can be explained with given input values -> 0.649718 = 460/(100*0.59*(61-49)).

FAQ

What is Transmissivity of Transparent Medium given Radiosity and Shape Factor?
The Transmissivity of Transparent Medium given Radiosity and Shape Factor. formula is defined as the function of surface area, radiation shape factor, transmissivity and difference of radiosity of both the bodies. Radiation heat transfer occurs via electromagnetic waves. Unlike conduction and convection, radiation does not need a medium for transmission and is represented as 𝜏m = q1-2 transmistted/(A1*F12*(J1-J2)) or Transmissivity of Transparent Medium = Radiation Heat Transfer/(Surface Area of Body 1*Radiation Shape Factor 12*(Radiosity of 1st Body-Radiosity of 2nd Body)). Radiation Heat Transfer is the amount of heat that is transferred per unit of time in some material, usually measured in watts (joules per second), The Surface Area of Body 1 is the area of body 1 through which the radiation takes place, Radiation Shape Factor 12 is the fraction of radiation energy radiated by one surface which is incident on another surface when both surfaces are placed in a non-absorbing medium, Radiosity of 1st Body represents the rate at which radiation energy leaves a unit area of a surface in all directions & Radiosity of 2nd Body represents the rate at which radiation energy leaves a unit area of a surface in all directions.
How to calculate Transmissivity of Transparent Medium given Radiosity and Shape Factor?
The Transmissivity of Transparent Medium given Radiosity and Shape Factor. formula is defined as the function of surface area, radiation shape factor, transmissivity and difference of radiosity of both the bodies. Radiation heat transfer occurs via electromagnetic waves. Unlike conduction and convection, radiation does not need a medium for transmission is calculated using Transmissivity of Transparent Medium = Radiation Heat Transfer/(Surface Area of Body 1*Radiation Shape Factor 12*(Radiosity of 1st Body-Radiosity of 2nd Body)). To calculate Transmissivity of Transparent Medium given Radiosity and Shape Factor, you need Radiation Heat Transfer (q1-2 transmistted), Surface Area of Body 1 (A1), Radiation Shape Factor 12 (F12), Radiosity of 1st Body (J1) & Radiosity of 2nd Body (J2). With our tool, you need to enter the respective value for Radiation Heat Transfer, Surface Area of Body 1, Radiation Shape Factor 12, Radiosity of 1st Body & Radiosity of 2nd Body 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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