Logarithmic Mean Area of Cylinder Solution

STEP 0: Pre-Calculation Summary
Formula Used
Logarithmic Mean Area = (Outer Area of the Cylinder-Inner Area of the Cylinder)/ln(Outer Area of the Cylinder/Inner Area of the Cylinder)
Amean = (Ao-Ai)/ln(Ao/Ai)
This formula uses 1 Functions, 3 Variables
Functions Used
ln - Natural logarithm function (base e), ln(Number)
Variables Used
Logarithmic Mean Area - (Measured in Square Meter) - Logarithmic mean area tells us what should be the area of a conducting wall in terms of the area of a cylindrical surface so that their heat resistances are same .
Outer Area of the Cylinder - (Measured in Square Meter) - The Outer area of the Cylinder gives the area of the outer part of the Cylinder.
Inner Area of the Cylinder - (Measured in Square Meter) - The Inner area of the Cylinder gives the area of the inner part of the Cylinder.
STEP 1: Convert Input(s) to Base Unit
Outer Area of the Cylinder: 10 Square Meter --> 10 Square Meter No Conversion Required
Inner Area of the Cylinder: 8 Square Meter --> 8 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Amean = (Ao-Ai)/ln(Ao/Ai) --> (10-8)/ln(10/8)
Evaluating ... ...
Amean = 8.9628402354491
STEP 3: Convert Result to Output's Unit
8.9628402354491 Square Meter --> No Conversion Required
FINAL ANSWER
8.9628402354491 Square Meter <-- Logarithmic Mean Area
(Calculation completed in 00.016 seconds)

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DJ Sanghvi College of Engineering (DJSCE), Mumbai
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Logarithmic Mean Area = (Outer Area of the Cylinder-Inner Area of the Cylinder)/ln(Outer Area of the Cylinder/Inner Area of the Cylinder) Go
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Logarithmic Mean Area of Cylinder Formula

Logarithmic Mean Area = (Outer Area of the Cylinder-Inner Area of the Cylinder)/ln(Outer Area of the Cylinder/Inner Area of the Cylinder)
Amean = (Ao-Ai)/ln(Ao/Ai)

Why do we calculate Logarithmic Mean Area ?

If heat transfer is taking place from a cylinder, so if we want to find out the area of slab for the same amount of heat transfer then log mean area is used, as heat transfer area in case of cylinder is continuously varying from inner radius to outer radius, so the utility of log mean area is to deduce a constant area for the same amount of heat transfer.

How to Calculate Logarithmic Mean Area of Cylinder?

Logarithmic Mean Area of Cylinder calculator uses Logarithmic Mean Area = (Outer Area of the Cylinder-Inner Area of the Cylinder)/ln(Outer Area of the Cylinder/Inner Area of the Cylinder) to calculate the Logarithmic Mean Area, Logarithmic mean area of Cylinder tells us what should be the area of a conducting wall in terms of the area of a cylindrical surface so that their heat resistances are same. Logarithmic Mean Area is denoted by Amean symbol.

How to calculate Logarithmic Mean Area of Cylinder using this online calculator? To use this online calculator for Logarithmic Mean Area of Cylinder, enter Outer Area of the Cylinder (Ao) & Inner Area of the Cylinder (Ai) and hit the calculate button. Here is how the Logarithmic Mean Area of Cylinder calculation can be explained with given input values -> 8.96284 = (10-8)/ln(10/8).

FAQ

What is Logarithmic Mean Area of Cylinder?
Logarithmic mean area of Cylinder tells us what should be the area of a conducting wall in terms of the area of a cylindrical surface so that their heat resistances are same and is represented as Amean = (Ao-Ai)/ln(Ao/Ai) or Logarithmic Mean Area = (Outer Area of the Cylinder-Inner Area of the Cylinder)/ln(Outer Area of the Cylinder/Inner Area of the Cylinder). The Outer area of the Cylinder gives the area of the outer part of the Cylinder & The Inner area of the Cylinder gives the area of the inner part of the Cylinder.
How to calculate Logarithmic Mean Area of Cylinder?
Logarithmic mean area of Cylinder tells us what should be the area of a conducting wall in terms of the area of a cylindrical surface so that their heat resistances are same is calculated using Logarithmic Mean Area = (Outer Area of the Cylinder-Inner Area of the Cylinder)/ln(Outer Area of the Cylinder/Inner Area of the Cylinder). To calculate Logarithmic Mean Area of Cylinder, you need Outer Area of the Cylinder (Ao) & Inner Area of the Cylinder (Ai). With our tool, you need to enter the respective value for Outer Area of the Cylinder & Inner Area of the Cylinder 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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