Hollow Spherical Layer Solution

STEP 0: Pre-Calculation Summary
Formula Used
Conduction Shape Factor = (4*pi*Inner Radius*Outer Radius)/(Outer Radius-Inner Radius)
S = (4*pi*ri*ro)/(ro-ri)
This formula uses 1 Constants, 3 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.
Inner Radius - (Measured in Meter) - The Inner Radius of any figure is the radius of its cavity and the smaller radius among two concentric circles.
Outer Radius - (Measured in Meter) - The Outer Radius of any figure is the radius of a larger circle of the two concentric circles that form its boundary.
STEP 1: Convert Input(s) to Base Unit
Inner Radius: 2 Meter --> 2 Meter No Conversion Required
Outer Radius: 19.53078889 Meter --> 19.53078889 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = (4*pi*ri*ro)/(ro-ri) --> (4*pi*2*19.53078889)/(19.53078889-2)
Evaluating ... ...
S = 28.0000099393757
STEP 3: Convert Result to Output's Unit
28.0000099393757 Meter --> No Conversion Required
FINAL ANSWER
28.0000099393757 28.00001 Meter <-- Conduction Shape Factor
(Calculation completed in 00.020 seconds)

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 Akshay Talbar
Vishwakarma University (VU), Pune
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9 Conduction Shape Factors for Different Configurations Calculators

Eccentric Isothermal Cylinder in Cylinder of Same Length
Go Conduction Shape Factor = (2*pi*Length of Cylinder)/acosh((Diameter of Cylinder 1^2+Diameter of Cylinder 2^2-4*Eccentric Distance Between Objects^2)/(2*Diameter of Cylinder 1*Diameter of Cylinder 2))
Long Hollow Cylindrical Layer
Go Conduction Shape Factor = (2*pi*Length of Cylinder)/(ln(Outer Radius of Cylinder/Inner Radius of Cylinder))
Isothermal Cylinder at Center of Square Solid Bar of Same Length
Go Conduction Shape Factor = (2*pi*Length of Cylinder)/ln((1.08*Width of Square Bar)/Diameter of Cylinder)
Square Flow Passage with Width to b Ratio Greater than 1.4
Go Conduction Shape Factor = (2*pi*Length of Pipe)/(0.93*ln(0.948*Outer Width 1/Inner Width 1))
Square Flow Passage with Width to b Ratio Less than 1.4
Go Conduction Shape Factor = (2*pi*Length of Pipe)/(0.785*ln(Outer Width 2/Inner Width 2))
Hollow Spherical Layer
Go Conduction Shape Factor = (4*pi*Inner Radius*Outer Radius)/(Outer Radius-Inner Radius)
Large Plane Wall
Go Conduction Shape Factor = Cross-Sectional Area/Thickness
Corner of Three Walls of Equal Thickness
Go Conduction Shape Factor = 0.15*Thickness of Wall
Conduction through Edge of Two Adjoining Walls of Equal Thickness
Go Conduction Shape Factor = 0.54*Length of Wall

Hollow Spherical Layer Formula

Conduction Shape Factor = (4*pi*Inner Radius*Outer Radius)/(Outer Radius-Inner Radius)
S = (4*pi*ri*ro)/(ro-ri)

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 Hollow Spherical Layer?

Hollow Spherical Layer calculator uses Conduction Shape Factor = (4*pi*Inner Radius*Outer Radius)/(Outer Radius-Inner Radius) to calculate the Conduction Shape Factor, The Hollow spherical layer formula gives the shape factor when there is a spherical layer on a sphere or only a hollow sphere. Conduction Shape Factor is denoted by S symbol.

How to calculate Hollow Spherical Layer using this online calculator? To use this online calculator for Hollow Spherical Layer, enter Inner Radius (ri) & Outer Radius (ro) and hit the calculate button. Here is how the Hollow Spherical Layer calculation can be explained with given input values -> 28.00001 = (4*pi*2*19.53078889)/(19.53078889-2).

FAQ

What is Hollow Spherical Layer?
The Hollow spherical layer formula gives the shape factor when there is a spherical layer on a sphere or only a hollow sphere and is represented as S = (4*pi*ri*ro)/(ro-ri) or Conduction Shape Factor = (4*pi*Inner Radius*Outer Radius)/(Outer Radius-Inner Radius). The Inner Radius of any figure is the radius of its cavity and the smaller radius among two concentric circles & The Outer Radius of any figure is the radius of a larger circle of the two concentric circles that form its boundary.
How to calculate Hollow Spherical Layer?
The Hollow spherical layer formula gives the shape factor when there is a spherical layer on a sphere or only a hollow sphere is calculated using Conduction Shape Factor = (4*pi*Inner Radius*Outer Radius)/(Outer Radius-Inner Radius). To calculate Hollow Spherical Layer, you need Inner Radius (ri) & Outer Radius (ro). With our tool, you need to enter the respective value for Inner Radius & Outer Radius 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 Inner Radius & Outer Radius. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • Conduction Shape Factor = (2*pi*Length of Cylinder)/ln((1.08*Width of Square Bar)/Diameter of Cylinder)
  • Conduction Shape Factor = (2*pi*Length of Cylinder)/acosh((Diameter of Cylinder 1^2+Diameter of Cylinder 2^2-4*Eccentric Distance Between Objects^2)/(2*Diameter of Cylinder 1*Diameter of Cylinder 2))
  • Conduction Shape Factor = Cross-Sectional Area/Thickness
  • Conduction Shape Factor = (2*pi*Length of Cylinder)/(ln(Outer Radius of Cylinder/Inner Radius of Cylinder))
  • Conduction Shape Factor = (2*pi*Length of Pipe)/(0.93*ln(0.948*Outer Width 1/Inner Width 1))
  • Conduction Shape Factor = (2*pi*Length of Pipe)/(0.785*ln(Outer Width 2/Inner Width 2))
  • Conduction Shape Factor = 0.15*Thickness of Wall
  • Conduction Shape Factor = 0.54*Length of Wall
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