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Logarithmic mean temperature difference Formula

GoLogarithmic mean temperature difference for single pass counter flow Formula

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Logarithmic Mean Temperature Difference is the log of the mean of the temperature values. Check FAQs

ΔT m = \frac{Q}{f \cdot U \cdot A}

ΔT_m - Logarithmic Mean Temperature Difference?Q - Heat exchanged?f - Correction Factor?U - Overall Heat Transfer Coefficient?A - Area?

Logarithmic mean temperature difference Example

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Here is how the Logarithmic mean temperature difference equation looks like with Values.

Here is how the Logarithmic mean temperature difference equation looks like with Units.

Here is how the Logarithmic mean temperature difference equation looks like.

0.04 = \frac{50}{0.5 \cdot 50 \cdot 50}

0.04 = \frac{50W}{0.5 \cdot 50W/m²*K \cdot 50m²}

0.04 = \frac{50}{0.5 \cdot 50 \cdot 50}

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Logarithmic mean temperature difference Solution

Follow our step by step solution on how to calculate Logarithmic mean temperature difference?

FIRST Step Consider the formula

ΔT m = \frac{Q}{f \cdot U \cdot A}

Next Step Substitute values of Variables

∴

ΔT m = \frac{50W}{0.5 \cdot 50W/m²*K \cdot 50m²}

Next Step Prepare to Evaluate

∴

ΔT m = \frac{50}{0.5 \cdot 50 \cdot 50}

LAST Step Evaluate

∴

ΔT m = 0.04

Logarithmic mean temperature difference Formula Elements

Variables

Logarithmic Mean Temperature Difference

Logarithmic Mean Temperature Difference is the log of the mean of the temperature values.

Symbol: ΔT_m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Logarithmic Mean Temperature Difference

Heat exchanged

Heat exchanged is the amount of heat transferred between two objects.

Symbol: Q

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Heat exchanged

Correction Factor

Correction Factor is that which is multiplied with the result of an equation to correct for a known amount of systematic error.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Correction Factor

Overall Heat Transfer Coefficient

Overall heat transfer coefficient is the overall convective heat transfer between a fluid medium (a fluid) and the surface (wall) flowed over by the fluid.

Symbol: U

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value can be positive or negative.

Formulas to find Overall Heat Transfer Coefficient

Area

The area is the amount of two-dimensional space taken up by an object.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area

Other Formulas to find Logarithmic Mean Temperature Difference

Go Logarithmic mean temperature difference for single pass counter flow

ΔT m = \frac{(T1 - t2) - (t1 - T2)}{\ln (\frac{T1 - t2}{t1 - T2})}

Other formulas in Thermal Parameters of Heat Exchanger category

Go Heat exchanged

Q = f \cdot U \cdot A \cdot ΔT m

Go Overall heat transfer coefficient given LMTD

U = \frac{Q}{f \cdot A \cdot ΔT m}

Go Heat exchanged NTU method

Q = ϵ \cdot C min \cdot (T1 - t1)

Go Entry temperature of cold fluid

t1 = T1 - (\frac{Q}{ϵ \cdot C min})

How to Evaluate Logarithmic mean temperature difference?

Logarithmic mean temperature difference evaluator uses Logarithmic Mean Temperature Difference = Heat exchanged/(Correction Factor*Overall Heat Transfer Coefficient*Area) to evaluate the Logarithmic Mean Temperature Difference, The Logarithmic mean temperature difference formula is defined as the log of the mean difference of the temperature values. Logarithmic Mean Temperature Difference is denoted by ΔT_m symbol.

How to evaluate Logarithmic mean temperature difference using this online evaluator? To use this online evaluator for Logarithmic mean temperature difference, enter Heat exchanged (Q), Correction Factor (f), Overall Heat Transfer Coefficient (U) & Area (A) and hit the calculate button.

FAQs on Logarithmic mean temperature difference

What is the formula to find Logarithmic mean temperature difference?

The formula of Logarithmic mean temperature difference is expressed as Logarithmic Mean Temperature Difference = Heat exchanged/(Correction Factor*Overall Heat Transfer Coefficient*Area). Here is an example- 0.04 = 50/(0.5*50*50).

How to calculate Logarithmic mean temperature difference?

With Heat exchanged (Q), Correction Factor (f), Overall Heat Transfer Coefficient (U) & Area (A) we can find Logarithmic mean temperature difference using the formula - Logarithmic Mean Temperature Difference = Heat exchanged/(Correction Factor*Overall Heat Transfer Coefficient*Area).

What are the other ways to Calculate Logarithmic Mean Temperature Difference?

Here are the different ways to Calculate Logarithmic Mean Temperature Difference-

Logarithmic Mean Temperature Difference=((Entry Temperature of Hot Fluid-Exit Temperature of Cold Fluid)-(Entry Temperature of Cold Fluid-Exit Temperature of Hot Fluid))/ln((Entry Temperature of Hot Fluid-Exit Temperature of Cold Fluid)/(Entry Temperature of Cold Fluid-Exit Temperature of Hot Fluid))

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Logarithmic mean temperature difference Formula

​GoLogarithmic mean temperature difference for single pass counter flow Formula

Logarithmic mean temperature difference Example

Logarithmic mean temperature difference Solution

Logarithmic mean temperature difference Formula Elements

Other Formulas to find Logarithmic Mean Temperature Difference

Other formulas in Thermal Parameters of Heat Exchanger category

How to Evaluate Logarithmic mean temperature difference?

FAQs on Logarithmic mean temperature difference

Variable Name

GoLogarithmic mean temperature difference for single pass counter flow Formula