Isothermal Cylinder in Midplane of Infinite wall Calculator

✖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 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 in Midplane of Infinite wall [S]

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Formula

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Isothermal Cylinder in Midplane of Infinite wall

Formula

`"S" = (8*"d"_{"s"})/(pi*"D")`

Example

`"28m"=(8*"494.8008429m")/(pi*"45m")`

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Download Conduction Shape Factors for Different Configurations Formulas PDF

Isothermal Cylinder in Midplane of Infinite wall Solution

STEP 0: Pre-Calculation Summary

Formula Used

Conduction Shape Factor = (8*Distance from Surface to Centre of Object)/(pi*Diameter of Cylinder)
S = (8*d_s)/(pi*D)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
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

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

S = (8*d_s)/(pi*D) --> (8*494.8008429)/(pi*45)

Evaluating ... ...

S = 27.9999999977143

STEP 3: Convert Result to Output's Unit

27.9999999977143 Meter --> No Conversion Required

FINAL ANSWER

27.9999999977143 ≈ 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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Vishwakarma University (VU), Pune

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< 4 Infinite Medium Calculators

Isothermal Ellipsoid Buried in Infinite Medium

Go Conduction Shape Factor = (4*pi*Semi Major Axis of Ellipse*sqrt(1-Semi Minor Axis of Ellipse/Semi Major Axis of Ellipse^2))/(atanh(sqrt(1-Semi Minor Axis of Ellipse/Semi Major Axis of Ellipse^2)))

Two parallel Isothermal Cylinders placed in Infinite medium

Go Conduction Shape Factor = (2*pi*Length of Cylinder)/acosh((4*Distance Between Centers^2-Diameter of Cylinder 1^2-Diameter of Cylinder 2^2)/(2*Diameter of Cylinder 1*Diameter of Cylinder 2))

Isothermal Cylinder in Midplane of Infinite wall

Go Conduction Shape Factor = (8*Distance from Surface to Centre of Object)/(pi*Diameter of Cylinder)

Isothermal Sphere Buried in Infinite Medium

Go Conduction Shape Factor = 4*pi*Radius of Sphere

Isothermal Cylinder in Midplane of Infinite wall Formula

Conduction Shape Factor = (8*Distance from Surface to Centre of Object)/(pi*Diameter of Cylinder)
S = (8*d_s)/(pi*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 in Midplane of Infinite wall?

Isothermal Cylinder in Midplane of Infinite wall calculator uses Conduction Shape Factor = (8*Distance from Surface to Centre of Object)/(pi*Diameter of Cylinder) to calculate the Conduction Shape Factor, Isothermal Cylinder in Midplane of Infinite wall formula gives the shape factor when a cylinder of length L is placed in the midplane of an infinite wall for heat conduction. Conduction Shape Factor is denoted by S symbol.

How to calculate Isothermal Cylinder in Midplane of Infinite wall using this online calculator? To use this online calculator for Isothermal Cylinder in Midplane of Infinite wall, enter Distance from Surface to Centre of Object (d_s) & Diameter of Cylinder (D) and hit the calculate button. Here is how the Isothermal Cylinder in Midplane of Infinite wall calculation can be explained with given input values -> 247.0588 = (8*494.8008429)/(pi*45).

FAQ

What is Isothermal Cylinder in Midplane of Infinite wall?

Isothermal Cylinder in Midplane of Infinite wall formula gives the shape factor when a cylinder of length L is placed in the midplane of an infinite wall for heat conduction and is represented as S = (8*d_s)/(pi*D) or Conduction Shape Factor = (8*Distance from Surface to Centre of Object)/(pi*Diameter of 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 in Midplane of Infinite wall?

Isothermal Cylinder in Midplane of Infinite wall formula gives the shape factor when a cylinder of length L is placed in the midplane of an infinite wall for heat conduction is calculated using Conduction Shape Factor = (8*Distance from Surface to Centre of Object)/(pi*Diameter of Cylinder). To calculate Isothermal Cylinder in Midplane of Infinite wall, you need Distance from Surface to Centre of Object (d_s) & Diameter of Cylinder (D). With our tool, you need to enter the respective value for 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.

How many ways are there to calculate Conduction Shape Factor?

In this formula, Conduction Shape Factor uses Distance from Surface to Centre of Object & Diameter of Cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -

Conduction Shape Factor = (2*pi*Length of Cylinder)/acosh((4*Distance Between Centers^2-Diameter of Cylinder 1^2-Diameter of Cylinder 2^2)/(2*Diameter of Cylinder 1*Diameter of Cylinder 2))
Conduction Shape Factor = 4*pi*Radius of Sphere
Conduction Shape Factor = (4*pi*Semi Major Axis of Ellipse*sqrt(1-Semi Minor Axis of Ellipse/Semi Major Axis of Ellipse^2))/(atanh(sqrt(1-Semi Minor Axis of Ellipse/Semi Major Axis of Ellipse^2)))

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