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Two parallel Isothermal Cylinders placed in Infinite medium Formula

GoIsothermal Sphere Buried in Infinite Medium Formula

GoIsothermal Ellipsoid 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{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})

S - Conduction Shape Factor?L_c - Length of Cylinder?d - Distance Between Centers?D₁ - Diameter of Cylinder 1?D₂ - Diameter of Cylinder 2?π - Archimedes' constant?

Two parallel Isothermal Cylinders placed in Infinite medium Example

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Here is how the Two parallel Isothermal Cylinders placed in Infinite medium equation looks like with Values.

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Here is how the Two parallel Isothermal Cylinders placed in Infinite medium equation looks like.

28 = \frac{2 \cdot 3.1416 \cdot 4}{a} \cosh (\frac{4 \cdot {10.189}^{2} - {5.1}^{2} - {13.7392}^{2}}{2 \cdot 5.1 \cdot 13.7392})

28m = \frac{2 \cdot 3.1416 \cdot 4m}{a} \cosh (\frac{4 \cdot {10.189m}^{2} - {5.1m}^{2} - {13.7392m}^{2}}{2 \cdot 5.1m \cdot 13.7392m})

28 = \frac{2 \cdot 3.1416 \cdot 4}{a} \cosh (\frac{4 \cdot {10.189}^{2} - {5.1}^{2} - {13.7392}^{2}}{2 \cdot 5.1 \cdot 13.7392})

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Two parallel Isothermal Cylinders placed in Infinite medium Solution

Follow our step by step solution on how to calculate Two parallel Isothermal Cylinders placed in Infinite medium?

FIRST Step Consider the formula

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})

Next Step Substitute values of Variables

∴

S = \frac{2 \cdot π \cdot 4m}{a} \cosh (\frac{4 \cdot {10.189m}^{2} - {5.1m}^{2} - {13.7392m}^{2}}{2 \cdot 5.1m \cdot 13.7392m})

Next Step Substitute values of Constants

∴

S = \frac{2 \cdot 3.1416 \cdot 4m}{a} \cosh (\frac{4 \cdot {10.189m}^{2} - {5.1m}^{2} - {13.7392m}^{2}}{2 \cdot 5.1m \cdot 13.7392m})

Next Step Prepare to Evaluate

∴

S = \frac{2 \cdot 3.1416 \cdot 4}{a} \cosh (\frac{4 \cdot {10.189}^{2} - {5.1}^{2} - {13.7392}^{2}}{2 \cdot 5.1 \cdot 13.7392})

Next Step Evaluate

∴

S = 27.9999991358431m

LAST Step Rounding Answer

∴

S = 28m

Two parallel Isothermal Cylinders placed in 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

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 1

Diameter of Cylinder 1 is the diameter of the first cylinder.

Symbol: D₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Cylinder 1

Diameter of Cylinder 2

Diameter of Cylinder 2 is the diameter of the second cylinder.

Symbol: D₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Cylinder 2

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

cosh

The hyperbolic cosine function is a mathematical function that is defined as the ratio of the sum of the exponential functions of x and negative x to 2.

Syntax: cosh(Number)

acosh

Hyperbolic cosine function, is a function that takes a real number as an input and returns the angle whose hyperbolic cosine is that number.

Syntax: acosh(Number)

Other Formulas to find Conduction Shape Factor

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}}})}

Go Isothermal Cylinder in Midplane of Infinite wall

S = \frac{8 \cdot d s}{π \cdot D}

How to Evaluate Two parallel Isothermal Cylinders placed in Infinite medium?

Two parallel Isothermal Cylinders placed in Infinite medium evaluator uses 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)) to evaluate the Conduction Shape Factor, Two parallel Isothermal Cylinders placed in Infinite medium formula is defined as a mathematical model that determines the shape factor for heat transfer between two isothermal cylinders placed in an infinite medium, which is essential in calculating heat transfer rates in various engineering applications. Conduction Shape Factor is denoted by S symbol.

How to evaluate Two parallel Isothermal Cylinders placed in Infinite medium using this online evaluator? To use this online evaluator for Two parallel Isothermal Cylinders placed in Infinite medium, enter Length of Cylinder (L_c), Distance Between Centers (d), Diameter of Cylinder 1 (D₁) & Diameter of Cylinder 2 (D₂) and hit the calculate button.

FAQs on Two parallel Isothermal Cylinders placed in Infinite medium

What is the formula to find Two parallel Isothermal Cylinders placed in Infinite medium?

The formula of Two parallel Isothermal Cylinders placed in Infinite medium is expressed as 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)). Here is an example- 28.00001 = (2*pi*4)/acosh((4*10.1890145^2-5.1^2-13.739222^2)/(2*5.1*13.739222)).

How to calculate Two parallel Isothermal Cylinders placed in Infinite medium?

With Length of Cylinder (L_c), Distance Between Centers (d), Diameter of Cylinder 1 (D₁) & Diameter of Cylinder 2 (D₂) we can find Two parallel Isothermal Cylinders placed in Infinite medium using the formula - 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)). This formula also uses Archimedes' constant and , Hyperbolic Cosine (cosh), Inverse Hyperbolic Cosine (acosh) 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=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)))
Conduction Shape Factor=(8*Distance from Surface to Centre of Object)/(pi*Diameter of Cylinder)

Can the Two parallel Isothermal Cylinders placed in Infinite medium be negative?

No, the Two parallel Isothermal Cylinders placed in Infinite medium, measured in Length cannot be negative.

Which unit is used to measure Two parallel Isothermal Cylinders placed in Infinite medium?

Two parallel Isothermal Cylinders placed in Infinite medium is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Two parallel Isothermal Cylinders placed in Infinite medium can be measured.

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Two parallel Isothermal Cylinders placed in Infinite medium Formula

​GoIsothermal Sphere Buried in Infinite Medium Formula

​GoIsothermal Ellipsoid Buried in Infinite Medium Formula

Two parallel Isothermal Cylinders placed in Infinite medium Example

Two parallel Isothermal Cylinders placed in Infinite medium Solution

Two parallel Isothermal Cylinders placed in Infinite medium Formula Elements

Other Formulas to find Conduction Shape Factor

How to Evaluate Two parallel Isothermal Cylinders placed in Infinite medium?

FAQs on Two parallel Isothermal Cylinders placed in Infinite medium

Variable Name

GoIsothermal Sphere Buried in Infinite Medium Formula

GoIsothermal Ellipsoid Buried in Infinite Medium Formula