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Isothermal Cylinder in Midplane of Infinite wall Formula

GoTwo parallel Isothermal Cylinders placed in Infinite medium Formula

GoIsothermal Sphere Buried in 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{8 \cdot d s}{π \cdot D}

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

Isothermal Cylinder in Midplane of Infinite wall Example

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Here is how the Isothermal Cylinder in Midplane of Infinite wall equation looks like with Values.

Here is how the Isothermal Cylinder in Midplane of Infinite wall equation looks like with Units.

Here is how the Isothermal Cylinder in Midplane of Infinite wall equation looks like.

28 = \frac{8 \cdot 494.8008}{3.1416 \cdot 45}

28m = \frac{8 \cdot 494.8008m}{3.1416 \cdot 45m}

28 = \frac{8 \cdot 494.8008}{3.1416 \cdot 45}

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Isothermal Cylinder in Midplane of Infinite wall Solution

Follow our step by step solution on how to calculate Isothermal Cylinder in Midplane of Infinite wall?

FIRST Step Consider the formula

S = \frac{8 \cdot d s}{π \cdot D}

Next Step Substitute values of Variables

∴

S = \frac{8 \cdot 494.8008m}{π \cdot 45m}

Next Step Substitute values of Constants

∴

S = \frac{8 \cdot 494.8008m}{3.1416 \cdot 45m}

Next Step Prepare to Evaluate

∴

S = \frac{8 \cdot 494.8008}{3.1416 \cdot 45}

Next Step Evaluate

∴

S = 27.9999999977143m

LAST Step Rounding Answer

∴

S = 28m

Isothermal Cylinder in Midplane of Infinite wall 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

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

Other Formulas to find Conduction Shape Factor

Go Two parallel Isothermal Cylinders placed in Infinite medium

S = \frac{2 \cdot π \cdot L c}{a} \cosh (\frac{4 \cdot d^{2} - {D 1}^{2} - {D 2}^{2}}{2 \cdot D 1 \cdot D 2})

Go Isothermal Sphere Buried in Infinite Medium

S = 4 \cdot π \cdot R s

Go Isothermal Ellipsoid Buried in Infinite Medium

S = \frac{4 \cdot π \cdot a \cdot \sqrt{1 - \frac{b}{a^{2}}}}{a \tanh (\sqrt{1 - \frac{b}{a^{2}}})}

How to Evaluate Isothermal Cylinder in Midplane of Infinite wall?

Isothermal Cylinder in Midplane of Infinite wall evaluator uses Conduction Shape Factor = (8*Distance from Surface to Centre of Object)/(pi*Diameter of Cylinder) to evaluate the Conduction Shape Factor, Isothermal Cylinder in Midplane of Infinite wall formula is defined as a measure of the heat transfer characteristics of a cylinder placed in the midplane of an infinite wall, providing a way to analyze and understand the thermal behavior of such systems in various engineering applications. Conduction Shape Factor is denoted by S symbol.

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

FAQs on Isothermal Cylinder in Midplane of Infinite wall

What is the formula to find Isothermal Cylinder in Midplane of Infinite wall?

The formula of Isothermal Cylinder in Midplane of Infinite wall is expressed as Conduction Shape Factor = (8*Distance from Surface to Centre of Object)/(pi*Diameter of Cylinder). Here is an example- 247.0588 = (8*494.8008429)/(pi*45).

How to calculate Isothermal Cylinder in Midplane of Infinite wall?

With Distance from Surface to Centre of Object (d_s) & Diameter of Cylinder (D) we can find Isothermal Cylinder in Midplane of Infinite wall using the formula - Conduction Shape Factor = (8*Distance from Surface to Centre of Object)/(pi*Diameter of Cylinder). 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)/acosh((4*Distance Between Centers^2-Diameter of Cylinder 1^2-Diameter of Cylinder 2^2)/(2*Diameter of Cylinder 1*Diameter of Cylinder 2))
Conduction Shape Factor=4*pi*Radius of Sphere
Conduction Shape Factor=(4*pi*Semi Major Axis of Ellipse*sqrt(1-Semi Minor Axis of Ellipse/Semi Major Axis of Ellipse^2))/(atanh(sqrt(1-Semi Minor Axis of Ellipse/Semi Major Axis of Ellipse^2)))

Can the Isothermal Cylinder in Midplane of Infinite wall be negative?

No, the Isothermal Cylinder in Midplane of Infinite wall, measured in Length cannot be negative.

Which unit is used to measure Isothermal Cylinder in Midplane of Infinite wall?

Isothermal Cylinder in Midplane of Infinite wall is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Isothermal Cylinder in Midplane of Infinite wall can be measured.

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Isothermal Cylinder in Midplane of Infinite wall Formula

​GoTwo parallel Isothermal Cylinders placed in Infinite medium Formula

​GoIsothermal Sphere Buried in Infinite Medium Formula

Isothermal Cylinder in Midplane of Infinite wall Example

Isothermal Cylinder in Midplane of Infinite wall Solution

Isothermal Cylinder in Midplane of Infinite wall Formula Elements

Other Formulas to find Conduction Shape Factor

How to Evaluate Isothermal Cylinder in Midplane of Infinite wall?

FAQs on Isothermal Cylinder in Midplane of Infinite wall

Variable Name

GoTwo parallel Isothermal Cylinders placed in Infinite medium Formula

GoIsothermal Sphere Buried in Infinite Medium Formula