Isothermal Cylinder Buried in Semi-Infinite Medium Calculator

✖Length of Cylinder is the vertical height of the Cylinder.ⓘ Length of Cylinder [L_c]			+10% -10%
✖Distance from surface to centre of object is the distance between the surface and the center of the object.ⓘ Distance from Surface to Centre of Object [d_s]			+10% -10%
✖The Diameter of Cylinder is the maximum width of cylinder in transverse direction.ⓘ Diameter of Cylinder [D]			+10% -10%

✖Conduction shape factor 1 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 Buried in Semi-Infinite Medium [S₁]

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Isothermal Cylinder Buried in Semi-Infinite Medium Solution

STEP 0: Pre-Calculation Summary

Formula Used

Conduction Shape Factor 1 = (2*pi*Length of Cylinder)/(ln((4*Distance from Surface to Centre of Object)/Diameter of Cylinder))
S₁ = (2*pi*L_c)/(ln((4*d_s)/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 1 - (Measured in Meter) - Conduction shape factor 1 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.
Distance from Surface to Centre of Object - (Measured in Meter) - Distance from surface to centre of object is the distance between the surface and the center of the object.
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
Distance from Surface to Centre of Object: 494.8008429 Meter --> 494.8008429 Meter No Conversion Required
Diameter of Cylinder: 45 Meter --> 45 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S₁ = (2*pi*L_c)/(ln((4*d_s)/D)) --> (2*pi*4)/(ln((4*494.8008429)/45))

Evaluating ... ...

S₁ = 6.64221844361145

STEP 3: Convert Result to Output's Unit

6.64221844361145 Meter --> No Conversion Required

FINAL ANSWER

6.64221844361145 ≈ 6.642218 Meter <-- Conduction Shape Factor 1

(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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< Semi Infinite Medium Calculators

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

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

LaTeX 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

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

Thin Rectangular Plate Buried in Semi-Infinite Medium

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

Isothermal Cylinder Buried in Semi-Infinite Medium Formula

LaTeX Go

Conduction Shape Factor 1 = (2*pi*Length of Cylinder)/(ln((4*Distance from Surface to Centre of Object)/Diameter of Cylinder))
S₁ = (2*pi*L_c)/(ln((4*d_s)/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 Buried in Semi-Infinite Medium?

Isothermal Cylinder Buried in Semi-Infinite Medium calculator uses Conduction Shape Factor 1 = (2*pi*Length of Cylinder)/(ln((4*Distance from Surface to Centre of Object)/Diameter of Cylinder)) to calculate the Conduction Shape Factor 1, Isothermal Cylinder Buried in Semi-Infinite Medium formula is defined as a measure of the heat transfer rate from a cylinder buried in a semi-infinite medium, taking into account the cylinder's length, diameter, and the distance from the surface of the medium. Conduction Shape Factor 1 is denoted by S₁ symbol.

How to calculate Isothermal Cylinder Buried in Semi-Infinite Medium using this online calculator? To use this online calculator for Isothermal Cylinder Buried in Semi-Infinite Medium, enter Length of Cylinder (L_c), Distance from Surface to Centre of Object (d_s) & Diameter of Cylinder (D) and hit the calculate button. Here is how the Isothermal Cylinder Buried in Semi-Infinite Medium calculation can be explained with given input values -> 4.216048 = (2*pi*4)/(ln((4*494.8008429)/45)).

FAQ

What is Isothermal Cylinder Buried in Semi-Infinite Medium?

Isothermal Cylinder Buried in Semi-Infinite Medium formula is defined as a measure of the heat transfer rate from a cylinder buried in a semi-infinite medium, taking into account the cylinder's length, diameter, and the distance from the surface of the medium and is represented as S₁ = (2*pi*L_c)/(ln((4*d_s)/D)) or Conduction Shape Factor 1 = (2*pi*Length of Cylinder)/(ln((4*Distance from Surface to Centre of Object)/Diameter of Cylinder)). Length of Cylinder is the vertical height of the Cylinder, Distance from surface to centre of object is the distance between the surface and the center of the object & The Diameter of Cylinder is the maximum width of cylinder in transverse direction.

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

Isothermal Cylinder Buried in Semi-Infinite Medium formula is defined as a measure of the heat transfer rate from a cylinder buried in a semi-infinite medium, taking into account the cylinder's length, diameter, and the distance from the surface of the medium is calculated using Conduction Shape Factor 1 = (2*pi*Length of Cylinder)/(ln((4*Distance from Surface to Centre of Object)/Diameter of Cylinder)). To calculate Isothermal Cylinder Buried in Semi-Infinite Medium, you need Length of Cylinder (L_c), Distance from Surface to Centre of Object (d_s) & Diameter of Cylinder (D). With our tool, you need to enter the respective value for Length of Cylinder, Distance from Surface to Centre of Object & Diameter of Cylinder and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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