LMTD of Coil given By-Pass Factor Calculator

✖Final Temperature is the measure of hotness or coldness of a system at its final state.ⓘ Final Temperature [T_f]			+10% -10%
✖Initial Temperature is the measure of hotness or coldness of a system at its initial state.ⓘ Initial Temperature [T_i]			+10% -10%
✖By Pass Factor is the inability of a coil to cool or heat the air to its temperature.ⓘ By Pass Factor [BPF]			+10% -10%

✖Logarithmic Mean Temperature Difference is the log of the mean of the temperature values.ⓘ LMTD of Coil given By-Pass Factor [ΔT_m]

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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)
ΔT_m = (T_f-T_i)/ln(1/BPF)
This formula uses 1 Functions, 4 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.
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: 107 Kelvin --> 107 Kelvin No Conversion Required
Initial Temperature: 105 Kelvin --> 105 Kelvin No Conversion Required
By Pass Factor: 0.85 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔT_m = (T_f-T_i)/ln(1/BPF) --> (107-105)/ln(1/0.85)

Evaluating ... ...

ΔT_m = 12.3062587612441

STEP 3: Convert Result to Output's Unit

12.3062587612441 --> No Conversion Required

FINAL ANSWER

12.3062587612441 ≈ 12.30626 <-- Logarithmic Mean Temperature Difference

(Calculation completed in 00.004 seconds)

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Home » Physics » Refrigeration and Air Conditioning » Psychrometry » Mechanical » By Pass Factor » LMTD of Coil given By-Pass Factor

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Created by Ravi Khiyani

Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore

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< By Pass Factor Calculators

By-Pass Factor of Heating Coil

LaTeX Go By Pass Factor = exp(-(Overall Heat Transfer Coefficient*Surface Area of Coil)/(Mass of Air*Specific Heat Capacity))

By-Pass Factor of Cooling Coil

LaTeX Go By Pass Factor = exp(-(Overall Heat Transfer Coefficient*Surface Area of Coil)/(Mass of Air*Specific Heat Capacity))

Overall Heat Transfer Coefficient given By-Pass Factor

LaTeX Go Overall Heat Transfer Coefficient = -(ln(By Pass Factor)*Mass of Air*Specific Heat Capacity)/Surface Area of Coil

Surface Area of Coil given By-Pass Factor

LaTeX Go Surface Area of Coil = -(ln(By Pass Factor)*Mass of Air*Specific Heat Capacity)/Overall Heat Transfer Coefficient

LMTD of Coil given By-Pass Factor Formula

LaTeX Go

Logarithmic Mean Temperature Difference = (Final Temperature-Initial Temperature)/ln(1/By Pass Factor)
ΔT_m = (T_f-T_i)/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, LMTD of Coil given By-Pass Factor formula is a measure of the logarithmic mean temperature difference in a coil, which is affected by the bypass factor, and is used to determine the heat transfer rate in a coil under different bypass conditions. Logarithmic Mean Temperature Difference is denoted by ΔT_m 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 (T_f), Initial Temperature (T_i) & 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 -> 12.30626 = (107-105)/ln(1/0.85).

FAQ

What is LMTD of Coil given By-Pass Factor?

LMTD of Coil given By-Pass Factor formula is a measure of the logarithmic mean temperature difference in a coil, which is affected by the bypass factor, and is used to determine the heat transfer rate in a coil under different bypass conditions and is represented as ΔT_m = (T_f-T_i)/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?

LMTD of Coil given By-Pass Factor formula is a measure of the logarithmic mean temperature difference in a coil, which is affected by the bypass factor, and is used to determine the heat transfer rate in a coil under different bypass conditions 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 (T_f), Initial Temperature (T_i) & 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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