Hollow Spherical Layer Calculator

✖The Inner Radius of any figure is the radius of its cavity and the smaller radius among two concentric circles.ⓘ Inner Radius [r_i]			+10% -10%
✖The Outer Radius of any figure is the radius of a larger circle of the two concentric circles that form its boundary.ⓘ Outer Radius [r_o]			+10% -10%

✖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.ⓘ Hollow Spherical Layer [S]

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Download Conduction Shape Factors for Different Configurations Formulas PDF PDF Image

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*r_i*r_o)/(r_o-r_i)
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*r_i*r_o)/(r_o-r_i) --> (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 00.035 seconds)

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Home » Physics » Heat and Mass Transfer » Conduction » Conduction Shape Factors for Different Configurations » Mechanical » Finite Medium » Hollow Spherical Layer

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Created by Ravi Khiyani

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

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< Finite Medium Calculators

Eccentric Isothermal Cylinder in Cylinder of Same Length

LaTeX 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

LaTeX 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

LaTeX Go Conduction Shape Factor = (2*pi*Length of Cylinder)/ln((1.08*Width of Square Bar)/Diameter of Cylinder)

Large Plane Wall

LaTeX Go Conduction Shape Factor = Cross-Sectional Area/Thickness

Hollow Spherical Layer Formula

LaTeX Go

Conduction Shape Factor = (4*pi*Inner Radius*Outer Radius)/(Outer Radius-Inner Radius)
S = (4*pi*r_i*r_o)/(r_o-r_i)

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, Hollow Spherical Layer formula is defined as the surface area of a hollow sphere, which is a three-dimensional shape consisting of two concentric spheres with different radii, commonly used in physics and engineering to model various natural and artificial systems. 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 (r_i) & Outer Radius (r_o) 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?

Hollow Spherical Layer formula is defined as the surface area of a hollow sphere, which is a three-dimensional shape consisting of two concentric spheres with different radii, commonly used in physics and engineering to model various natural and artificial systems and is represented as S = (4*pi*r_i*r_o)/(r_o-r_i) 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?

Hollow Spherical Layer formula is defined as the surface area of a hollow sphere, which is a three-dimensional shape consisting of two concentric spheres with different radii, commonly used in physics and engineering to model various natural and artificial systems 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 (r_i) & Outer Radius (r_o). 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 3 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

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