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

✖Length of Cylinder is the vertical height of the Cylinder.ⓘ Length of Cylinder [L_c]			+10% -10%
✖Width of Square Bar is length of the side of cross-section of the square bar.ⓘ Width of Square Bar [w]			+10% -10%
✖The Diameter of Cylinder is the maximum width of cylinder in transverse direction.ⓘ Diameter of Cylinder [D]			+10% -10%

✖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.ⓘ Isothermal Cylinder at Center of Square Solid Bar of Same Length [S]

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Formula

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Isothermal Cylinder at Center of Square Solid Bar of Same Length

Formula

`"S" = (2*pi*"L"_{"c"})/ln((1.08*"w")/"D")`

Example

`"28m"=(2*pi*"4m")/ln((1.08*"102.23759m")/"45m")`

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Download Conduction Shape Factors for Different Configurations Formulas PDF

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

STEP 0: Pre-Calculation Summary

Formula Used

Conduction Shape Factor = (2*pi*Length of Cylinder)/ln((1.08*Width of Square Bar)/Diameter of Cylinder)
S = (2*pi*L_c)/ln((1.08*w)/D)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Conduction Shape Factor - (Measured in Meter) - 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.
Length of Cylinder - (Measured in Meter) - Length of Cylinder is the vertical height of the Cylinder.
Width of Square Bar - (Measured in Meter) - Width of Square Bar is length of the side of cross-section of the square bar.
Diameter of Cylinder - (Measured in Meter) - The Diameter of Cylinder is the maximum width of cylinder in transverse direction.

STEP 1: Convert Input(s) to Base Unit

Length of Cylinder: 4 Meter --> 4 Meter No Conversion Required
Width of Square Bar: 102.23759 Meter --> 102.23759 Meter No Conversion Required
Diameter of Cylinder: 45 Meter --> 45 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = (2*pi*L_c)/ln((1.08*w)/D) --> (2*pi*4)/ln((1.08*102.23759)/45)

Evaluating ... ...

S = 27.9999978568199

STEP 3: Convert Result to Output's Unit

27.9999978568199 Meter --> No Conversion Required

FINAL ANSWER

27.9999978568199 ≈ 28 Meter <-- Conduction Shape Factor

(Calculation completed in 00.020 seconds)

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Created by Ravi Khiyani

Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore

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< 9 Conduction Shape Factors for Different Configurations Calculators

Eccentric Isothermal Cylinder in Cylinder of Same Length

Go 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))

Long Hollow Cylindrical Layer

Go Conduction Shape Factor = (2*pi*Length of Cylinder)/(ln(Outer Radius of Cylinder/Inner Radius of Cylinder))

Isothermal Cylinder at Center of Square Solid Bar of Same Length

Go Conduction Shape Factor = (2*pi*Length of Cylinder)/ln((1.08*Width of Square Bar)/Diameter of Cylinder)

Square Flow Passage with Width to b Ratio Greater than 1.4

Go Conduction Shape Factor = (2*pi*Length of Pipe)/(0.93*ln(0.948*Outer Width 1/Inner Width 1))

Square Flow Passage with Width to b Ratio Less than 1.4

Go Conduction Shape Factor = (2*pi*Length of Pipe)/(0.785*ln(Outer Width 2/Inner Width 2))

Hollow Spherical Layer

Go Conduction Shape Factor = (4*pi*Inner Radius*Outer Radius)/(Outer Radius-Inner Radius)

Large Plane Wall

Go Conduction Shape Factor = Cross-Sectional Area/Thickness

Corner of Three Walls of Equal Thickness

Go Conduction Shape Factor = 0.15*Thickness of Wall

Conduction through Edge of Two Adjoining Walls of Equal Thickness

Go Conduction Shape Factor = 0.54*Length of Wall

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

Conduction Shape Factor = (2*pi*Length of Cylinder)/ln((1.08*Width of Square Bar)/Diameter of Cylinder)
S = (2*pi*L_c)/ln((1.08*w)/D)

Why we use conduction shape factor?

Conduction shape factors are generally used when the geometries and configurations of the system are complex which makes the calculation of heat transfer very difficult.

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

Isothermal Cylinder at Center of Square Solid Bar of Same Length calculator uses Conduction Shape Factor = (2*pi*Length of Cylinder)/ln((1.08*Width of Square Bar)/Diameter of Cylinder) to calculate the Conduction Shape Factor, The Isothermal cylinder at center of square solid bar of same length formula gives the shape factor when a cylinder is placed at the center of a solid square bar for heat conduction. Both cylinder and square bar is of the same length. Conduction Shape Factor is denoted by S symbol.

How to calculate Isothermal Cylinder at Center of Square Solid Bar of Same Length using this online calculator? To use this online calculator 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. Here is how the Isothermal Cylinder at Center of Square Solid Bar of Same Length calculation can be explained with given input values -> 8.173196 = (2*pi*4)/ln((1.08*102.23759)/45).

FAQ

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

The Isothermal cylinder at center of square solid bar of same length formula gives the shape factor when a cylinder is placed at the center of a solid square bar for heat conduction. Both cylinder and square bar is of the same length and is represented as S = (2*pi*L_c)/ln((1.08*w)/D) or Conduction Shape Factor = (2*pi*Length of Cylinder)/ln((1.08*Width of Square Bar)/Diameter of Cylinder). Length of Cylinder is the vertical height of the Cylinder, Width of Square Bar is length of the side of cross-section of the square bar & The Diameter of Cylinder is the maximum width of cylinder in transverse direction.

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

The Isothermal cylinder at center of square solid bar of same length formula gives the shape factor when a cylinder is placed at the center of a solid square bar for heat conduction. Both cylinder and square bar is of the same length is calculated using Conduction Shape Factor = (2*pi*Length of Cylinder)/ln((1.08*Width of Square Bar)/Diameter of Cylinder). To calculate Isothermal Cylinder at Center of Square Solid Bar of Same Length, you need Length of Cylinder (L_c), Width of Square Bar (w) & Diameter of Cylinder (D). With our tool, you need to enter the respective value for Length of Cylinder, Width of Square Bar & Diameter of Cylinder and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Conduction Shape Factor?

In this formula, Conduction Shape Factor uses Length of Cylinder, Width of Square Bar & Diameter of Cylinder. We can use 8 other way(s) to calculate the same, which is/are as follows -

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))
Conduction Shape Factor = (4*pi*Inner Radius*Outer Radius)/(Outer Radius-Inner Radius)
Conduction Shape Factor = (2*pi*Length of Pipe)/(0.93*ln(0.948*Outer Width 1/Inner Width 1))
Conduction Shape Factor = (2*pi*Length of Pipe)/(0.785*ln(Outer Width 2/Inner Width 2))
Conduction Shape Factor = 0.15*Thickness of Wall
Conduction Shape Factor = 0.54*Length of Wall

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