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

STEP 0: Pre-Calculation Summary
Formula Used
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)))
S2 = (2*pi*Lc)/(ln((2*d)/(pi*D)*sinh((2*pi*ds)/d)))
This formula uses 1 Constants, 2 Functions, 5 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)
sinh - The hyperbolic sine function, also known as the sinh function, is a mathematical function that is defined as the hyperbolic analogue of the sine function., sinh(Number)
Variables Used
Conduction Shape Factor 2 - (Measured in Meter) - Conduction shape factor 2 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 Between Centers - (Measured in Meter) - Distance between centers is the distance between two centers of circle.
Diameter of Cylinder - (Measured in Meter) - The Diameter of Cylinder is the maximum width of cylinder in transverse direction.
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.
STEP 1: Convert Input(s) to Base Unit
Length of Cylinder: 4 Meter --> 4 Meter No Conversion Required
Distance Between Centers: 10.1890145 Meter --> 10.1890145 Meter No Conversion Required
Diameter of Cylinder: 45 Meter --> 45 Meter No Conversion Required
Distance from Surface to Centre of Object: 494.8008429 Meter --> 494.8008429 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S2 = (2*pi*Lc)/(ln((2*d)/(pi*D)*sinh((2*pi*ds)/d))) --> (2*pi*4)/(ln((2*10.1890145)/(pi*45)*sinh((2*pi*494.8008429)/10.1890145)))
Evaluating ... ...
S2 = 0.0830847749786822
STEP 3: Convert Result to Output's Unit
0.0830847749786822 Meter --> No Conversion Required
FINAL ANSWER
0.0830847749786822 0.083085 Meter <-- Conduction Shape Factor 2
(Calculation completed in 00.004 seconds)

Credits

Created by Ravi Khiyani
Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore
Ravi Khiyani has created this Calculator and 200+ more calculators!
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 2500+ more calculators!

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

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

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)))
S2 = (2*pi*Lc)/(ln((2*d)/(pi*D)*sinh((2*pi*ds)/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 Row of Equally Spaced Parallel Isothermal Cylinders Buried in Semi-infinite Medium?

Row of Equally Spaced Parallel Isothermal Cylinders Buried in Semi-infinite Medium calculator uses 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))) to calculate the Conduction Shape Factor 2, Row of Equally spaced Parallel Isothermal Cylinders buried in Semi-infinite medium formula is used to calculate the shape factor per cylinder when the row of parallel horizontal isothermal cylinders is buried at a particular distance from the surface for the heat conduction. Conduction Shape Factor 2 is denoted by S2 symbol.

How to calculate Row of Equally Spaced Parallel Isothermal Cylinders Buried in Semi-infinite Medium using this online calculator? To use this online calculator for Row of Equally Spaced Parallel Isothermal Cylinders Buried in Semi-infinite Medium, enter Length of Cylinder (Lc), Distance Between Centers (d), Diameter of Cylinder (D) & Distance from Surface to Centre of Object (ds) and hit the calculate button. Here is how the Row of Equally Spaced Parallel Isothermal Cylinders Buried in Semi-infinite Medium calculation can be explained with given input values -> 0.082491 = (2*pi*4)/(ln((2*10.1890145)/(pi*45)*sinh((2*pi*494.8008429)/10.1890145))).

FAQ

What is Row of Equally Spaced Parallel Isothermal Cylinders Buried in Semi-infinite Medium?
Row of Equally spaced Parallel Isothermal Cylinders buried in Semi-infinite medium formula is used to calculate the shape factor per cylinder when the row of parallel horizontal isothermal cylinders is buried at a particular distance from the surface for the heat conduction and is represented as S2 = (2*pi*Lc)/(ln((2*d)/(pi*D)*sinh((2*pi*ds)/d))) or 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))). Length of Cylinder is the vertical height of the Cylinder, Distance between centers is the distance between two centers of circle, The Diameter of Cylinder is the maximum width of cylinder in transverse direction & Distance from surface to centre of object is the distance between the surface and the center of the object.
How to calculate Row of Equally Spaced Parallel Isothermal Cylinders Buried in Semi-infinite Medium?
Row of Equally spaced Parallel Isothermal Cylinders buried in Semi-infinite medium formula is used to calculate the shape factor per cylinder when the row of parallel horizontal isothermal cylinders is buried at a particular distance from the surface for the heat conduction is calculated using 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))). To calculate Row of Equally Spaced Parallel Isothermal Cylinders Buried in Semi-infinite Medium, you need Length of Cylinder (Lc), Distance Between Centers (d), Diameter of Cylinder (D) & Distance from Surface to Centre of Object (ds). With our tool, you need to enter the respective value for Length of Cylinder, Distance Between Centers, Diameter of Cylinder & Distance from Surface to Centre of Object and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!