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*Rs
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*Rs --> 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 00.019 seconds)

Credits

Created by Ravi Khiyani
Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore
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Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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4 Infinite Medium Calculators

Isothermal Ellipsoid Buried in Infinite Medium
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
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
Go Conduction Shape Factor = (8*Distance from Surface to Centre of Object)/(pi*Diameter of Cylinder)
Isothermal Sphere Buried in Infinite Medium
Go Conduction Shape Factor = 4*pi*Radius of Sphere

Isothermal Sphere Buried in Infinite Medium Formula

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

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 gives the shape factor when a sphere is surrounded by an infinite medium and the conduction is taking place between them. 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 (Rs) 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 gives the shape factor when a sphere is surrounded by an infinite medium and the conduction is taking place between them and is represented as S = 4*pi*Rs 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 gives the shape factor when a sphere is surrounded by an infinite medium and the conduction is taking place between them is calculated using Conduction Shape Factor = 4*pi*Radius of Sphere. To calculate Isothermal Sphere Buried in Infinite Medium, you need Radius of Sphere (Rs). 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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