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Thin Rectangular Plate Buried in Semi-Infinite Medium Formula

GoVertical Isothermal Cylinder Buried in Semi-Infinite Medium Formula

GoIsothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated 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 W plate}{\ln (\frac{4 \cdot W plate}{L plate})}

S - Conduction Shape Factor?W_plate - Width of Plate?L_plate - Length of Plate?π - Archimedes' constant?

Thin Rectangular Plate Buried in Semi-Infinite Medium Example

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Here is how the Thin Rectangular Plate Buried in Semi-Infinite Medium equation looks like with Values.

Here is how the Thin Rectangular Plate Buried in Semi-Infinite Medium equation looks like with Units.

Here is how the Thin Rectangular Plate Buried in Semi-Infinite Medium equation looks like.

28 = \frac{2 \cdot 3.1416 \cdot 35.4255}{\ln (\frac{4 \cdot 35.4255}{0.05})}

28m = \frac{2 \cdot 3.1416 \cdot 35.4255m}{\ln (\frac{4 \cdot 35.4255m}{0.05m})}

28 = \frac{2 \cdot 3.1416 \cdot 35.4255}{\ln (\frac{4 \cdot 35.4255}{0.05})}

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Thin Rectangular Plate Buried in Semi-Infinite Medium Solution

Follow our step by step solution on how to calculate Thin Rectangular Plate Buried in Semi-Infinite Medium?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = \frac{2 \cdot π \cdot 35.4255m}{\ln (\frac{4 \cdot 35.4255m}{0.05m})}

Next Step Substitute values of Constants

∴

S = \frac{2 \cdot 3.1416 \cdot 35.4255m}{\ln (\frac{4 \cdot 35.4255m}{0.05m})}

Next Step Prepare to Evaluate

∴

S = \frac{2 \cdot 3.1416 \cdot 35.4255}{\ln (\frac{4 \cdot 35.4255}{0.05})}

Next Step Evaluate

∴

S = 28.0000040604345m

LAST Step Rounding Answer

∴

S = 28m

Thin Rectangular Plate Buried in Semi-Infinite Medium Formula Elements

Variables

Constants

Functions

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

Width of Plate

Width of plate is the measurement or extent from side to side.

Symbol: W_plate

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Plate

Length of Plate

Length of Plate is the distance between two extreme points along one side of the base plate.

Symbol: L_plate

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Plate

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

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

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 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 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 Thin Rectangular Plate Buried in Semi-Infinite Medium?

Thin Rectangular Plate Buried in Semi-Infinite Medium evaluator uses Conduction Shape Factor = (2*pi*Width of Plate)/ln((4*Width of Plate)/Length of Plate) to evaluate the Conduction Shape Factor, Thin Rectangular Plate Buried in Semi-Infinite Medium formula is defined as a measure of the thermal resistance of a thin rectangular plate buried in a semi-infinite medium, which is essential in understanding heat transfer and thermal management in various engineering applications. Conduction Shape Factor is denoted by S symbol.

How to evaluate Thin Rectangular Plate Buried in Semi-Infinite Medium using this online evaluator? To use this online evaluator for Thin Rectangular Plate Buried in Semi-Infinite Medium, enter Width of Plate (W_plate) & Length of Plate (L_plate) and hit the calculate button.

FAQs on Thin Rectangular Plate Buried in Semi-Infinite Medium

What is the formula to find Thin Rectangular Plate Buried in Semi-Infinite Medium?

The formula of Thin Rectangular Plate Buried in Semi-Infinite Medium is expressed as Conduction Shape Factor = (2*pi*Width of Plate)/ln((4*Width of Plate)/Length of Plate). Here is an example- 18.4971 = (2*pi*35.42548)/ln((4*35.42548)/0.05).

How to calculate Thin Rectangular Plate Buried in Semi-Infinite Medium?

With Width of Plate (W_plate) & Length of Plate (L_plate) we can find Thin Rectangular Plate Buried in Semi-Infinite Medium using the formula - Conduction Shape Factor = (2*pi*Width of Plate)/ln((4*Width of Plate)/Length of Plate). This formula also uses Archimedes' constant and Natural Logarithm (ln) function(s).

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

Can the Thin Rectangular Plate Buried in Semi-Infinite Medium be negative?

No, the Thin Rectangular Plate Buried in Semi-Infinite Medium, measured in Length cannot be negative.

Which unit is used to measure Thin Rectangular Plate Buried in Semi-Infinite Medium?

Thin Rectangular Plate 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 Thin Rectangular Plate Buried in Semi-Infinite Medium can be measured.

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Thin Rectangular Plate Buried in Semi-Infinite Medium Formula

​GoVertical Isothermal Cylinder Buried in Semi-Infinite Medium Formula

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

Thin Rectangular Plate Buried in Semi-Infinite Medium Example

Thin Rectangular Plate Buried in Semi-Infinite Medium Solution

Thin Rectangular Plate Buried in Semi-Infinite Medium Formula Elements

Other Formulas to find Conduction Shape Factor

Other formulas in Semi Infinite Medium category

How to Evaluate Thin Rectangular Plate Buried in Semi-Infinite Medium?

FAQs on Thin Rectangular Plate Buried in Semi-Infinite Medium

Variable Name

GoVertical Isothermal Cylinder Buried in Semi-Infinite Medium Formula

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