Two parallel Isothermal Cylinders placed in 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%
✖Diameter of Cylinder 1 is the diameter of the first cylinder.ⓘ Diameter of Cylinder 1 [D₁]			+10% -10%
✖Diameter of Cylinder 2 is the diameter of the second cylinder.ⓘ Diameter of Cylinder 2 [D₂]			+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.ⓘ Two parallel Isothermal Cylinders placed in Infinite medium [S]

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Two parallel Isothermal Cylinders placed in 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_c)/acosh((4*d^2-D₁^2-D₂^2)/(2*D₁*D₂))
This formula uses 1 Constants, 2 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cosh - The hyperbolic cosine function is a mathematical function that is defined as the ratio of the sum of the exponential functions of x and negative x to 2., cosh(Number)
acosh - Hyperbolic cosine function, is a function that takes a real number as an input and returns the angle whose hyperbolic cosine is that number., acosh(Number)

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.
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 1 - (Measured in Meter) - Diameter of Cylinder 1 is the diameter of the first cylinder.
Diameter of Cylinder 2 - (Measured in Meter) - Diameter of Cylinder 2 is the diameter of the second cylinder.

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 1: 5.1 Meter --> 5.1 Meter No Conversion Required
Diameter of Cylinder 2: 13.739222 Meter --> 13.739222 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = (2*pi*L_c)/acosh((4*d^2-D₁^2-D₂^2)/(2*D₁*D₂)) --> (2*pi*4)/acosh((4*10.1890145^2-5.1^2-13.739222^2)/(2*5.1*13.739222))

Evaluating ... ...

S = 27.9999991358431

STEP 3: Convert Result to Output's Unit

27.9999991358431 Meter --> No Conversion Required

FINAL ANSWER

27.9999991358431 ≈ 28 Meter <-- Conduction Shape Factor

(Calculation completed in 00.066 seconds)

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Home » Physics » Heat and Mass Transfer » Conduction » Conduction Shape Factors for Different Configurations » Mechanical » Infinite Medium » Two parallel Isothermal Cylinders placed in Infinite medium

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< Infinite Medium Calculators

Isothermal Ellipsoid Buried in Infinite Medium

LaTeX 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

LaTeX 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

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

Isothermal Sphere Buried in Infinite Medium

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

Two parallel Isothermal Cylinders placed in 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 Two parallel Isothermal Cylinders placed in Infinite medium?

Two parallel Isothermal Cylinders placed in 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 Infinite medium formula is defined as a mathematical model that determines the shape factor for heat transfer between two isothermal cylinders placed in an infinite medium, which is essential in calculating heat transfer rates in various engineering applications. Conduction Shape Factor is denoted by S symbol.

How to calculate Two parallel Isothermal Cylinders placed in Infinite medium using this online calculator? To use this online calculator for Two parallel Isothermal Cylinders placed in Infinite medium, enter Length of Cylinder (L_c), Distance Between Centers (d), 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 Infinite medium calculation can be explained with given input values -> 28.00001 = (2*pi*4)/acosh((4*10.1890145^2-5.1^2-13.739222^2)/(2*5.1*13.739222)).

FAQ

What is Two parallel Isothermal Cylinders placed in Infinite medium?

Two parallel Isothermal Cylinders placed in Infinite medium formula is defined as a mathematical model that determines the shape factor for heat transfer between two isothermal cylinders placed in an infinite medium, which is essential in calculating heat transfer rates in various engineering applications and is represented as S = (2*pi*L_c)/acosh((4*d^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 Infinite medium?

Two parallel Isothermal Cylinders placed in Infinite medium formula is defined as a mathematical model that determines the shape factor for heat transfer between two isothermal cylinders placed in an infinite medium, which is essential in calculating heat transfer rates in various engineering applications 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 Infinite medium, you need Length of Cylinder (L_c), Distance Between Centers (d), 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 3 other way(s) to calculate the same, which is/are as follows -

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

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