Isothermal cylinder in midplane of an infinite wall Solution

STEP 0: Pre-Calculation Summary
Formula Used
Conduction shape factor = (8*Distance from surface to centre of object)/(pi*Diameter of cylinder)
S = (8*z)/(pi*D)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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.
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.
Diameter of cylinder - (Measured in Meter) - Diameter of cylinder is the maximum width of cylinder in transverse direction.
STEP 1: Convert Input(s) to Base Unit
Distance from surface to centre of object: 100 Meter --> 100 Meter No Conversion Required
Diameter of cylinder: 5 Centimeter --> 0.05 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = (8*z)/(pi*D) --> (8*100)/(pi*0.05)
Evaluating ... ...
S = 5092.95817894065
STEP 3: Convert Result to Output's Unit
5092.95817894065 Meter --> No Conversion Required
FINAL ANSWER
5092.95817894065 Meter <-- Conduction shape factor
(Calculation completed in 00.022 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 Akshay Talbar
Vishwakarma University (VU), Pune
Akshay Talbar has verified this Calculator and 10+ more calculators!

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 surface 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 surface 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 surface to centre of object)/(pi*Diameter of cylinder) Go
Large plane wall
Conduction shape factor = Cross-sectional area/Thickness Go

Isothermal cylinder in midplane of an infinite wall Formula

Conduction shape factor = (8*Distance from surface to centre of object)/(pi*Diameter of cylinder)
S = (8*z)/(pi*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 Isothermal cylinder in midplane of an infinite wall?

Isothermal cylinder in midplane of an infinite wall calculator uses Conduction shape factor = (8*Distance from surface to centre of object)/(pi*Diameter of cylinder) to calculate the Conduction shape factor, Isothermal cylinder in midplane of an infinite wall formula gives the shape factor when a cylinder of length L is placed in the midplane of an infinite wall for heat conduction. Conduction shape factor is denoted by S symbol.

How to calculate Isothermal cylinder in midplane of an infinite wall using this online calculator? To use this online calculator for Isothermal cylinder in midplane of an infinite wall, enter Distance from surface to centre of object (z) & Diameter of cylinder (D) and hit the calculate button. Here is how the Isothermal cylinder in midplane of an infinite wall calculation can be explained with given input values -> 5092.958 = (8*100)/(pi*0.05).

FAQ

What is Isothermal cylinder in midplane of an infinite wall?
Isothermal cylinder in midplane of an infinite wall formula gives the shape factor when a cylinder of length L is placed in the midplane of an infinite wall for heat conduction and is represented as S = (8*z)/(pi*D) or Conduction shape factor = (8*Distance from surface to centre of object)/(pi*Diameter of cylinder). Distance from surface to centre of object is the distance between the surface and the center of the object & Diameter of cylinder is the maximum width of cylinder in transverse direction.
How to calculate Isothermal cylinder in midplane of an infinite wall?
Isothermal cylinder in midplane of an infinite wall formula gives the shape factor when a cylinder of length L is placed in the midplane of an infinite wall for heat conduction is calculated using Conduction shape factor = (8*Distance from surface to centre of object)/(pi*Diameter of cylinder). To calculate Isothermal cylinder in midplane of an infinite wall, you need Distance from surface to centre of object (z) & Diameter of cylinder (D). With our tool, you need to enter the respective value for Distance from surface to centre of object & Diameter of cylinder 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 Distance from surface to centre of object & Diameter of cylinder. We can use 20 other way(s) to calculate the same, which is/are as follows -
  • Conduction shape factor = (2*pi*Length of Cylinder)/(ln((4*Distance from surface 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 surface to centre of object)/Distance between centers)))
  • 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)
  • Conduction shape factor = (2*pi*Length of Pipe)/(0.93*ln(0.948*(Outer width/Inner width)))
  • Conduction shape factor = (2*pi*Length of Pipe)/(0.785*ln(Outer width/Inner width))
  • Conduction shape factor = 4*Diameter of disk
  • Conduction shape factor = 0.15*Thickness of Wall
  • Conduction shape factor = 0.54*Length of wall
  • Conduction shape factor = (2*pi*Diameter of Sphere)/(1-((0.25*Diameter of Sphere)/Distance from surface to centre of object))
  • Conduction shape factor = (2*pi*Diameter of Sphere)/(1+((0.25*Diameter of Sphere)/Distance from surface to centre of object))
  • Conduction shape factor = 1.685*Length of parallelepiped*((log10(1+(Distance from surafce to surface of object/Width of parallelepiped)))^(-0.59))*(Distance from surafce to surface of object/Height of parallelepiped)^(-0.078)
  • Conduction shape factor = (2*pi*Width of plate)/ln((4*Width of plate)/Length of Plate)
  • 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)))
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!