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Isothermal Cylinder Buried in Semi-Infinite Medium Formula

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

S₁ - Conduction Shape Factor 1?L_c - Length of Cylinder?d_s - Distance from Surface to Centre of Object?D - Diameter of Cylinder?π - Archimedes' constant?

Isothermal Cylinder Buried in Semi-Infinite Medium Example

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

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

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

6.6422 = \frac{2 \cdot 3.1416 \cdot 4}{\ln (\frac{4 \cdot 494.8008}{45})}

6.6422m = \frac{2 \cdot 3.1416 \cdot 4m}{\ln (\frac{4 \cdot 494.8008m}{45m})}

6.6422 = \frac{2 \cdot 3.1416 \cdot 4}{\ln (\frac{4 \cdot 494.8008}{45})}

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Isothermal Cylinder Buried in Semi-Infinite Medium Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S 1 = \frac{2 \cdot π \cdot 4m}{\ln (\frac{4 \cdot 494.8008m}{45m})}

Next Step Substitute values of Constants

∴

S 1 = \frac{2 \cdot 3.1416 \cdot 4m}{\ln (\frac{4 \cdot 494.8008m}{45m})}

Next Step Prepare to Evaluate

∴

S 1 = \frac{2 \cdot 3.1416 \cdot 4}{\ln (\frac{4 \cdot 494.8008}{45})}

Next Step Evaluate

∴

S 1 = 6.64221844361145m

LAST Step Rounding Answer

∴

S 1 = 6.6422m

Isothermal Cylinder Buried in Semi-Infinite Medium Formula Elements

Variables

Constants

Functions

Conduction Shape Factor 1

Conduction shape factor 1 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: S₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Conduction Shape Factor 1

Length of Cylinder

Length of Cylinder is the vertical height of the Cylinder.

Symbol: L_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Cylinder

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

Diameter of Cylinder

The Diameter of Cylinder is the maximum width of cylinder in transverse direction.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Cylinder

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 in Semi Infinite Medium category

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 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 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}}

How to Evaluate Isothermal Cylinder Buried in Semi-Infinite Medium?

Isothermal Cylinder Buried in Semi-Infinite Medium evaluator uses Conduction Shape Factor 1 = (2*pi*Length of Cylinder)/(ln((4*Distance from Surface to Centre of Object)/Diameter of Cylinder)) to evaluate the Conduction Shape Factor 1, Isothermal Cylinder Buried in Semi-Infinite Medium formula is defined as a measure of the heat transfer rate from a cylinder buried in a semi-infinite medium, taking into account the cylinder's length, diameter, and the distance from the surface of the medium. Conduction Shape Factor 1 is denoted by S₁ symbol.

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

FAQs on Isothermal Cylinder Buried in Semi-Infinite Medium

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

The formula of Isothermal Cylinder Buried in Semi-Infinite Medium is expressed as Conduction Shape Factor 1 = (2*pi*Length of Cylinder)/(ln((4*Distance from Surface to Centre of Object)/Diameter of Cylinder)). Here is an example- 4.216048 = (2*pi*4)/(ln((4*494.8008429)/45)).

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

With Length of Cylinder (L_c), Distance from Surface to Centre of Object (d_s) & Diameter of Cylinder (D) we can find Isothermal Cylinder Buried in Semi-Infinite Medium using the formula - Conduction Shape Factor 1 = (2*pi*Length of Cylinder)/(ln((4*Distance from Surface to Centre of Object)/Diameter of Cylinder)). This formula also uses Archimedes' constant and Natural Logarithm (ln) function(s).

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

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

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

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

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Isothermal Cylinder Buried in Semi-Infinite Medium Formula

Isothermal Cylinder Buried in Semi-Infinite Medium Example

Isothermal Cylinder Buried in Semi-Infinite Medium Solution

Isothermal Cylinder Buried in Semi-Infinite Medium Formula Elements

Other formulas in Semi Infinite Medium category

How to Evaluate Isothermal Cylinder Buried in Semi-Infinite Medium?

FAQs on Isothermal Cylinder Buried in Semi-Infinite Medium

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