Logarithmic mean temperature difference for single pass counter flow Calculator

✖Entry temperature of hot fluid is the temperature of the hot fluid at entry.ⓘ Entry Temperature of Hot Fluid [T1]			+10% -10%
✖Exit temperature of cold fluid is the temperature of the cold fluid at exit.ⓘ Exit Temperature of Cold Fluid [t2]			+10% -10%
✖Entry temperature of cold fluid is the temperature of the cold fluid at entry.ⓘ Entry Temperature of Cold Fluid [t1]			+10% -10%
✖Exit temperature of hot fluid is the temperature of the hot fluid at exit.ⓘ Exit Temperature of Hot Fluid [T2]			+10% -10%

✖Logarithmic Mean Temperature Difference is the log of the mean of the temperature values.ⓘ Logarithmic mean temperature difference for single pass counter flow [ΔT_m]

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Logarithmic mean temperature difference for single pass counter flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
ΔT_m = ((T1-t2)-(t1-T2))/ln((T1-t2)/(t1-T2))
This formula uses 1 Functions, 5 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Logarithmic Mean Temperature Difference - Logarithmic Mean Temperature Difference is the log of the mean of the temperature values.
Entry Temperature of Hot Fluid - (Measured in Kelvin) - Entry temperature of hot fluid is the temperature of the hot fluid at entry.
Exit Temperature of Cold Fluid - (Measured in Kelvin) - Exit temperature of cold fluid is the temperature of the cold fluid at exit.
Entry Temperature of Cold Fluid - (Measured in Kelvin) - Entry temperature of cold fluid is the temperature of the cold fluid at entry.
Exit Temperature of Hot Fluid - (Measured in Kelvin) - Exit temperature of hot fluid is the temperature of the hot fluid at exit.

STEP 1: Convert Input(s) to Base Unit

Entry Temperature of Hot Fluid: 60 Kelvin --> 60 Kelvin No Conversion Required
Exit Temperature of Cold Fluid: 25 Kelvin --> 25 Kelvin No Conversion Required
Entry Temperature of Cold Fluid: 10 Kelvin --> 10 Kelvin No Conversion Required
Exit Temperature of Hot Fluid: 5 Kelvin --> 5 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔT_m = ((T1-t2)-(t1-T2))/ln((T1-t2)/(t1-T2)) --> ((60-25)-(10-5))/ln((60-25)/(10-5))

Evaluating ... ...

ΔT_m = 15.4169502710925

STEP 3: Convert Result to Output's Unit

15.4169502710925 --> No Conversion Required

FINAL ANSWER

15.4169502710925 ≈ 15.41695 <-- Logarithmic Mean Temperature Difference

(Calculation completed in 00.021 seconds)

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Home » Physics » Heat and Mass Transfer » Heat Exchanger » Mechanical » Thermal Parameters of Heat Exchanger » Logarithmic mean temperature difference for single pass counter flow

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< Thermal Parameters of Heat Exchanger Calculators

Logarithmic mean temperature difference for single pass counter flow

LaTeX Go 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))

Overall heat transfer coefficient given LMTD

LaTeX Go Overall Heat Transfer Coefficient = Heat exchanged/(Correction Factor*Area*Logarithmic Mean Temperature Difference)

Logarithmic mean temperature difference

LaTeX Go Logarithmic Mean Temperature Difference = Heat exchanged/(Correction Factor*Overall Heat Transfer Coefficient*Area)

Heat exchanged

LaTeX Go Heat exchanged = Correction Factor*Overall Heat Transfer Coefficient*Area*Logarithmic Mean Temperature Difference

Logarithmic mean temperature difference for single pass counter flow Formula

LaTeX Go

What is Heat exchanger?

A heat exchanger is a system used to transfer heat between two or more fluids. Heat exchangers are used in both cooling and heating processes. The fluids may be separated by a solid wall to prevent mixing or they may be in direct contact. They are widely used in space heating, refrigeration, air conditioning, power stations, chemical plants, petrochemical plants, petroleum refineries, natural-gas processing, and sewage treatment. The classic example of a heat exchanger is found in an internal combustion engine in which a circulating fluid known as engine coolant flows through radiator coils and air flows past the coils, which cools the coolant and heats the incoming air. Another example is the heat sink, which is a passive heat exchanger that transfers the heat generated by an electronic or a mechanical device to a fluid medium, often air or a liquid coolant.

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

Logarithmic mean temperature difference for single pass counter flow calculator 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 calculate the Logarithmic Mean Temperature Difference, The Logarithmic mean temperature difference for single pass counter flow formula is defined as the log of mean difference of temperature values of the fluids flowing in counter in single pass. Logarithmic Mean Temperature Difference is denoted by ΔT_m symbol.

How to calculate Logarithmic mean temperature difference for single pass counter flow using this online calculator? To use this online calculator 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. Here is how the Logarithmic mean temperature difference for single pass counter flow calculation can be explained with given input values -> 15.41695 = ((60-25)-(10-5))/ln((60-25)/(10-5)).

FAQ

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

The Logarithmic mean temperature difference for single pass counter flow formula is defined as the log of mean difference of temperature values of the fluids flowing in counter in single pass and is represented as ΔT_m = ((T1-t2)-(t1-T2))/ln((T1-t2)/(t1-T2)) or 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)). Entry temperature of hot fluid is the temperature of the hot fluid at entry, Exit temperature of cold fluid is the temperature of the cold fluid at exit, Entry temperature of cold fluid is the temperature of the cold fluid at entry & Exit temperature of hot fluid is the temperature of the hot fluid at exit.

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

The Logarithmic mean temperature difference for single pass counter flow formula is defined as the log of mean difference of temperature values of the fluids flowing in counter in single pass is calculated using 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 calculate Logarithmic mean temperature difference for single pass counter flow, you need Entry Temperature of Hot Fluid (T1), Exit Temperature of Cold Fluid (t2), Entry Temperature of Cold Fluid (t1) & Exit Temperature of Hot Fluid (T2). With our tool, you need to enter the respective value for Entry Temperature of Hot Fluid, Exit Temperature of Cold Fluid, Entry Temperature of Cold Fluid & Exit Temperature of Hot Fluid 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 Logarithmic Mean Temperature Difference?

In this formula, Logarithmic Mean Temperature Difference uses Entry Temperature of Hot Fluid, Exit Temperature of Cold Fluid, Entry Temperature of Cold Fluid & Exit Temperature of Hot Fluid. We can use 1 other way(s) to calculate the same, which is/are as follows -

Logarithmic Mean Temperature Difference = Heat exchanged/(Correction Factor*Overall Heat Transfer Coefficient*Area)

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