Vertical Isothermal Cylinder Buried in Semi-Infinite Medium Calculator

✖Length of Cylinder 1 is the vertical height of the Cylinder.ⓘ Length of Cylinder 1 [l_c]			+10% -10%
✖Diameter of Cylinder 1 is the diameter of the first cylinder.ⓘ Diameter of Cylinder 1 [D₁]			+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.ⓘ Vertical Isothermal Cylinder Buried in Semi-Infinite Medium [S]

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Formula

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Vertical Isothermal Cylinder Buried in Semi-Infinite Medium

Formula

`"S" = (2*pi*"l"_{"c"})/(ln((4*"l"_{"c"})/"D"_{"1"}))`

Example

`"28m"=(2*pi*"8.40313m")/(ln((4*"8.40313m")/"5.1m"))`

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Download Conduction Shape Factors for Different Configurations Formulas PDF

Vertical Isothermal Cylinder Buried in Semi-Infinite Medium Solution

STEP 0: Pre-Calculation Summary

Formula Used

Conduction Shape Factor = (2*pi*Length of Cylinder 1)/(ln((4*Length of Cylinder 1)/Diameter of Cylinder 1))
S = (2*pi*l_c)/(ln((4*l_c)/D₁))
This formula uses 1 Constants, 1 Functions, 3 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 1 - (Measured in Meter) - Length of Cylinder 1 is the vertical height of the Cylinder.
Diameter of Cylinder 1 - (Measured in Meter) - Diameter of Cylinder 1 is the diameter of the first cylinder.

STEP 1: Convert Input(s) to Base Unit

Length of Cylinder 1: 8.40313 Meter --> 8.40313 Meter No Conversion Required
Diameter of Cylinder 1: 5.1 Meter --> 5.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = (2*pi*l_c)/(ln((4*l_c)/D₁)) --> (2*pi*8.40313)/(ln((4*8.40313)/5.1))

Evaluating ... ...

S = 27.9999983017307

STEP 3: Convert Result to Output's Unit

27.9999983017307 Meter --> No Conversion Required

FINAL ANSWER

27.9999983017307 ≈ 28 Meter <-- Conduction Shape Factor

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Conduction » Conduction Shape Factors for Different Configurations » Semi-Infinite Medium » Vertical Isothermal Cylinder Buried in Semi-Infinite Medium

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Created by Ravi Khiyani

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

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< 8 Semi-Infinite Medium Calculators

Row of Equally Spaced Parallel Isothermal Cylinders Buried in Semi-infinite Medium

Go Conduction Shape Factor 2 = (2*pi*Length of Cylinder)/(ln((2*Distance Between Centers)/(pi*Diameter of Cylinder)*sinh((2*pi*Distance from Surface to Centre of Object)/Distance Between Centers)))

Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium

Go Conduction Shape Factor = 1.685*Length of Parallelepiped*(log10(1+Distance from Surface to Surface of Object/Width of Parallelepiped))^(-0.59)*(Distance from Surface to Surface of Object/Height of Parallelepiped)^(-0.078)

Isothermal Cylinder Buried in Semi-Infinite Medium

Go Conduction Shape Factor 1 = (2*pi*Length of Cylinder)/(ln((4*Distance from Surface to Centre of Object)/Diameter of Cylinder))

Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated

Go Conduction Shape Factor = (2*pi*Diameter of Sphere Insulated)/(1+(0.25*Diameter of Sphere Insulated)/Distance from Surface to Centre of Object)

Vertical Isothermal Cylinder Buried in Semi-Infinite Medium

Go Conduction Shape Factor = (2*pi*Length of Cylinder 1)/(ln((4*Length of Cylinder 1)/Diameter of Cylinder 1))

Isothermal Sphere Buried in Semi-Infinite Medium

Go Conduction Shape Factor = (2*pi*Diameter of Sphere)/(1-((0.25*Diameter of Sphere)/Distance from Surface to Centre of Object))

Thin Rectangular Plate Buried in Semi-Infinite Medium

Go Conduction Shape Factor = (2*pi*Width of Plate)/ln((4*Width of Plate)/Length of Plate)

Disk Buried Parallel to Suface in Semi-Infinite Medium

Go Conduction Shape Factor = 4*Diameter of Disk

Vertical Isothermal Cylinder Buried in Semi-Infinite Medium Formula

Conduction Shape Factor = (2*pi*Length of Cylinder 1)/(ln((4*Length of Cylinder 1)/Diameter of Cylinder 1))
S = (2*pi*l_c)/(ln((4*l_c)/D₁))

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 Vertical Isothermal Cylinder Buried in Semi-Infinite Medium?

Vertical Isothermal Cylinder Buried in Semi-Infinite Medium calculator uses Conduction Shape Factor = (2*pi*Length of Cylinder 1)/(ln((4*Length of Cylinder 1)/Diameter of Cylinder 1)) to calculate the Conduction Shape Factor, The Vertical isothermal cylinder buried in semi-infinite medium formula gives the value of shape factor when a vertical cylinder of length L is buried in a semi-infinite medium for heat conduction. Conduction Shape Factor is denoted by S symbol.

How to calculate Vertical Isothermal Cylinder Buried in Semi-Infinite Medium using this online calculator? To use this online calculator for Vertical Isothermal Cylinder Buried in Semi-Infinite Medium, enter Length of Cylinder 1 (l_c) & Diameter of Cylinder 1 (D₁) and hit the calculate button. Here is how the Vertical Isothermal Cylinder Buried in Semi-Infinite Medium calculation can be explained with given input values -> 26.81966 = (2*pi*8.40313)/(ln((4*8.40313)/5.1)).

FAQ

What is Vertical Isothermal Cylinder Buried in Semi-Infinite Medium?

The Vertical isothermal cylinder buried in semi-infinite medium formula gives the value of shape factor when a vertical cylinder of length L is buried in a semi-infinite medium for heat conduction and is represented as S = (2*pi*l_c)/(ln((4*l_c)/D₁)) or Conduction Shape Factor = (2*pi*Length of Cylinder 1)/(ln((4*Length of Cylinder 1)/Diameter of Cylinder 1)). Length of Cylinder 1 is the vertical height of the Cylinder & Diameter of Cylinder 1 is the diameter of the first cylinder.

How to calculate Vertical Isothermal Cylinder Buried in Semi-Infinite Medium?

The Vertical isothermal cylinder buried in semi-infinite medium formula gives the value of shape factor when a vertical cylinder of length L is buried in a semi-infinite medium for heat conduction is calculated using Conduction Shape Factor = (2*pi*Length of Cylinder 1)/(ln((4*Length of Cylinder 1)/Diameter of Cylinder 1)). To calculate Vertical Isothermal Cylinder Buried in Semi-Infinite Medium, you need Length of Cylinder 1 (l_c) & Diameter of Cylinder 1 (D₁). With our tool, you need to enter the respective value for Length of Cylinder 1 & Diameter of Cylinder 1 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 1 & Diameter of Cylinder 1. We can use 5 other way(s) to calculate the same, which is/are as follows -

Conduction Shape Factor = (2*pi*Width of Plate)/ln((4*Width of Plate)/Length of Plate)
Conduction Shape Factor = (2*pi*Diameter of Sphere Insulated)/(1+(0.25*Diameter of Sphere Insulated)/Distance from Surface to Centre of Object)
Conduction Shape Factor = (2*pi*Diameter of Sphere)/(1-((0.25*Diameter of Sphere)/Distance from Surface to Centre of Object))
Conduction Shape Factor = 1.685*Length of Parallelepiped*(log10(1+Distance from Surface to Surface of Object/Width of Parallelepiped))^(-0.59)*(Distance from Surface to Surface of Object/Height of Parallelepiped)^(-0.078)
Conduction Shape Factor = 4*Diameter of Disk

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