LMTD of coil given by-pass factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Logarithmic mean temperature difference = (Final Temperature-Initial Temperature)/ln(1/By pass factor)
ΔTm = (Tf-Ti)/ln(1/BPF)
This formula uses 1 Functions, 4 Variables
Functions Used
ln - Natural logarithm function (base e), ln(Number)
Variables Used
Logarithmic mean temperature difference - Logarithmic mean temperature difference is the log of mean of the temperature values.
Final Temperature - (Measured in Kelvin) - Final Temperature is the measure of hotness or coldness of a system at its final state.
Initial Temperature - (Measured in Kelvin) - Initial Temperature is the measure of hotness or coldness of a system at its initial state.
By pass factor - By pass factor is the inability of a coil to cool or heat the air to its temperature.
STEP 1: Convert Input(s) to Base Unit
Final Temperature: 345 Kelvin --> 345 Kelvin No Conversion Required
Initial Temperature: 305 Kelvin --> 305 Kelvin No Conversion Required
By pass factor: 0.8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ΔTm = (Tf-Ti)/ln(1/BPF) --> (345-305)/ln(1/0.8)
Evaluating ... ...
ΔTm = 179.256804708982
STEP 3: Convert Result to Output's Unit
179.256804708982 --> No Conversion Required
FINAL ANSWER
179.256804708982 <-- Logarithmic mean temperature difference
(Calculation completed in 00.016 seconds)

Credits

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore
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7 By-pass Factor of Heating and Cooling coil Calculators

Sensible heat given out by coil using by-pass factor
Sensible Heat = (Overall heat transfer coefficient*Surface Area of Coil*(Final Temperature-Initial Temperature))/ln(1/By pass factor) Go
By-pass Factor of heating coil
By pass factor = exp(-((Overall heat transfer coefficient*Surface Area of Coil)/(Mass of air*Specific Heat Capacity))) Go
By-pass Factor of cooling coil
By pass factor = exp(-((Overall heat transfer coefficient*Surface Area of Coil)/(Mass of air*Specific Heat Capacity))) Go
Mass of air passing over the coil given by-pass factor
Mass of air = -((Overall heat transfer coefficient*Surface Area of Coil)/(Specific Heat Capacity*ln(By pass factor))) Go
Overall heat transfer coefficient given by-pass factor
Overall heat transfer coefficient = -((ln(By pass factor)*Mass of air*Specific Heat Capacity)/Surface Area of Coil) Go
Surface area of coil given by-pass factor
Surface Area of Coil = -((ln(By pass factor)*Mass of air*Specific Heat Capacity)/Overall heat transfer coefficient) Go
LMTD of coil given by-pass factor
Logarithmic mean temperature difference = (Final Temperature-Initial Temperature)/ln(1/By pass factor) Go

LMTD of coil given by-pass factor Formula

Logarithmic mean temperature difference = (Final Temperature-Initial Temperature)/ln(1/By pass factor)
ΔTm = (Tf-Ti)/ln(1/BPF)

What is By-pass factor?

The inability of a coil to cool or heat the air to its temperature is indicated by a factor called the by-pass factor (BPF) or Coil Bypass Factor. This inability is due to the coil inefficiency and some amount of air just bypassing the coil without getting affected by it. A coil with low BPF has better performance. BPF can also be defined as the ratio of air that is unaffected by the coil to the total quantity of air passing over the coil.

How to Calculate LMTD of coil given by-pass factor?

LMTD of coil given by-pass factor calculator uses Logarithmic mean temperature difference = (Final Temperature-Initial Temperature)/ln(1/By pass factor) to calculate the Logarithmic mean temperature difference, The LMTD of coil given by-pass factor formula calculates the logarithmic mean temperature difference of the coil by using the by-pass factor. Logarithmic mean temperature difference is denoted by ΔTm symbol.

How to calculate LMTD of coil given by-pass factor using this online calculator? To use this online calculator for LMTD of coil given by-pass factor, enter Final Temperature (Tf), Initial Temperature (Ti) & By pass factor (BPF) and hit the calculate button. Here is how the LMTD of coil given by-pass factor calculation can be explained with given input values -> 179.2568 = (345-305)/ln(1/0.8).

FAQ

What is LMTD of coil given by-pass factor?
The LMTD of coil given by-pass factor formula calculates the logarithmic mean temperature difference of the coil by using the by-pass factor and is represented as ΔTm = (Tf-Ti)/ln(1/BPF) or Logarithmic mean temperature difference = (Final Temperature-Initial Temperature)/ln(1/By pass factor). Final Temperature is the measure of hotness or coldness of a system at its final state, Initial Temperature is the measure of hotness or coldness of a system at its initial state & By pass factor is the inability of a coil to cool or heat the air to its temperature.
How to calculate LMTD of coil given by-pass factor?
The LMTD of coil given by-pass factor formula calculates the logarithmic mean temperature difference of the coil by using the by-pass factor is calculated using Logarithmic mean temperature difference = (Final Temperature-Initial Temperature)/ln(1/By pass factor). To calculate LMTD of coil given by-pass factor, you need Final Temperature (Tf), Initial Temperature (Ti) & By pass factor (BPF). With our tool, you need to enter the respective value for Final Temperature, Initial Temperature & By pass factor 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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