Interchange factor for large body enclosed by another body Calculator

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Convective Mass Transfer

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Interchange Factor between Surfaces

Absorptivity, Reflectivity and Transmissivity

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Kirchhoff's Law

✖The Emissivity of Body 1 is the ratio of the energy radiated from a body's surface to that radiated from a perfect emitter.ⓘ Emissivity of Body 1 [ε₁]			+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%
✖The Surface Area of Body 2 is the area of body 2 upon which the radiation takes place.ⓘ Surface Area of Body 2 [A₂]			+10% -10%
✖The Emissivity of Body 2 is the ratio of the energy radiated from a body's surface to that radiated from a perfect emitter.ⓘ Emissivity of Body 2 [ε₂]			+10% -10%

✖Interchange factor is defined as the fraction of the energy leaving an isothermal area of a body that is incident upon the area of another body.ⓘ Interchange factor for large body enclosed by another body [f_1-2]

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Formula

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Interchange factor for large body enclosed by another body

Formula

`"f"_{"1-2"} = ((1/"ε"_{"1"})+(("A"_{"1"}/"A"_{"2"})*((1/"ε"_{"2"})-1)))^(-1)`

Example

`"0.139535"=((1/"0.4")+(("100m²"/"50m²")*((1/"0.3")-1)))^(-1)`

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Interchange factor for large body enclosed by another body Solution

STEP 0: Pre-Calculation Summary

Formula Used

Interchange Factor = ((1/Emissivity of Body 1)+((Surface Area of Body 1/Surface Area of Body 2)*((1/Emissivity of Body 2)-1)))^(-1)
f_1-2 = ((1/ε₁)+((A₁/A₂)*((1/ε₂)-1)))^(-1)
This formula uses 5 Variables

Variables Used

Interchange Factor - Interchange factor is defined as the fraction of the energy leaving an isothermal area of a body that is incident upon the area of another body.
Emissivity of Body 1 - The Emissivity of Body 1 is the ratio of the energy radiated from a body's surface to that radiated from a perfect emitter.
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.
Surface Area of Body 2 - (Measured in Square Meter) - The Surface Area of Body 2 is the area of body 2 upon which the radiation takes place.
Emissivity of Body 2 - The Emissivity of Body 2 is the ratio of the energy radiated from a body's surface to that radiated from a perfect emitter.

STEP 1: Convert Input(s) to Base Unit

Emissivity of Body 1: 0.4 --> No Conversion Required
Surface Area of Body 1: 100 Square Meter --> 100 Square Meter No Conversion Required
Surface Area of Body 2: 50 Square Meter --> 50 Square Meter No Conversion Required
Emissivity of Body 2: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_1-2 = ((1/ε₁)+((A₁/A₂)*((1/ε₂)-1)))^(-1) --> ((1/0.4)+((100/50)*((1/0.3)-1)))^(-1)

Evaluating ... ...

f_1-2 = 0.13953488372093

STEP 3: Convert Result to Output's Unit

0.13953488372093 --> No Conversion Required

FINAL ANSWER

0.13953488372093 ≈ 0.139535 <-- Interchange Factor

(Calculation completed in 00.005 seconds)

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< 5 Interchange Factor between Surfaces Calculators

Interchange factor for infinitely long concentric cylinders

Go Interchange Factor = ((1/Emissivity of Body 1)+((Surface Area of Body 1/Surface Area of Body 2)*((1/Emissivity of Body 2)-1)))^(-1)

Interchange factor for large body enclosed by another body

Go Interchange Factor = ((1/Emissivity of Body 1)+((Surface Area of Body 1/Surface Area of Body 2)*((1/Emissivity of Body 2)-1)))^(-1)

Interchange factor for infinitely long concentric spheres

Go Interchange Factor = ((1/Emissivity of Body 1)+((Surface Area of Body 1/Surface Area of Body 2)*((1/Emissivity of Body 2)-1)))^(-1)

Infinite parallel planes

Go Interchange Factor = ((1/Emissivity of Body 1)+(1/Emissivity of Body 2)-1)^(-1)

Interchange factor for two rectangles with common side at right angles to each other

Go Interchange Factor = Emissivity of Body 1*Emissivity of Body 2

Interchange factor for large body enclosed by another body Formula

Interchange Factor = ((1/Emissivity of Body 1)+((Surface Area of Body 1/Surface Area of Body 2)*((1/Emissivity of Body 2)-1)))^(-1)
f_1-2 = ((1/ε₁)+((A₁/A₂)*((1/ε₂)-1)))^(-1)

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).

What is Interchange factor?

Interchange factor is defined as the fraction of the energy leaving an isothermal area of a body that is incident upon the area of another body. It is also known as the Equivalent Emissivity.

How to Calculate Interchange factor for large body enclosed by another body?

Interchange factor for large body enclosed by another body calculator uses Interchange Factor = ((1/Emissivity of Body 1)+((Surface Area of Body 1/Surface Area of Body 2)*((1/Emissivity of Body 2)-1)))^(-1) to calculate the Interchange Factor, The interchange factor for large body enclosed by another body formula calculates the interchange factor which is the fraction of the energy leaving the surface area of a large body that is incident upon the surface area of the body which encloses the large body. Interchange Factor is denoted by f_1-2 symbol.

How to calculate Interchange factor for large body enclosed by another body using this online calculator? To use this online calculator for Interchange factor for large body enclosed by another body, enter Emissivity of Body 1 (ε₁), Surface Area of Body 1 (A₁), Surface Area of Body 2 (A₂) & Emissivity of Body 2 (ε₂) and hit the calculate button. Here is how the Interchange factor for large body enclosed by another body calculation can be explained with given input values -> 0.139535 = ((1/0.4)+((100/50)*((1/0.3)-1)))^(-1).

FAQ

What is Interchange factor for large body enclosed by another body?

The interchange factor for large body enclosed by another body formula calculates the interchange factor which is the fraction of the energy leaving the surface area of a large body that is incident upon the surface area of the body which encloses the large body and is represented as f_1-2 = ((1/ε₁)+((A₁/A₂)*((1/ε₂)-1)))^(-1) or Interchange Factor = ((1/Emissivity of Body 1)+((Surface Area of Body 1/Surface Area of Body 2)*((1/Emissivity of Body 2)-1)))^(-1). The Emissivity of Body 1 is the ratio of the energy radiated from a body's surface to that radiated from a perfect emitter, The Surface Area of Body 1 is the area of body 1 through which the radiation takes place, The Surface Area of Body 2 is the area of body 2 upon which the radiation takes place & The Emissivity of Body 2 is the ratio of the energy radiated from a body's surface to that radiated from a perfect emitter.

How to calculate Interchange factor for large body enclosed by another body?

The interchange factor for large body enclosed by another body formula calculates the interchange factor which is the fraction of the energy leaving the surface area of a large body that is incident upon the surface area of the body which encloses the large body is calculated using Interchange Factor = ((1/Emissivity of Body 1)+((Surface Area of Body 1/Surface Area of Body 2)*((1/Emissivity of Body 2)-1)))^(-1). To calculate Interchange factor for large body enclosed by another body, you need Emissivity of Body 1 (ε₁), Surface Area of Body 1 (A₁), Surface Area of Body 2 (A₂) & Emissivity of Body 2 (ε₂). With our tool, you need to enter the respective value for Emissivity of Body 1, Surface Area of Body 1, Surface Area of Body 2 & Emissivity of Body 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 Interchange Factor?

In this formula, Interchange Factor uses Emissivity of Body 1, Surface Area of Body 1, Surface Area of Body 2 & Emissivity of Body 2. We can use 4 other way(s) to calculate the same, which is/are as follows -

Interchange Factor = ((1/Emissivity of Body 1)+(1/Emissivity of Body 2)-1)^(-1)
Interchange Factor = ((1/Emissivity of Body 1)+((Surface Area of Body 1/Surface Area of Body 2)*((1/Emissivity of Body 2)-1)))^(-1)
Interchange Factor = ((1/Emissivity of Body 1)+((Surface Area of Body 1/Surface Area of Body 2)*((1/Emissivity of Body 2)-1)))^(-1)
Interchange Factor = Emissivity of Body 1*Emissivity of Body 2

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