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Two parallel isothermal cylinders placed in an infinite medium Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
S = (2*pi*l)/acosh(((4*(DBetweenCenters)^2)-(D1)^2-(D2)^2)/(2*D1*D2))
This formula uses 1 Constants, 4 Functions, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
cos - Trigonometric cosine function, cos(Angle)
acos - Inverse trigonometric cosine function, acos(Number)
cosh - Hyperbolic cosine function, cosh(Number)
acosh - Inverse hyperbolic cosine function, acosh(Number)
Variables Used
Length of Cylinder - Length of Cylinder is the vertical height of the Cylinder. (Measured in Meter)
Distance between centers - Distance between centers is the distance between two centers of circle. (Measured in Meter)
Diameter of cylinder 1 - Diameter of cylinder 1 is the diameter of the first cylinder. (Measured in Meter)
Diameter of cylinder 2 - Diameter of cylinder 2 is the diameter of the second cylinder. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Length of Cylinder: 1 Meter --> 1 Meter No Conversion Required
Distance between centers: 10 Meter --> 10 Meter No Conversion Required
Diameter of cylinder 1: 5 Meter --> 5 Meter No Conversion Required
Diameter of cylinder 2: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = (2*pi*l)/acosh(((4*(DBetweenCenters)^2)-(D1)^2-(D2)^2)/(2*D1*D2)) --> (2*pi*1)/acosh(((4*(10)^2)-(5)^2-(10)^2)/(2*5*10))
Evaluating ... ...
S = 3.7625688384233
STEP 3: Convert Result to Output's Unit
3.7625688384233 Meter --> No Conversion Required
FINAL ANSWER
3.7625688384233 Meter <-- Conduction shape factor
(Calculation completed in 00.016 seconds)

10+ Conduction shape factors for different configurations Calculators

Row of equally spaced parallel isothermal cylinders buried in a semi-infinite medium
conduction_shape_factor = (2*pi*Length of Cylinder)/(ln(((2*Distance between centers)/(pi*Diameter of cylinder))*sinh((2*pi*Distance from surafce to centre of object)/Distance between centers))) Go
Eccentric isothermal cylinder in a cylinder of same length
conduction_shape_factor = (2*pi*Length of Cylinder)/acosh(((Diameter of cylinder 1)^2+(Diameter of cylinder 2)^2-(4*(Eccentric distance between objects)^2))/(2*Diameter of cylinder 1*Diameter of cylinder 2)) Go
Two parallel isothermal cylinders placed in an infinite medium
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)) Go
Isothermal cylinder buried in semi-infinite medium
conduction_shape_factor = (2*pi*Length of Cylinder)/(ln((4*Distance from surafce to centre of object)/Diameter of cylinder)) Go
Long hollow cylindrical layer
conduction_shape_factor = (2*pi*Length of Cylinder)/(ln(Outer Radius of Cylinder/Inner Radius of Cylinder)) Go
Isothermal cylinder at center of square solid bar of same length
conduction_shape_factor = (2*pi*Length of Cylinder)/ln((1.08*Width of square bar)/Diameter of cylinder) Go
Vertical isothermal cylinder buried in semi-infinite medium
conduction_shape_factor = (2*pi*Length of Cylinder)/(ln((4*Length of Cylinder)/Diameter of cylinder)) Go
Hollow spherical layer
conduction_shape_factor = (4*pi*Inner radius*Outer radius)/(Outer radius-Inner radius) Go
Isothermal cylinder in midplane of an infinite wall
conduction_shape_factor = (8*Distance from surafce to centre of object)/(pi*Diameter of cylinder) Go
Large plane wall
conduction_shape_factor = Cross-sectional area/Thickness Go

Two parallel isothermal cylinders placed in an infinite medium Formula

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))
S = (2*pi*l)/acosh(((4*(DBetweenCenters)^2)-(D1)^2-(D2)^2)/(2*D1*D2))

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 Two parallel isothermal cylinders placed in an infinite medium?

Two parallel isothermal cylinders placed in an infinite medium calculator uses 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)) to calculate the Conduction shape factor, Two parallel isothermal cylinders placed in an infinite medium formula give the shape factor when two parallel cylinders at some distance are placed in an infinite medium for heat conduction. Conduction shape factor is denoted by S symbol.

How to calculate Two parallel isothermal cylinders placed in an infinite medium using this online calculator? To use this online calculator for Two parallel isothermal cylinders placed in an infinite medium, enter Length of Cylinder (l), Distance between centers (DBetweenCenters), Diameter of cylinder 1 (D1) & Diameter of cylinder 2 (D2) and hit the calculate button. Here is how the Two parallel isothermal cylinders placed in an infinite medium calculation can be explained with given input values -> 3.762569 = (2*pi*1)/acosh(((4*(10)^2)-(5)^2-(10)^2)/(2*5*10)).

FAQ

What is Two parallel isothermal cylinders placed in an infinite medium?
Two parallel isothermal cylinders placed in an infinite medium formula give the shape factor when two parallel cylinders at some distance are placed in an infinite medium for heat conduction and is represented as S = (2*pi*l)/acosh(((4*(DBetweenCenters)^2)-(D1)^2-(D2)^2)/(2*D1*D2)) or 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)). Length of Cylinder is the vertical height of the Cylinder, Distance between centers is the distance between two centers of circle, Diameter of cylinder 1 is the diameter of the first cylinder & Diameter of cylinder 2 is the diameter of the second cylinder.
How to calculate Two parallel isothermal cylinders placed in an infinite medium?
Two parallel isothermal cylinders placed in an infinite medium formula give the shape factor when two parallel cylinders at some distance are placed in an infinite medium for heat conduction is calculated using 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)). To calculate Two parallel isothermal cylinders placed in an infinite medium, you need Length of Cylinder (l), Distance between centers (DBetweenCenters), Diameter of cylinder 1 (D1) & Diameter of cylinder 2 (D2). With our tool, you need to enter the respective value for Length of Cylinder, Distance between centers, Diameter of cylinder 1 & Diameter of cylinder 2 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, Distance between centers, Diameter of cylinder 1 & Diameter of cylinder 2. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • conduction_shape_factor = (2*pi*Length of Cylinder)/(ln((4*Distance from surafce to centre of object)/Diameter of cylinder))
  • conduction_shape_factor = (2*pi*Length of Cylinder)/(ln((4*Length of Cylinder)/Diameter of cylinder))
  • 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 = (2*pi*Length of Cylinder)/(ln(((2*Distance between centers)/(pi*Diameter of cylinder))*sinh((2*pi*Distance from surafce to centre of object)/Distance between centers)))
  • conduction_shape_factor = (8*Distance from surafce to centre of object)/(pi*Diameter of cylinder)
  • conduction_shape_factor = (2*pi*Length of Cylinder)/ln((1.08*Width of square bar)/Diameter of cylinder)
  • conduction_shape_factor = (2*pi*Length of Cylinder)/acosh(((Diameter of cylinder 1)^2+(Diameter of cylinder 2)^2-(4*(Eccentric distance between objects)^2))/(2*Diameter of cylinder 1*Diameter of cylinder 2))
  • conduction_shape_factor = Cross-sectional area/Thickness
  • conduction_shape_factor = (2*pi*Length of Cylinder)/(ln(Outer Radius of Cylinder/Inner Radius of Cylinder))
  • conduction_shape_factor = (4*pi*Inner radius*Outer radius)/(Outer radius-Inner radius)
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