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

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Conduction shape factor 2 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 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}))}

S₂ - Conduction Shape Factor 2?L_c - Length of Cylinder?d - Distance Between Centers?D - Diameter of Cylinder?d_s - Distance from Surface to Centre of Object?π - Archimedes' constant?

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

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Here is how the Row of Equally Spaced Parallel Isothermal Cylinders Buried in Semi-infinite Medium equation looks like.

0.0831 = \frac{2 \cdot 3.1416 \cdot 4}{\ln (\frac{2 \cdot 10.189}{3.1416 \cdot 45} \cdot \sinh (\frac{2 \cdot 3.1416 \cdot 494.8008}{10.189}))}

0.0831m = \frac{2 \cdot 3.1416 \cdot 4m}{\ln (\frac{2 \cdot 10.189m}{3.1416 \cdot 45m} \cdot \sinh (\frac{2 \cdot 3.1416 \cdot 494.8008m}{10.189m}))}

0.0831 = \frac{2 \cdot 3.1416 \cdot 4}{\ln (\frac{2 \cdot 10.189}{3.1416 \cdot 45} \cdot \sinh (\frac{2 \cdot 3.1416 \cdot 494.8008}{10.189}))}

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

Follow our step by step solution on how to calculate Row of Equally Spaced Parallel Isothermal Cylinders Buried in Semi-infinite Medium?

FIRST Step Consider the formula

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}))}

Next Step Substitute values of Variables

∴

S 2 = \frac{2 \cdot π \cdot 4m}{\ln (\frac{2 \cdot 10.189m}{π \cdot 45m} \cdot \sinh (\frac{2 \cdot π \cdot 494.8008m}{10.189m}))}

Next Step Substitute values of Constants

∴

S 2 = \frac{2 \cdot 3.1416 \cdot 4m}{\ln (\frac{2 \cdot 10.189m}{3.1416 \cdot 45m} \cdot \sinh (\frac{2 \cdot 3.1416 \cdot 494.8008m}{10.189m}))}

Next Step Prepare to Evaluate

∴

S 2 = \frac{2 \cdot 3.1416 \cdot 4}{\ln (\frac{2 \cdot 10.189}{3.1416 \cdot 45} \cdot \sinh (\frac{2 \cdot 3.1416 \cdot 494.8008}{10.189}))}

Next Step Evaluate

∴

S 2 = 0.0830847749786822m

LAST Step Rounding Answer

∴

S 2 = 0.0831m

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

Variables

Constants

Functions

Conduction Shape Factor 2

Conduction shape factor 2 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: S₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Conduction Shape Factor 2

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 Between Centers

Distance between centers is the distance between two centers of circle.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance Between Centers

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

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

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

Syntax: ln(Number)

sinh

The hyperbolic sine function, also known as the sinh function, is a mathematical function that is defined as the hyperbolic analogue of the sine function.

Syntax: sinh(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 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})}

How to Evaluate Row of Equally Spaced Parallel Isothermal Cylinders Buried in Semi-infinite Medium?

Row of Equally Spaced Parallel Isothermal Cylinders Buried in Semi-infinite Medium evaluator uses Conduction Shape Factor 2 = (2*pi*Length of Cylinder)/(ln((2*Distance Between Centers)/(pi*Diameter of Cylinder)*sinh((2*pi*Distance from Surface to Centre of Object)/Distance Between Centers))) to evaluate the Conduction Shape Factor 2, Row of Equally Spaced Parallel Isothermal Cylinders Buried in Semi-infinite Medium formula is defined as a method to determine the thermal resistance of a row of equally spaced parallel isothermal cylinders buried in a semi-infinite medium, which is essential in understanding heat transfer in various engineering applications. Conduction Shape Factor 2 is denoted by S₂ symbol.

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

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

What is the formula to find Row of Equally Spaced Parallel Isothermal Cylinders Buried in Semi-infinite Medium?

The formula of Row of Equally Spaced Parallel Isothermal Cylinders Buried in Semi-infinite Medium is expressed as Conduction Shape Factor 2 = (2*pi*Length of Cylinder)/(ln((2*Distance Between Centers)/(pi*Diameter of Cylinder)*sinh((2*pi*Distance from Surface to Centre of Object)/Distance Between Centers))). Here is an example- 0.082491 = (2*pi*4)/(ln((2*10.1890145)/(pi*45)*sinh((2*pi*494.8008429)/10.1890145))).

How to calculate Row of Equally Spaced Parallel Isothermal Cylinders Buried in Semi-infinite Medium?

With Length of Cylinder (L_c), Distance Between Centers (d), Diameter of Cylinder (D) & Distance from Surface to Centre of Object (d_s) we can find Row of Equally Spaced Parallel Isothermal Cylinders Buried in Semi-infinite Medium using the formula - Conduction Shape Factor 2 = (2*pi*Length of Cylinder)/(ln((2*Distance Between Centers)/(pi*Diameter of Cylinder)*sinh((2*pi*Distance from Surface to Centre of Object)/Distance Between Centers))). This formula also uses Archimedes' constant and , Natural Logarithm (ln), Hyperbolic Sine (sinh) function(s).

Can the Row of Equally Spaced Parallel Isothermal Cylinders Buried in Semi-infinite Medium be negative?

No, the Row of Equally Spaced Parallel Isothermal Cylinders Buried in Semi-infinite Medium, measured in Length cannot be negative.

Which unit is used to measure Row of Equally Spaced Parallel Isothermal Cylinders Buried in Semi-infinite Medium?

Row of Equally Spaced Parallel Isothermal Cylinders 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 Row of Equally Spaced Parallel Isothermal Cylinders Buried in Semi-infinite Medium can be measured.

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

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

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

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

Other formulas in Semi Infinite Medium category

How to Evaluate Row of Equally Spaced Parallel Isothermal Cylinders Buried in Semi-infinite Medium?

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

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