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

✖Length of Cylinder is the vertical height of the Cylinder.ⓘ Length of Cylinder [L_c]			+10% -10%
✖Distance between centers is the distance between two centers of circle.ⓘ Distance Between Centers [d]			+10% -10%
✖The Diameter of Cylinder is the maximum width of cylinder in transverse direction.ⓘ Diameter of Cylinder [D]			+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%

✖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.ⓘ Row of Equally Spaced Parallel Isothermal Cylinders Buried in Semi-infinite Medium [S₂]

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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*L_c)/(ln((2*d)/(pi*D)*sinh((2*pi*d_s)/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*L_c)/(ln((2*d)/(pi*D)*sinh((2*pi*d_s)/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 00.008 seconds)

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Home » Physics » Heat and Mass Transfer » Conduction » Conduction Shape Factors for Different Configurations » Mechanical » Semi Infinite Medium » Row of Equally Spaced Parallel Isothermal Cylinders Buried in Semi-infinite Medium

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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)

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

LaTeX Go

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 defined as a method to determine the thermal resistance of a row of equally spaced parallel isothermal cylinders buried in a semi-infinite medium, which is essential in understanding heat transfer in various engineering applications. 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 (L_c), Distance Between Centers (d), Diameter of Cylinder (D) & Distance from Surface to Centre of Object (d_s) 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 defined as a method to determine the thermal resistance of a row of equally spaced parallel isothermal cylinders buried in a semi-infinite medium, which is essential in understanding heat transfer in various engineering applications and is represented as S₂ = (2*pi*L_c)/(ln((2*d)/(pi*D)*sinh((2*pi*d_s)/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 defined as a method to determine the thermal resistance of a row of equally spaced parallel isothermal cylinders buried in a semi-infinite medium, which is essential in understanding heat transfer in various engineering applications 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 (L_c), Distance Between Centers (d), Diameter of Cylinder (D) & Distance from Surface to Centre of Object (d_s). 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.

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