Eccentric Isothermal Cylinder in Cylinder of Same Length Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
S = (2*pi*Lc)/acosh((D1^2+D2^2-4*z^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.
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.
Eccentric Distance Between Objects - (Measured in Meter) - Eccentric Distance between Objects is the radial length from the center of one object which is at some distance from the center of another object.
STEP 1: Convert Input(s) to Base Unit
Length of Cylinder: 4 Meter --> 4 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
Eccentric Distance Between Objects: 1.89 Meter --> 1.89 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = (2*pi*Lc)/acosh((D1^2+D2^2-4*z^2)/(2*D1*D2)) --> (2*pi*4)/acosh((5.1^2+13.739222^2-4*1.89^2)/(2*5.1*13.739222))
Evaluating ... ...
S = 28.0000042693262
STEP 3: Convert Result to Output's Unit
28.0000042693262 Meter --> No Conversion Required
FINAL ANSWER
28.0000042693262 28 Meter <-- Conduction Shape Factor
(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!

9 Conduction Shape Factors for Different Configurations Calculators

Eccentric Isothermal Cylinder in Cylinder of Same Length
Go 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))
Long Hollow Cylindrical Layer
Go Conduction Shape Factor = (2*pi*Length of Cylinder)/(ln(Outer Radius of Cylinder/Inner Radius of Cylinder))
Isothermal Cylinder at Center of Square Solid Bar of Same Length
Go Conduction Shape Factor = (2*pi*Length of Cylinder)/ln((1.08*Width of Square Bar)/Diameter of Cylinder)
Square Flow Passage with Width to b Ratio Greater than 1.4
Go Conduction Shape Factor = (2*pi*Length of Pipe)/(0.93*ln(0.948*Outer Width 1/Inner Width 1))
Square Flow Passage with Width to b Ratio Less than 1.4
Go Conduction Shape Factor = (2*pi*Length of Pipe)/(0.785*ln(Outer Width 2/Inner Width 2))
Hollow Spherical Layer
Go Conduction Shape Factor = (4*pi*Inner Radius*Outer Radius)/(Outer Radius-Inner Radius)
Large Plane Wall
Go Conduction Shape Factor = Cross-Sectional Area/Thickness
Corner of Three Walls of Equal Thickness
Go Conduction Shape Factor = 0.15*Thickness of Wall
Conduction through Edge of Two Adjoining Walls of Equal Thickness
Go Conduction Shape Factor = 0.54*Length of Wall

Eccentric Isothermal Cylinder in Cylinder of Same Length Formula

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))
S = (2*pi*Lc)/acosh((D1^2+D2^2-4*z^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 Eccentric Isothermal Cylinder in Cylinder of Same Length?

Eccentric Isothermal Cylinder in Cylinder of Same Length calculator uses 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)) to calculate the Conduction Shape Factor, The Eccentric Isothermal Cylinder in Cylinder of same Length formula gives the shape factor when one cylinder is at some eccentric distance from the other cylinder. Both the cylinders are of the same length. Conduction Shape Factor is denoted by S symbol.

How to calculate Eccentric Isothermal Cylinder in Cylinder of Same Length using this online calculator? To use this online calculator for Eccentric Isothermal Cylinder in Cylinder of Same Length, enter Length of Cylinder (Lc), Diameter of Cylinder 1 (D1), Diameter of Cylinder 2 (D2) & Eccentric Distance Between Objects (z) and hit the calculate button. Here is how the Eccentric Isothermal Cylinder in Cylinder of Same Length calculation can be explained with given input values -> 58.01586 = (2*pi*4)/acosh((5.1^2+13.739222^2-4*1.89^2)/(2*5.1*13.739222)).

FAQ

What is Eccentric Isothermal Cylinder in Cylinder of Same Length?
The Eccentric Isothermal Cylinder in Cylinder of same Length formula gives the shape factor when one cylinder is at some eccentric distance from the other cylinder. Both the cylinders are of the same length and is represented as S = (2*pi*Lc)/acosh((D1^2+D2^2-4*z^2)/(2*D1*D2)) or 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)). Length of Cylinder is the vertical height of the Cylinder, Diameter of Cylinder 1 is the diameter of the first cylinder, Diameter of Cylinder 2 is the diameter of the second cylinder & Eccentric Distance between Objects is the radial length from the center of one object which is at some distance from the center of another object.
How to calculate Eccentric Isothermal Cylinder in Cylinder of Same Length?
The Eccentric Isothermal Cylinder in Cylinder of same Length formula gives the shape factor when one cylinder is at some eccentric distance from the other cylinder. Both the cylinders are of the same length is calculated using 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)). To calculate Eccentric Isothermal Cylinder in Cylinder of Same Length, you need Length of Cylinder (Lc), Diameter of Cylinder 1 (D1), Diameter of Cylinder 2 (D2) & Eccentric Distance Between Objects (z). With our tool, you need to enter the respective value for Length of Cylinder, Diameter of Cylinder 1, Diameter of Cylinder 2 & Eccentric Distance Between Objects 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, Diameter of Cylinder 1, Diameter of Cylinder 2 & Eccentric Distance Between Objects. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • Conduction Shape Factor = (2*pi*Length of Cylinder)/ln((1.08*Width of Square Bar)/Diameter of Cylinder)
  • 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)
  • Conduction Shape Factor = (2*pi*Length of Pipe)/(0.93*ln(0.948*Outer Width 1/Inner Width 1))
  • Conduction Shape Factor = (2*pi*Length of Pipe)/(0.785*ln(Outer Width 2/Inner Width 2))
  • Conduction Shape Factor = 0.15*Thickness of Wall
  • Conduction Shape Factor = 0.54*Length of Wall
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!