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

GoVertical Isothermal Cylinder Buried in Semi-Infinite Medium Formula

GoThin Rectangular Plate Buried in Semi-Infinite Medium Formula

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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. Check FAQs

S = \frac{2 \cdot π \cdot D si}{1 + \frac{0.25 \cdot D si}{d s}}

S - Conduction Shape Factor?D_si - Diameter of Sphere Insulated?d_s - Distance from Surface to Centre of Object?π - Archimedes' constant?

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

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Here is how the Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated equation looks like with Values.

Here is how the Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated equation looks like with Units.

Here is how the Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated equation looks like.

28 = \frac{2 \cdot 3.1416 \cdot 4.4664}{1 + \frac{0.25 \cdot 4.4664}{494.8008}}

28m = \frac{2 \cdot 3.1416 \cdot 4.4664m}{1 + \frac{0.25 \cdot 4.4664m}{494.8008m}}

28 = \frac{2 \cdot 3.1416 \cdot 4.4664}{1 + \frac{0.25 \cdot 4.4664}{494.8008}}

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

Follow our step by step solution on how to calculate Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated?

FIRST Step Consider the formula

S = \frac{2 \cdot π \cdot D si}{1 + \frac{0.25 \cdot D si}{d s}}

Next Step Substitute values of Variables

∴

S = \frac{2 \cdot π \cdot 4.4664m}{1 + \frac{0.25 \cdot 4.4664m}{494.8008m}}

Next Step Substitute values of Constants

∴

S = \frac{2 \cdot 3.1416 \cdot 4.4664m}{1 + \frac{0.25 \cdot 4.4664m}{494.8008m}}

Next Step Prepare to Evaluate

∴

S = \frac{2 \cdot 3.1416 \cdot 4.4664}{1 + \frac{0.25 \cdot 4.4664}{494.8008}}

Next Step Evaluate

∴

S = 28.0000008743443m

LAST Step Rounding Answer

∴

S = 28m

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

Variables

Constants

Conduction Shape Factor

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.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Conduction Shape Factor

Diameter of Sphere Insulated

The Diameter of Sphere Insulated is considered in the falling sphere resistance method.

Symbol: D_si

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Sphere Insulated

Distance from Surface to Centre of Object

Distance from surface to centre of object is the distance between the surface and the center of the object.

Symbol: d_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance from Surface to Centre of Object

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Conduction Shape Factor

Go Vertical Isothermal Cylinder Buried in Semi-Infinite Medium

S = \frac{2 \cdot π \cdot l c}{\ln (\frac{4 \cdot l c}{D 1})}

Go Thin Rectangular Plate Buried in Semi-Infinite Medium

S = \frac{2 \cdot π \cdot W plate}{\ln (\frac{4 \cdot W plate}{L plate})}

Go Isothermal Sphere Buried in Semi-Infinite Medium

S = \frac{2 \cdot π \cdot D s}{1 - (\frac{0.25 \cdot D s}{d s})}

Go Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium

S = 1.685 \cdot L pr \cdot {(\log 10 (1 + \frac{D ss}{W pr}))}^{- 0.59} \cdot {(\frac{D ss}{H})}^{- 0.078}

Other formulas in Semi Infinite Medium category

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

S 2 = \frac{2 \cdot π \cdot L c}{\ln (\frac{2 \cdot d}{π \cdot D} \cdot \sinh (\frac{2 \cdot π \cdot d s}{d}))}

Go Isothermal Cylinder Buried in Semi-Infinite Medium

S 1 = \frac{2 \cdot π \cdot L c}{\ln (\frac{4 \cdot d s}{D})}

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

Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated evaluator 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 evaluate 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 evaluate Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated?

The formula of Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated is expressed as Conduction Shape Factor = (2*pi*Diameter of Sphere Insulated)/(1+(0.25*Diameter of Sphere Insulated)/Distance from Surface to Centre of Object). Here is an example- 1.570598 = (2*pi*4.466395)/(1+(0.25*4.466395)/494.8008429).

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

With Diameter of Sphere Insulated (D_si) & Distance from Surface to Centre of Object (d_s) we can find Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated using the formula - Conduction Shape Factor = (2*pi*Diameter of Sphere Insulated)/(1+(0.25*Diameter of Sphere Insulated)/Distance from Surface to Centre of Object). This formula also uses Archimedes' constant .

What are the other ways to Calculate Conduction Shape Factor?

Here are the different ways to Calculate Conduction Shape Factor-

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))

Can the Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated be negative?

No, the Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated, measured in Length cannot be negative.

Which unit is used to measure Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated?

Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated can be measured.

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

​GoVertical Isothermal Cylinder Buried in Semi-Infinite Medium Formula

​GoThin Rectangular Plate Buried in Semi-Infinite Medium Formula

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

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

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

Other Formulas to find Conduction Shape Factor

Other formulas in Semi Infinite Medium category

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

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

Variable Name

GoVertical Isothermal Cylinder Buried in Semi-Infinite Medium Formula

GoThin Rectangular Plate Buried in Semi-Infinite Medium Formula