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Eccentric Isothermal Cylinder in Cylinder of Same Length Formula

GoIsothermal Cylinder at Center of Square Solid Bar of Same Length Formula

GoLarge Plane Wall 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{{D 1}^{2} + {D 2}^{2} - 4 \cdot z^{2}}{2 \cdot D 1 \cdot D 2})

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

Eccentric Isothermal Cylinder in Cylinder of Same Length Example

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Here is how the Eccentric Isothermal Cylinder in Cylinder of Same Length equation looks like with Values.

Here is how the Eccentric Isothermal Cylinder in Cylinder of Same Length equation looks like with Units.

Here is how the Eccentric Isothermal Cylinder in Cylinder of Same Length equation looks like.

28 = \frac{2 \cdot 3.1416 \cdot 4}{a} \cosh (\frac{{5.1}^{2} + {13.7392}^{2} - 4 \cdot {1.89}^{2}}{2 \cdot 5.1 \cdot 13.7392})

28m = \frac{2 \cdot 3.1416 \cdot 4m}{a} \cosh (\frac{{5.1m}^{2} + {13.7392m}^{2} - 4 \cdot {1.89m}^{2}}{2 \cdot 5.1m \cdot 13.7392m})

28 = \frac{2 \cdot 3.1416 \cdot 4}{a} \cosh (\frac{{5.1}^{2} + {13.7392}^{2} - 4 \cdot {1.89}^{2}}{2 \cdot 5.1 \cdot 13.7392})

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Eccentric Isothermal Cylinder in Cylinder of Same Length Solution

Follow our step by step solution on how to calculate Eccentric Isothermal Cylinder in Cylinder of Same Length?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = \frac{2 \cdot π \cdot 4m}{a} \cosh (\frac{{5.1m}^{2} + {13.7392m}^{2} - 4 \cdot {1.89m}^{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{{5.1m}^{2} + {13.7392m}^{2} - 4 \cdot {1.89m}^{2}}{2 \cdot 5.1m \cdot 13.7392m})

Next Step Prepare to Evaluate

∴

S = \frac{2 \cdot 3.1416 \cdot 4}{a} \cosh (\frac{{5.1}^{2} + {13.7392}^{2} - 4 \cdot {1.89}^{2}}{2 \cdot 5.1 \cdot 13.7392})

Next Step Evaluate

∴

S = 28.0000042693262m

LAST Step Rounding Answer

∴

S = 28m

Eccentric Isothermal Cylinder in Cylinder of Same Length 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

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

Eccentric Distance Between Objects

Eccentric Distance between Objects is the radial length from the center of one object which is at some distance from the center of another object.

Symbol: z

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Eccentric Distance Between Objects

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 Cylinder at Center of Square Solid Bar of Same Length

S = \frac{2 \cdot π \cdot L c}{\ln (\frac{1.08 \cdot w}{D})}

Go Large Plane Wall

S = \frac{A}{t}

Go Long Hollow Cylindrical Layer

S = \frac{2 \cdot π \cdot L c}{\ln (\frac{r 2}{r 1})}

Go Hollow Spherical Layer

S = \frac{4 \cdot π \cdot r i \cdot r o}{r o - r i}

How to Evaluate Eccentric Isothermal Cylinder in Cylinder of Same Length?

Eccentric Isothermal Cylinder in Cylinder of Same Length evaluator uses Conduction Shape Factor = (2*pi*Length of Cylinder)/acosh((Diameter of Cylinder 1^2+Diameter of Cylinder 2^2-4*Eccentric Distance Between Objects^2)/(2*Diameter of Cylinder 1*Diameter of Cylinder 2)) to evaluate the Conduction Shape Factor, Eccentric Isothermal Cylinder in Cylinder of Same Length formula is defined as a mathematical representation that determines the surface area of a cylinder within another cylinder of the same length, considering the eccentricity and isothermal properties of the cylinders. Conduction Shape Factor is denoted by S symbol.

How to evaluate Eccentric Isothermal Cylinder in Cylinder of Same Length using this online evaluator? To use this online evaluator for Eccentric Isothermal Cylinder in Cylinder of Same Length, enter Length of Cylinder (L_c), Diameter of Cylinder 1 (D₁), Diameter of Cylinder 2 (D₂) & Eccentric Distance Between Objects (z) and hit the calculate button.

FAQs on Eccentric Isothermal Cylinder in Cylinder of Same Length

What is the formula to find Eccentric Isothermal Cylinder in Cylinder of Same Length?

The formula of Eccentric Isothermal Cylinder in Cylinder of Same Length is expressed as Conduction Shape Factor = (2*pi*Length of Cylinder)/acosh((Diameter of Cylinder 1^2+Diameter of Cylinder 2^2-4*Eccentric Distance Between Objects^2)/(2*Diameter of Cylinder 1*Diameter of Cylinder 2)). Here is an example- 58.01586 = (2*pi*4)/acosh((5.1^2+13.739222^2-4*1.89^2)/(2*5.1*13.739222)).

How to calculate Eccentric Isothermal Cylinder in Cylinder of Same Length?

With Length of Cylinder (L_c), Diameter of Cylinder 1 (D₁), Diameter of Cylinder 2 (D₂) & Eccentric Distance Between Objects (z) we can find Eccentric Isothermal Cylinder in Cylinder of Same Length using the formula - Conduction Shape Factor = (2*pi*Length of Cylinder)/acosh((Diameter of Cylinder 1^2+Diameter of Cylinder 2^2-4*Eccentric Distance Between Objects^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=(2*pi*Length of Cylinder)/ln((1.08*Width of Square Bar)/Diameter of Cylinder)
Conduction Shape Factor=Cross-Sectional Area/Thickness
Conduction Shape Factor=(2*pi*Length of Cylinder)/(ln(Outer Radius of Cylinder/Inner Radius of Cylinder))

Can the Eccentric Isothermal Cylinder in Cylinder of Same Length be negative?

No, the Eccentric Isothermal Cylinder in Cylinder of Same Length, measured in Length cannot be negative.

Which unit is used to measure Eccentric Isothermal Cylinder in Cylinder of Same Length?

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

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Eccentric Isothermal Cylinder in Cylinder of Same Length Formula

​GoIsothermal Cylinder at Center of Square Solid Bar of Same Length Formula

​GoLarge Plane Wall Formula

Eccentric Isothermal Cylinder in Cylinder of Same Length Example

Eccentric Isothermal Cylinder in Cylinder of Same Length Solution

Eccentric Isothermal Cylinder in Cylinder of Same Length Formula Elements

Other Formulas to find Conduction Shape Factor

How to Evaluate Eccentric Isothermal Cylinder in Cylinder of Same Length?

FAQs on Eccentric Isothermal Cylinder in Cylinder of Same Length

Variable Name

GoIsothermal Cylinder at Center of Square Solid Bar of Same Length Formula

GoLarge Plane Wall Formula