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

S - Conduction Shape Factor?L_pr - Length of Parallelepiped?D_ss - Distance from Surface to Surface of Object?W_pr - Width of Parallelepiped?H - Height of Parallelepiped?

Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium Example

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

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

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

28 = 1.685 \cdot 7.0479 \cdot {(\log 10 (1 + \frac{8}{11}))}^{- 0.59} \cdot {(\frac{8}{9})}^{- 0.078}

28m = 1.685 \cdot 7.0479m \cdot {(\log 10 (1 + \frac{8m}{11m}))}^{- 0.59} \cdot {(\frac{8m}{9m})}^{- 0.078}

28 = 1.685 \cdot 7.0479 \cdot {(\log 10 (1 + \frac{8}{11}))}^{- 0.59} \cdot {(\frac{8}{9})}^{- 0.078}

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Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = 1.685 \cdot 7.0479m \cdot {(\log 10 (1 + \frac{8m}{11m}))}^{- 0.59} \cdot {(\frac{8m}{9m})}^{- 0.078}

Next Step Prepare to Evaluate

∴

S = 1.685 \cdot 7.0479 \cdot {(\log 10 (1 + \frac{8}{11}))}^{- 0.59} \cdot {(\frac{8}{9})}^{- 0.078}

Next Step Evaluate

∴

S = 28.0000045619557m

LAST Step Rounding Answer

∴

S = 28m

Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium Formula Elements

Variables

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

Length of Parallelepiped

Length of parallelepiped is the length of a three-dimensional figure called parallelepiped formed by six parallelograms.

Symbol: L_pr

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Parallelepiped

Distance from Surface to Surface of Object

Distance from Surface to Surface of Object is the lateral distance between the two surfaces of the objects.

Symbol: D_ss

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance from Surface to Surface of Object

Width of Parallelepiped

Width of parallelepiped is the width of a three-dimensional figure called parallelepiped formed by six parallelograms.

Symbol: W_pr

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Parallelepiped

Height of Parallelepiped

Height of parallelepiped is the height of a three-dimensional figure called a parallelepiped formed by six parallelograms.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Parallelepiped

log10

The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function.

Syntax: log10(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 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 Sphere Buried in Semi-Infinite Medium

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

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 Rectangular Parallelepiped Buried in Semi-Infinite Medium?

Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium evaluator uses Conduction Shape Factor = 1.685*Length of Parallelepiped*(log10(1+Distance from Surface to Surface of Object/Width of Parallelepiped))^(-0.59)*(Distance from Surface to Surface of Object/Height of Parallelepiped)^(-0.078) to evaluate the Conduction Shape Factor, Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium formula is defined as a method to estimate the spreading resistance of a rectangular parallelepiped heat source buried in a semi-infinite medium, which is essential in thermal management and heat transfer analysis in various engineering applications. Conduction Shape Factor is denoted by S symbol.

How to evaluate Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium using this online evaluator? To use this online evaluator for Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium, enter Length of Parallelepiped (L_pr), Distance from Surface to Surface of Object (D_ss), Width of Parallelepiped (W_pr) & Height of Parallelepiped (H) and hit the calculate button.

FAQs on Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium

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

The formula of Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium is expressed as Conduction Shape Factor = 1.685*Length of Parallelepiped*(log10(1+Distance from Surface to Surface of Object/Width of Parallelepiped))^(-0.59)*(Distance from Surface to Surface of Object/Height of Parallelepiped)^(-0.078). Here is an example- 190.6951 = 1.685*7.0479*(log10(1+8/11))^(-0.59)*(8/9)^(-0.078).

How to calculate Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium?

With Length of Parallelepiped (L_pr), Distance from Surface to Surface of Object (D_ss), Width of Parallelepiped (W_pr) & Height of Parallelepiped (H) we can find Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium using the formula - Conduction Shape Factor = 1.685*Length of Parallelepiped*(log10(1+Distance from Surface to Surface of Object/Width of Parallelepiped))^(-0.59)*(Distance from Surface to Surface of Object/Height of Parallelepiped)^(-0.078). This formula also uses Common Logarithm (log10) 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*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 Rectangular Parallelepiped Buried in Semi-Infinite Medium be negative?

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

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

Isothermal Rectangular Parallelepiped 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 Rectangular Parallelepiped Buried in Semi-Infinite Medium can be measured.

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Isothermal Rectangular Parallelepiped 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 Rectangular Parallelepiped Buried in Semi-Infinite Medium Example

Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium Solution

Isothermal Rectangular Parallelepiped 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 Rectangular Parallelepiped Buried in Semi-Infinite Medium?

FAQs on Isothermal Rectangular Parallelepiped 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