Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated Calculator

✖The Diameter of Sphere Insulated is considered in the falling sphere resistance method.ⓘ Diameter of Sphere Insulated [D_si]			+10% -10%
✖Distance from surface to centre of object is the distance between the surface and the center of the object.ⓘ Distance from Surface to Centre of Object [d_s]			+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.ⓘ Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated [S]

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Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated Solution

STEP 0: Pre-Calculation Summary

Formula Used

Conduction Shape Factor = (2*pi*Diameter of Sphere Insulated)/(1+(0.25*Diameter of Sphere Insulated)/Distance from Surface to Centre of Object)
S = (2*pi*D_si)/(1+(0.25*D_si)/d_s)
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.
Diameter of Sphere Insulated - (Measured in Meter) - The Diameter of Sphere Insulated is considered in the falling sphere resistance method.
Distance from Surface to Centre of Object - (Measured in Meter) - Distance from surface to centre of object is the distance between the surface and the center of the object.

STEP 1: Convert Input(s) to Base Unit

Diameter of Sphere Insulated: 4.466395 Meter --> 4.466395 Meter No Conversion Required
Distance from Surface to Centre of Object: 494.8008429 Meter --> 494.8008429 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = (2*pi*D_si)/(1+(0.25*D_si)/d_s) --> (2*pi*4.466395)/(1+(0.25*4.466395)/494.8008429)

Evaluating ... ...

S = 28.0000008743443

STEP 3: Convert Result to Output's Unit

28.0000008743443 Meter --> No Conversion Required

FINAL ANSWER

28.0000008743443 ≈ 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 » Semi Infinite Medium » Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated

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< Semi Infinite Medium Calculators

Row of Equally Spaced Parallel Isothermal Cylinders Buried in Semi-infinite Medium

LaTeX Go Conduction Shape Factor 2 = (2*pi*Length of Cylinder)/(ln((2*Distance Between Centers)/(pi*Diameter of Cylinder)*sinh((2*pi*Distance from Surface to Centre of Object)/Distance Between Centers)))

Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated

LaTeX Go Conduction Shape Factor = (2*pi*Diameter of Sphere Insulated)/(1+(0.25*Diameter of Sphere Insulated)/Distance from Surface to Centre of Object)

Vertical Isothermal Cylinder Buried in Semi-Infinite Medium

LaTeX Go Conduction Shape Factor = (2*pi*Length of Cylinder 1)/(ln((4*Length of Cylinder 1)/Diameter of Cylinder 1))

Thin Rectangular Plate Buried in Semi-Infinite Medium

LaTeX Go Conduction Shape Factor = (2*pi*Width of Plate)/ln((4*Width of Plate)/Length of Plate)

Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated Formula

LaTeX Go

Conduction Shape Factor = (2*pi*Diameter of Sphere Insulated)/(1+(0.25*Diameter of Sphere Insulated)/Distance from Surface to Centre of Object)
S = (2*pi*D_si)/(1+(0.25*D_si)/d_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 Semi-Infinite Medium whose Surface is Insulated?

Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated calculator uses Conduction Shape Factor = (2*pi*Diameter of Sphere Insulated)/(1+(0.25*Diameter of Sphere Insulated)/Distance from Surface to Centre of Object) to calculate the Conduction Shape Factor, Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated formula is defined as a measure of the steady-state heat transfer rate from a spherical object buried in a semi-infinite medium, with the surface of the sphere being perfectly insulated, and is used to analyze heat conduction in various engineering applications. Conduction Shape Factor is denoted by S symbol.

How to calculate Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated using this online calculator? To use this online calculator for Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated, enter Diameter of Sphere Insulated (D_si) & Distance from Surface to Centre of Object (d_s) and hit the calculate button. Here is how the Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated calculation can be explained with given input values -> 1.570598 = (2*pi*4.466395)/(1+(0.25*4.466395)/494.8008429).

FAQ

What is Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated?

Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated formula is defined as a measure of the steady-state heat transfer rate from a spherical object buried in a semi-infinite medium, with the surface of the sphere being perfectly insulated, and is used to analyze heat conduction in various engineering applications and is represented as S = (2*pi*D_si)/(1+(0.25*D_si)/d_s) or Conduction Shape Factor = (2*pi*Diameter of Sphere Insulated)/(1+(0.25*Diameter of Sphere Insulated)/Distance from Surface to Centre of Object). The Diameter of Sphere Insulated is considered in the falling sphere resistance method & Distance from surface to centre of object is the distance between the surface and the center of the object.

How to calculate Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated?

Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated formula is defined as a measure of the steady-state heat transfer rate from a spherical object buried in a semi-infinite medium, with the surface of the sphere being perfectly insulated, and is used to analyze heat conduction in various engineering applications is calculated using Conduction Shape Factor = (2*pi*Diameter of Sphere Insulated)/(1+(0.25*Diameter of Sphere Insulated)/Distance from Surface to Centre of Object). To calculate Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated, you need Diameter of Sphere Insulated (D_si) & Distance from Surface to Centre of Object (d_s). With our tool, you need to enter the respective value for Diameter of Sphere Insulated & Distance from Surface to Centre of Object 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 Diameter of Sphere Insulated & Distance from Surface to Centre of Object. We can use 3 other way(s) to calculate the same, which is/are as follows -

Conduction Shape Factor = (2*pi*Length of Cylinder 1)/(ln((4*Length of Cylinder 1)/Diameter of Cylinder 1))
Conduction Shape Factor = (2*pi*Width of Plate)/ln((4*Width of Plate)/Length of Plate)
Conduction Shape Factor = (2*pi*Diameter of Sphere)/(1-((0.25*Diameter of Sphere)/Distance from Surface to Centre of Object))

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