Long Hollow Cylindrical Layer Calculator

✖Length of Cylinder is the vertical height of the Cylinder.ⓘ Length of Cylinder [L_c]			+10% -10%
✖The Outer Radius of Cylinder is a straight line from the center to the Cylinder's base to outer surface of the Cylinder.ⓘ Outer Radius of Cylinder [r₂]			+10% -10%
✖The Inner Radius of Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder.ⓘ Inner Radius of Cylinder [r₁]			+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.ⓘ Long Hollow Cylindrical Layer [S]

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Formula

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Long Hollow Cylindrical Layer

Formula

`"S" = (2*pi*"L"_{"c"})/(ln("r"_{"2"}/"r"_{"1"}))`

Example

`"28m"=(2*pi*"4m")/(ln("13.994934m"/"5.7036m"))`

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Download Conduction Shape Factors for Different Configurations Formulas PDF PDF Image

Long Hollow Cylindrical Layer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Conduction Shape Factor = (2*pi*Length of Cylinder)/(ln(Outer Radius of Cylinder/Inner Radius of Cylinder))
S = (2*pi*L_c)/(ln(r₂/r₁))
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.
Outer Radius of Cylinder - (Measured in Meter) - The Outer Radius of Cylinder is a straight line from the center to the Cylinder's base to outer surface of the Cylinder.
Inner Radius of Cylinder - (Measured in Meter) - The Inner Radius of Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder.

STEP 1: Convert Input(s) to Base Unit

Length of Cylinder: 4 Meter --> 4 Meter No Conversion Required
Outer Radius of Cylinder: 13.994934 Meter --> 13.994934 Meter No Conversion Required
Inner Radius of Cylinder: 5.7036 Meter --> 5.7036 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = (2*pi*L_c)/(ln(r₂/r₁)) --> (2*pi*4)/(ln(13.994934/5.7036))

Evaluating ... ...

S = 28.0000015118406

STEP 3: Convert Result to Output's Unit

28.0000015118406 Meter --> No Conversion Required

FINAL ANSWER

28.0000015118406 ≈ 28 Meter <-- Conduction Shape Factor

(Calculation completed in 00.004 seconds)

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Created by Ravi Khiyani

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

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National Institute Of Technology (NIT), Hamirpur

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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

Long Hollow Cylindrical Layer Formula

Conduction Shape Factor = (2*pi*Length of Cylinder)/(ln(Outer Radius of Cylinder/Inner Radius of Cylinder))
S = (2*pi*L_c)/(ln(r₂/r₁))

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 Long Hollow Cylindrical Layer?

Long Hollow Cylindrical Layer calculator uses Conduction Shape Factor = (2*pi*Length of Cylinder)/(ln(Outer Radius of Cylinder/Inner Radius of Cylinder)) to calculate the Conduction Shape Factor, Long hollow cylindrical layer formula gives the shape factor for the hollow cylinder of a very long length. Conduction Shape Factor is denoted by S symbol.

How to calculate Long Hollow Cylindrical Layer using this online calculator? To use this online calculator for Long Hollow Cylindrical Layer, enter Length of Cylinder (L_c), Outer Radius of Cylinder (r₂) & Inner Radius of Cylinder (r₁) and hit the calculate button. Here is how the Long Hollow Cylindrical Layer calculation can be explained with given input values -> 91.7905 = (2*pi*4)/(ln(13.994934/5.7036)).

FAQ

What is Long Hollow Cylindrical Layer?

Long hollow cylindrical layer formula gives the shape factor for the hollow cylinder of a very long length and is represented as S = (2*pi*L_c)/(ln(r₂/r₁)) or Conduction Shape Factor = (2*pi*Length of Cylinder)/(ln(Outer Radius of Cylinder/Inner Radius of Cylinder)). Length of Cylinder is the vertical height of the Cylinder, The Outer Radius of Cylinder is a straight line from the center to the Cylinder's base to outer surface of the Cylinder & The Inner Radius of Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder.

How to calculate Long Hollow Cylindrical Layer?

Long hollow cylindrical layer formula gives the shape factor for the hollow cylinder of a very long length is calculated using Conduction Shape Factor = (2*pi*Length of Cylinder)/(ln(Outer Radius of Cylinder/Inner Radius of Cylinder)). To calculate Long Hollow Cylindrical Layer, you need Length of Cylinder (L_c), Outer Radius of Cylinder (r₂) & Inner Radius of Cylinder (r₁). With our tool, you need to enter the respective value for Length of Cylinder, Outer Radius of Cylinder & Inner Radius 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, Outer Radius of Cylinder & Inner Radius 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)/ln((1.08*Width of Square Bar)/Diameter of Cylinder)
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 = (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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