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Logarithmic Mean Area of Cylinder Formula

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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 . Check FAQs

A mean = \frac{A o - A i}{\ln (\frac{A o}{A i})}

A_mean - Logarithmic Mean Area?A_o - Outer Area of Cylinder?A_i - Inner Area of Cylinder?

Logarithmic Mean Area of Cylinder Example

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Here is how the Logarithmic Mean Area of Cylinder equation looks like with Values.

Here is how the Logarithmic Mean Area of Cylinder equation looks like with Units.

Here is how the Logarithmic Mean Area of Cylinder equation looks like.

9.8652 = \frac{12 - 8}{\ln (\frac{12}{8})}

9.8652m² = \frac{12m² - 8m²}{\ln (\frac{12m²}{8m²})}

9.8652 = \frac{12 - 8}{\ln (\frac{12}{8})}

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Logarithmic Mean Area of Cylinder Solution

Follow our step by step solution on how to calculate Logarithmic Mean Area of Cylinder?

FIRST Step Consider the formula

A mean = \frac{A o - A i}{\ln (\frac{A o}{A i})}

Next Step Substitute values of Variables

∴

A mean = \frac{12m² - 8m²}{\ln (\frac{12m²}{8m²})}

Next Step Prepare to Evaluate

∴

A mean = \frac{12 - 8}{\ln (\frac{12}{8})}

Next Step Evaluate

∴

A mean = 9.86521384950573m²

LAST Step Rounding Answer

∴

A mean = 9.8652m²

Logarithmic Mean Area of Cylinder Formula Elements

Variables

Functions

Logarithmic Mean Area

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 .

Symbol: A_mean

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Logarithmic Mean Area

Outer Area of Cylinder

Outer area of Cylinder gives the area of the outer part of the Cylinder.

Symbol: A_o

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Outer Area of Cylinder

Inner Area of Cylinder

The Inner area of Cylinder gives the area of the inner part of the Cylinder.

Symbol: A_i

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Inner Area of Cylinder

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Basics of Heat Transfer category

Go Log Mean Temperature Difference for CoCurrent Flow

LMTD = \frac{(T ho - T co) - (T hi - T ci)}{\ln (\frac{T ho - T co}{T hi - T ci})}

Go Log Mean Temperature Difference for Counter Current Flow

LMTD = \frac{(T ho - T ci) - (T hi - T co)}{\ln (\frac{T ho - T ci}{T hi - T co})}

Go Heat Transfer Coefficient based on Temperature Difference

h ht = \frac{q}{ΔT Overall}

Go Hydraulic Radius

r H = \frac{A cs}{P}

How to Evaluate Logarithmic Mean Area of Cylinder?

Logarithmic Mean Area of Cylinder evaluator uses Logarithmic Mean Area = (Outer Area of Cylinder-Inner Area of Cylinder)/ln(Outer Area of Cylinder/Inner Area of Cylinder) to evaluate 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 A_mean symbol.

How to evaluate Logarithmic Mean Area of Cylinder using this online evaluator? To use this online evaluator for Logarithmic Mean Area of Cylinder, enter Outer Area of Cylinder (A_o) & Inner Area of Cylinder (A_i) and hit the calculate button.

FAQs on Logarithmic Mean Area of Cylinder

What is the formula to find Logarithmic Mean Area of Cylinder?

The formula of Logarithmic Mean Area of Cylinder is expressed as Logarithmic Mean Area = (Outer Area of Cylinder-Inner Area of Cylinder)/ln(Outer Area of Cylinder/Inner Area of Cylinder). Here is an example- 9.865214 = (12-8)/ln(12/8).

How to calculate Logarithmic Mean Area of Cylinder?

With Outer Area of Cylinder (A_o) & Inner Area of Cylinder (A_i) we can find Logarithmic Mean Area of Cylinder using the formula - Logarithmic Mean Area = (Outer Area of Cylinder-Inner Area of Cylinder)/ln(Outer Area of Cylinder/Inner Area of Cylinder). This formula also uses Natural Logarithm (ln) function(s).

Can the Logarithmic Mean Area of Cylinder be negative?

No, the Logarithmic Mean Area of Cylinder, measured in Area cannot be negative.

Which unit is used to measure Logarithmic Mean Area of Cylinder?

Logarithmic Mean Area of Cylinder is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Logarithmic Mean Area of Cylinder can be measured.

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Logarithmic Mean Area of Cylinder Formula

Logarithmic Mean Area of Cylinder Example

Logarithmic Mean Area of Cylinder Solution

Logarithmic Mean Area of Cylinder Formula Elements

Other formulas in Basics of Heat Transfer category

How to Evaluate Logarithmic Mean Area of Cylinder?

FAQs on Logarithmic Mean Area of Cylinder

Variable Name