Isothermal Sphere Buried in Infinite Medium Calculator

✖Radius of Sphere is a line segment extending from the center of a sphere to the circumference or bounding surface.ⓘ Radius of Sphere [R_s]

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✖Conduction shape factor is defined as the value used to determine the heat transfer rate for the configurations which are very complex and require high calculation time.ⓘ Isothermal Sphere Buried in Infinite Medium [S]

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Isothermal Sphere Buried in Infinite Medium Solution

STEP 0: Pre-Calculation Summary

Formula Used

Conduction Shape Factor = 4*pi*Radius of Sphere
S = 4*pi*R_s
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Conduction Shape Factor - (Measured in Meter) - Conduction shape factor is defined as the value used to determine the heat transfer rate for the configurations which are very complex and require high calculation time.
Radius of Sphere - (Measured in Meter) - Radius of Sphere is a line segment extending from the center of a sphere to the circumference or bounding surface.

STEP 1: Convert Input(s) to Base Unit

Radius of Sphere: 2.228169 Meter --> 2.228169 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = 4*pi*R_s --> 4*pi*2.228169

Evaluating ... ...

S = 27.9999974454261

STEP 3: Convert Result to Output's Unit

27.9999974454261 Meter --> No Conversion Required

FINAL ANSWER

27.9999974454261 ≈ 28 Meter <-- Conduction Shape Factor

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Conduction » Conduction Shape Factors for Different Configurations » Mechanical » Infinite Medium » Isothermal Sphere Buried in Infinite Medium

Credits

Created by Ravi Khiyani

Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore

Ravi Khiyani has created this Calculator and 200+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< Infinite Medium Calculators

Isothermal Ellipsoid Buried in Infinite Medium

LaTeX Go Conduction Shape Factor = (4*pi*Semi Major Axis of Ellipse*sqrt(1-Semi Minor Axis of Ellipse/Semi Major Axis of Ellipse^2))/(atanh(sqrt(1-Semi Minor Axis of Ellipse/Semi Major Axis of Ellipse^2)))

Two parallel Isothermal Cylinders placed in Infinite medium

LaTeX Go Conduction Shape Factor = (2*pi*Length of Cylinder)/acosh((4*Distance Between Centers^2-Diameter of Cylinder 1^2-Diameter of Cylinder 2^2)/(2*Diameter of Cylinder 1*Diameter of Cylinder 2))

Isothermal Cylinder in Midplane of Infinite wall

LaTeX Go Conduction Shape Factor = (8*Distance from Surface to Centre of Object)/(pi*Diameter of Cylinder)

Isothermal Sphere Buried in Infinite Medium

LaTeX Go Conduction Shape Factor = 4*pi*Radius of Sphere

Isothermal Sphere Buried in Infinite Medium Formula

LaTeX Go

Conduction Shape Factor = 4*pi*Radius of Sphere
S = 4*pi*R_s

Why we use conduction shape factor?

Conduction shape factors are generally used when the geometries and configurations of the system are complex which makes the calculation of heat transfer very difficult.

How to Calculate Isothermal Sphere Buried in Infinite Medium?

Isothermal Sphere Buried in Infinite Medium calculator uses Conduction Shape Factor = 4*pi*Radius of Sphere to calculate the Conduction Shape Factor, Isothermal Sphere Buried in Infinite Medium formula is defined as a mathematical representation of the thermal behavior of a sphere buried in an infinite medium, where the sphere's surface temperature is uniform and the surrounding medium is at a constant temperature, allowing for the calculation of heat transfer and thermal properties. Conduction Shape Factor is denoted by S symbol.

How to calculate Isothermal Sphere Buried in Infinite Medium using this online calculator? To use this online calculator for Isothermal Sphere Buried in Infinite Medium, enter Radius of Sphere (R_s) and hit the calculate button. Here is how the Isothermal Sphere Buried in Infinite Medium calculation can be explained with given input values -> 15.07964 = 4*pi*2.228169.

FAQ

What is Isothermal Sphere Buried in Infinite Medium?

Isothermal Sphere Buried in Infinite Medium formula is defined as a mathematical representation of the thermal behavior of a sphere buried in an infinite medium, where the sphere's surface temperature is uniform and the surrounding medium is at a constant temperature, allowing for the calculation of heat transfer and thermal properties and is represented as S = 4*pi*R_s or Conduction Shape Factor = 4*pi*Radius of Sphere. Radius of Sphere is a line segment extending from the center of a sphere to the circumference or bounding surface.

How to calculate Isothermal Sphere Buried in Infinite Medium?

Isothermal Sphere Buried in Infinite Medium formula is defined as a mathematical representation of the thermal behavior of a sphere buried in an infinite medium, where the sphere's surface temperature is uniform and the surrounding medium is at a constant temperature, allowing for the calculation of heat transfer and thermal properties is calculated using Conduction Shape Factor = 4*pi*Radius of Sphere. To calculate Isothermal Sphere Buried in Infinite Medium, you need Radius of Sphere (R_s). With our tool, you need to enter the respective value for Radius of Sphere 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 Conduction Shape Factor?

In this formula, Conduction Shape Factor uses Radius of Sphere. We can use 3 other way(s) to calculate the same, which is/are as follows -

Conduction Shape Factor = (2*pi*Length of Cylinder)/acosh((4*Distance Between Centers^2-Diameter of Cylinder 1^2-Diameter of Cylinder 2^2)/(2*Diameter of Cylinder 1*Diameter of Cylinder 2))
Conduction Shape Factor = (4*pi*Semi Major Axis of Ellipse*sqrt(1-Semi Minor Axis of Ellipse/Semi Major Axis of Ellipse^2))/(atanh(sqrt(1-Semi Minor Axis of Ellipse/Semi Major Axis of Ellipse^2)))
Conduction Shape Factor = (8*Distance from Surface to Centre of Object)/(pi*Diameter of Cylinder)

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