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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Formula

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LMTD of Coil given By-Pass Factor

Formula

`"ΔT"_{"m"} = ("T"_{"f"}-"T"_{"i"})/ln(1/"BPF")`

Example

`"1476.751"=("345K"-"105K")/ln(1/"0.85")`

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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: 345 Kelvin --> 345 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) --> (345-105)/ln(1/0.85)

Evaluating ... ...

ΔT_m = 1476.75105134929

STEP 3: Convert Result to Output's Unit

1476.75105134929 --> No Conversion Required

FINAL ANSWER

1476.75105134929 ≈ 1476.751 <-- Logarithmic Mean Temperature Difference

(Calculation completed in 00.004 seconds)

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Home » Physics » Refrigeration and Air Conditioning » Psychrometry » 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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< 12 By-Pass Factor Calculators

Sensible Heat given Out by Coil using By-Pass Factor

Go Sensible Heat = (Overall Heat Transfer Coefficient*Surface Area of Coil*(Final Temperature-Initial Temperature))/ln(1/By Pass Factor)

Mass of Air Passing over Coil given By-Pass Factor

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

By-Pass Factor of Heating Coil

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

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

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

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

Go Logarithmic Mean Temperature Difference = (Final Temperature-Initial Temperature)/ln(1/By Pass Factor)

Efficiency of Cooling Coil

Go Efficiency = (Initial Temperature-Final Temperature)/(Initial Temperature-Temperature of Coil)

Efficiency of Heating Coil

Go Efficiency = (Final Temperature-Initial Temperature)/(Temperature of Coil-Initial Temperature)

Wet Bulb Depression

Go Wet Bulb Depression = Dry Bulb Temperature in °C-Wet Bulb Temperature

Efficiency of Heating Coil given By-pass Factor

Go Efficiency = 1-By Pass Factor

Efficiency of Cooling Coil given By-pass Factor

Go Efficiency = 1-By Pass Factor

LMTD of Coil given By-Pass Factor Formula

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, 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 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 -> 1476.751 = (345-105)/ln(1/0.85).

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 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?

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 (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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