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Isothermal Sphere Buried in Semi-Infinite Medium 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 s}{1 - (\frac{0.25 \cdot D s}{d s})}

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

Isothermal Sphere Buried in Semi-Infinite Medium Example

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

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

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

28 = \frac{2 \cdot 3.1416 \cdot 4.4463}{1 - (\frac{0.25 \cdot 4.4463}{494.8008})}

28m = \frac{2 \cdot 3.1416 \cdot 4.4463m}{1 - (\frac{0.25 \cdot 4.4463m}{494.8008m})}

28 = \frac{2 \cdot 3.1416 \cdot 4.4463}{1 - (\frac{0.25 \cdot 4.4463}{494.8008})}

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Isothermal Sphere Buried in Semi-Infinite Medium Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = \frac{2 \cdot π \cdot 4.4463m}{1 - (\frac{0.25 \cdot 4.4463m}{494.8008m})}

Next Step Substitute values of Constants

∴

S = \frac{2 \cdot 3.1416 \cdot 4.4463m}{1 - (\frac{0.25 \cdot 4.4463m}{494.8008m})}

Next Step Prepare to Evaluate

∴

S = \frac{2 \cdot 3.1416 \cdot 4.4463}{1 - (\frac{0.25 \cdot 4.4463}{494.8008})}

Next Step Evaluate

∴

S = 27.9999991349914m

LAST Step Rounding Answer

∴

S = 28m

Isothermal Sphere Buried in Semi-Infinite Medium 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

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

Symbol: D_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Sphere

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 whose Surface is Insulated

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

Isothermal Sphere Buried in Semi-Infinite Medium evaluator uses Conduction Shape Factor = (2*pi*Diameter of Sphere)/(1-((0.25*Diameter of Sphere)/Distance from Surface to Centre of Object)) to evaluate the Conduction Shape Factor, Isothermal Sphere Buried in Semi-Infinite Medium formula is defined as a mathematical representation that determines the steady-state temperature distribution around a spherical object buried in a semi-infinite medium, taking into account the sphere's diameter and its distance from the surface of the medium. Conduction Shape Factor is denoted by S symbol.

How to evaluate Isothermal Sphere Buried in Semi-Infinite Medium using this online evaluator? To use this online evaluator for Isothermal Sphere Buried in Semi-Infinite Medium, enter Diameter of Sphere (D_s) & Distance from Surface to Centre of Object (d_s) and hit the calculate button.

FAQs on Isothermal Sphere Buried in Semi-Infinite Medium

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

The formula of Isothermal Sphere Buried in Semi-Infinite Medium is expressed as Conduction Shape Factor = (2*pi*Diameter of Sphere)/(1-((0.25*Diameter of Sphere)/Distance from Surface to Centre of Object)). Here is an example- 1.570995 = (2*pi*4.446327)/(1-((0.25*4.446327)/494.8008429)).

How to calculate Isothermal Sphere Buried in Semi-Infinite Medium?

With Diameter of Sphere (D_s) & Distance from Surface to Centre of Object (d_s) we can find Isothermal Sphere Buried in Semi-Infinite Medium using the formula - Conduction Shape Factor = (2*pi*Diameter of Sphere)/(1-((0.25*Diameter of Sphere)/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 Insulated)/(1+(0.25*Diameter of Sphere Insulated)/Distance from Surface to Centre of Object)

Can the Isothermal Sphere Buried in Semi-Infinite Medium be negative?

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

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

Isothermal Sphere Buried in Semi-Infinite Medium 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 can be measured.

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Isothermal Sphere Buried in Semi-Infinite Medium 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 Example

Isothermal Sphere Buried in Semi-Infinite Medium Solution

Isothermal Sphere Buried in Semi-Infinite Medium 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?

FAQs on Isothermal Sphere Buried in Semi-Infinite Medium

Variable Name

GoVertical Isothermal Cylinder Buried in Semi-Infinite Medium Formula

GoThin Rectangular Plate Buried in Semi-Infinite Medium Formula