Interchange factor for infinitely long concentric spheres Calculator

✖The Emissivity of Body 1 is a measure of how effectively the surface emits thermal radiation compared to a perfect black body at the same temperature.ⓘ Emissivity of Body 1 [ε₁]			+10% -10%
✖The Surface Area of Body 1 is the total area exposed to the environment, influencing heat transfer and radiation between surfaces in mechanical systems.ⓘ Surface Area of Body 1 [A₁]			+10% -10%
✖The Surface Area of Body 2 is the total area exposed to radiation, influencing heat transfer between surfaces in thermal systems.ⓘ Surface Area of Body 2 [A₂]			+10% -10%
✖The Emissivity of Body 2 is a measure of how effectively the surface emits thermal radiation compared to a perfect black body at the same temperature.ⓘ Emissivity of Body 2 [ε₂]			+10% -10%

✖The Interchange Factor is a measure of the efficiency of heat transfer between two surfaces through radiation, influencing thermal performance in mechanical systems.ⓘ Interchange factor for infinitely long concentric spheres [f_1-2]

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Interchange factor for infinitely long concentric spheres 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 - The Interchange Factor is a measure of the efficiency of heat transfer between two surfaces through radiation, influencing thermal performance in mechanical systems.
Emissivity of Body 1 - The Emissivity of Body 1 is a measure of how effectively the surface emits thermal radiation compared to a perfect black body at the same temperature.
Surface Area of Body 1 - (Measured in Square Meter) - The Surface Area of Body 1 is the total area exposed to the environment, influencing heat transfer and radiation between surfaces in mechanical systems.
Surface Area of Body 2 - (Measured in Square Meter) - The Surface Area of Body 2 is the total area exposed to radiation, influencing heat transfer between surfaces in thermal systems.
Emissivity of Body 2 - The Emissivity of Body 2 is a measure of how effectively the surface emits thermal radiation compared to a perfect black body at the same temperature.

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 00.020 seconds)

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< Interchange Factor between Surfaces Calculators

Interchange factor for infinitely long concentric cylinders

LaTeX 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

LaTeX 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 Infinite parallel planes

LaTeX 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

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

Interchange factor for infinitely long concentric spheres Formula

LaTeX 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)
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 infinitely long concentric spheres?

Interchange factor for infinitely long concentric spheres 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, Interchange factor for infinitely long concentric spheres formula is defined as a dimensionless quantity that characterizes the radiation interaction between two concentric spheres of infinite length, providing a measure of the electromagnetic coupling between the two spheres. Interchange Factor is denoted by f_1-2 symbol.

How to calculate Interchange factor for infinitely long concentric spheres using this online calculator? To use this online calculator for Interchange factor for infinitely long concentric spheres, 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 infinitely long concentric spheres 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 infinitely long concentric spheres?

Interchange factor for infinitely long concentric spheres formula is defined as a dimensionless quantity that characterizes the radiation interaction between two concentric spheres of infinite length, providing a measure of the electromagnetic coupling between the two spheres 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 a measure of how effectively the surface emits thermal radiation compared to a perfect black body at the same temperature, The Surface Area of Body 1 is the total area exposed to the environment, influencing heat transfer and radiation between surfaces in mechanical systems, The Surface Area of Body 2 is the total area exposed to radiation, influencing heat transfer between surfaces in thermal systems & The Emissivity of Body 2 is a measure of how effectively the surface emits thermal radiation compared to a perfect black body at the same temperature.

How to calculate Interchange factor for infinitely long concentric spheres?

Interchange factor for infinitely long concentric spheres formula is defined as a dimensionless quantity that characterizes the radiation interaction between two concentric spheres of infinite length, providing a measure of the electromagnetic coupling between the two spheres 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 infinitely long concentric spheres, 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 3 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 = Emissivity of Body 1*Emissivity of Body 2

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