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

GoEccentric Isothermal Cylinder in Cylinder 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}{\ln (\frac{1.08 \cdot w}{D})}

S - Conduction Shape Factor?L_c - Length of Cylinder?w - Width of Square Bar?D - Diameter of Cylinder?π - Archimedes' constant?

Isothermal Cylinder at Center of Square Solid Bar of Same Length Example

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Here is how the Isothermal Cylinder at Center of Square Solid Bar of Same Length equation looks like with Values.

Here is how the Isothermal Cylinder at Center of Square Solid Bar of Same Length equation looks like with Units.

Here is how the Isothermal Cylinder at Center of Square Solid Bar of Same Length equation looks like.

28 = \frac{2 \cdot 3.1416 \cdot 4}{\ln (\frac{1.08 \cdot 102.2376}{45})}

28m = \frac{2 \cdot 3.1416 \cdot 4m}{\ln (\frac{1.08 \cdot 102.2376m}{45m})}

28 = \frac{2 \cdot 3.1416 \cdot 4}{\ln (\frac{1.08 \cdot 102.2376}{45})}

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Isothermal Cylinder at Center of Square Solid Bar of Same Length Solution

Follow our step by step solution on how to calculate Isothermal Cylinder at Center of Square Solid Bar of Same Length?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = \frac{2 \cdot π \cdot 4m}{\ln (\frac{1.08 \cdot 102.2376m}{45m})}

Next Step Substitute values of Constants

∴

S = \frac{2 \cdot 3.1416 \cdot 4m}{\ln (\frac{1.08 \cdot 102.2376m}{45m})}

Next Step Prepare to Evaluate

∴

S = \frac{2 \cdot 3.1416 \cdot 4}{\ln (\frac{1.08 \cdot 102.2376}{45})}

Next Step Evaluate

∴

S = 27.9999978568199m

LAST Step Rounding Answer

∴

S = 28m

Isothermal Cylinder at Center of Square Solid Bar 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

Width of Square Bar

Width of Square Bar is length of the side of cross-section of the square bar.

Symbol: w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Square Bar

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 to find Conduction Shape Factor

Go Eccentric Isothermal Cylinder in Cylinder of Same Length

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})

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 Isothermal Cylinder at Center of Square Solid Bar of Same Length?

Isothermal Cylinder at Center of Square Solid Bar of Same Length evaluator uses Conduction Shape Factor = (2*pi*Length of Cylinder)/ln((1.08*Width of Square Bar)/Diameter of Cylinder) to evaluate the Conduction Shape Factor, Isothermal Cylinder at Center of Square Solid Bar of Same Length formula is defined as a mathematical representation of the thermal resistance of a cylinder placed at the center of a square solid bar of the same length, which is essential in heat transfer analysis and thermal management applications. Conduction Shape Factor is denoted by S symbol.

How to evaluate Isothermal Cylinder at Center of Square Solid Bar of Same Length using this online evaluator? To use this online evaluator for Isothermal Cylinder at Center of Square Solid Bar of Same Length, enter Length of Cylinder (L_c), Width of Square Bar (w) & Diameter of Cylinder (D) and hit the calculate button.

FAQs on Isothermal Cylinder at Center of Square Solid Bar of Same Length

What is the formula to find Isothermal Cylinder at Center of Square Solid Bar of Same Length?

The formula of Isothermal Cylinder at Center of Square Solid Bar of Same Length is expressed as Conduction Shape Factor = (2*pi*Length of Cylinder)/ln((1.08*Width of Square Bar)/Diameter of Cylinder). Here is an example- 8.173196 = (2*pi*4)/ln((1.08*102.23759)/45).

How to calculate Isothermal Cylinder at Center of Square Solid Bar of Same Length?

With Length of Cylinder (L_c), Width of Square Bar (w) & Diameter of Cylinder (D) we can find Isothermal Cylinder at Center of Square Solid Bar of Same Length using the formula - Conduction Shape Factor = (2*pi*Length of Cylinder)/ln((1.08*Width of Square Bar)/Diameter of Cylinder). This formula also uses Archimedes' constant and Natural Logarithm (ln) 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)/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))
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 Isothermal Cylinder at Center of Square Solid Bar of Same Length be negative?

No, the Isothermal Cylinder at Center of Square Solid Bar of Same Length, measured in Length cannot be negative.

Which unit is used to measure Isothermal Cylinder at Center of Square Solid Bar of Same Length?

Isothermal Cylinder at Center of Square Solid Bar 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 Isothermal Cylinder at Center of Square Solid Bar of Same Length can be measured.

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

​GoEccentric Isothermal Cylinder in Cylinder of Same Length Formula

​GoLarge Plane Wall Formula

Isothermal Cylinder at Center of Square Solid Bar of Same Length Example

Isothermal Cylinder at Center of Square Solid Bar of Same Length Solution

Isothermal Cylinder at Center of Square Solid Bar of Same Length Formula Elements

Other Formulas to find Conduction Shape Factor

How to Evaluate Isothermal Cylinder at Center of Square Solid Bar of Same Length?

FAQs on Isothermal Cylinder at Center of Square Solid Bar of Same Length

Variable Name

GoEccentric Isothermal Cylinder in Cylinder of Same Length Formula

GoLarge Plane Wall Formula