Transmissivity of Transparent Medium given Radiosity and Shape Factor Calculator

✖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).ⓘ Radiation Heat Transfer [q_{1-2 transmistted}]			+10% -10%
✖The Surface Area of Body 1 is the area of body 1 through which the radiation takes place.ⓘ Surface Area of Body 1 [A₁]			+10% -10%
✖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.ⓘ Radiation Shape Factor 12 [F₁₂]			+10% -10%
✖Radiosity of 1st Body represents the rate at which radiation energy leaves a unit area of a surface in all directions.ⓘ Radiosity of 1st Body [J₁]			+10% -10%
✖Radiosity of 2nd Body represents the rate at which radiation energy leaves a unit area of a surface in all directions.ⓘ Radiosity of 2nd Body [J₂]			+10% -10%

✖Transmissivity of Transparent Medium is the fraction of incident radiation flux transmitted through the medium.ⓘ Transmissivity of Transparent Medium given Radiosity and Shape Factor [𝜏_m]

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Transmissivity of Transparent Medium given Radiosity and Shape Factor

Formula

`"𝜏"_{"m"} = "q"_{"1-2 transmistted"}/("A"_{"1"}*"F"_{"12"}*("J"_{"1"}-"J"_{"2"}))`

Example

`"0.649718"="460W"/("100m²"*"0.59"*("61W/m²"-"49W/m²"))`

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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))
𝜏_m = q_{1-2 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

𝜏_m = q_{1-2 transmistted}/(A₁*F₁₂*(J₁-J₂)) --> 460/(100*0.59*(61-49))

Evaluating ... ...

𝜏_m = 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 00.004 seconds)

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University School of Chemical Technology-USCT (GGSIPU), New Delhi

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< 8 Radiation System consisting of Transmitting and Absorbing Medium between Two Planes. Calculators

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)

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

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

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)

< 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

Temperature of Medium given Emissive Power of Blackbody

Go Temperature of Medium = (Emissive Power of Blackbody through Medium/[Stefan-BoltZ])^(1/4)

Transmissivity given Specular and Diffuse Component

Go Transmissivity = (Specular Component of Transmissivity+Diffuse Component of Transmissivity)

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

Transmissivity of Transparent Medium given Radiosity and Shape Factor Formula

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 𝜏_m 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 (q_{1-2 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 𝜏_m = q_{1-2 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 (q_{1-2 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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