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Logarithmic mean temperature difference for single pass counter flow Formula

GoLogarithmic mean temperature difference Formula

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

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

ΔT_m - Logarithmic Mean Temperature Difference?T1 - Entry Temperature of Hot Fluid?t2 - Exit Temperature of Cold Fluid?t1 - Entry Temperature of Cold Fluid?T2 - Exit Temperature of Hot Fluid?

Logarithmic mean temperature difference for single pass counter flow Example

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Here is how the Logarithmic mean temperature difference for single pass counter flow equation looks like with Values.

Here is how the Logarithmic mean temperature difference for single pass counter flow equation looks like with Units.

Here is how the Logarithmic mean temperature difference for single pass counter flow equation looks like.

15.417 = \frac{(60 - 25) - (10 - 5)}{\ln (\frac{60 - 25}{10 - 5})}

15.417 = \frac{(60K - 25K) - (10K - 5K)}{\ln (\frac{60K - 25K}{10K - 5K})}

15.417 = \frac{(60 - 25) - (10 - 5)}{\ln (\frac{60 - 25}{10 - 5})}

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Logarithmic mean temperature difference for single pass counter flow Solution

Follow our step by step solution on how to calculate Logarithmic mean temperature difference for single pass counter flow?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ΔT m = \frac{(60K - 25K) - (10K - 5K)}{\ln (\frac{60K - 25K}{10K - 5K})}

Next Step Prepare to Evaluate

∴

ΔT m = \frac{(60 - 25) - (10 - 5)}{\ln (\frac{60 - 25}{10 - 5})}

Next Step Evaluate

∴

ΔT m = 15.4169502710925

LAST Step Rounding Answer

∴

ΔT m = 15.417

Logarithmic mean temperature difference for single pass counter flow Formula Elements

Variables

Functions

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

Entry Temperature of Hot Fluid

Entry temperature of hot fluid is the temperature of the hot fluid at entry.

Symbol: T1

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Entry Temperature of Hot Fluid

Exit Temperature of Cold Fluid

Exit temperature of cold fluid is the temperature of the cold fluid at exit.

Symbol: t2

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Exit Temperature of Cold Fluid

Entry Temperature of Cold Fluid

Entry temperature of cold fluid is the temperature of the cold fluid at entry.

Symbol: t1

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Entry Temperature of Cold Fluid

Exit Temperature of Hot Fluid

Exit temperature of hot fluid is the temperature of the hot fluid at exit.

Symbol: T2

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Exit Temperature of Hot Fluid

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 to find Logarithmic Mean Temperature Difference

Go Logarithmic mean temperature difference

ΔT m = \frac{Q}{f \cdot U \cdot A}

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 for single pass counter flow?

Logarithmic mean temperature difference for single pass counter flow evaluator uses 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)) to evaluate the Logarithmic Mean Temperature Difference, Logarithmic mean temperature difference for single pass counter flow formula is defined as a method to evaluate the average temperature difference between two fluids in a heat exchanger, facilitating the analysis of heat transfer efficiency in thermal systems. Logarithmic Mean Temperature Difference is denoted by ΔT_m symbol.

How to evaluate Logarithmic mean temperature difference for single pass counter flow using this online evaluator? To use this online evaluator for Logarithmic mean temperature difference for single pass counter flow, enter Entry Temperature of Hot Fluid (T1), Exit Temperature of Cold Fluid (t2), Entry Temperature of Cold Fluid (t1) & Exit Temperature of Hot Fluid (T2) and hit the calculate button.

FAQs on Logarithmic mean temperature difference for single pass counter flow

What is the formula to find Logarithmic mean temperature difference for single pass counter flow?

The formula of Logarithmic mean temperature difference for single pass counter flow is expressed as 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)). Here is an example- 15.41695 = ((60-25)-(10-5))/ln((60-25)/(10-5)).

How to calculate Logarithmic mean temperature difference for single pass counter flow?

With Entry Temperature of Hot Fluid (T1), Exit Temperature of Cold Fluid (t2), Entry Temperature of Cold Fluid (t1) & Exit Temperature of Hot Fluid (T2) we can find Logarithmic mean temperature difference for single pass counter flow using the formula - 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)). This formula also uses Natural Logarithm (ln) function(s).

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=Heat exchanged/(Correction Factor*Overall Heat Transfer Coefficient*Area)

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Logarithmic mean temperature difference for single pass counter flow Formula

​GoLogarithmic mean temperature difference Formula

Logarithmic mean temperature difference for single pass counter flow Example

Logarithmic mean temperature difference for single pass counter flow Solution

Logarithmic mean temperature difference for single pass counter flow 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 for single pass counter flow?

FAQs on Logarithmic mean temperature difference for single pass counter flow

Variable Name

GoLogarithmic mean temperature difference Formula