Surface Area of Coil given By-Pass Factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Surface Area of Coil = -(ln(By Pass Factor)*Mass of Air*Specific Heat Capacity)/Overall Heat Transfer Coefficient
Ac = -(ln(BPF)*mair*c)/U
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
Surface Area of Coil - (Measured in Square Meter) - The Surface Area of Coil is the total area of the coil through which any fluid passes.
By Pass Factor - By Pass Factor is the inability of a coil to cool or heat the air to its temperature.
Mass of Air - (Measured in Kilogram) - Mass of Air is both a property of air and a measure of its resistance to acceleration when a net force is applied.
Specific Heat Capacity - (Measured in Joule per Kilogram per K) - Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.
Overall Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - Overall heat transfer coefficient is the overall convective heat transfer between a fluid medium (a fluid) and the surface (wall) flowed over by the fluid.
STEP 1: Convert Input(s) to Base Unit
By Pass Factor: 0.85 --> No Conversion Required
Mass of Air: 6 Kilogram --> 6 Kilogram No Conversion Required
Specific Heat Capacity: 4.184 Kilojoule per Kilogram per K --> 4184 Joule per Kilogram per K (Check conversion here)
Overall Heat Transfer Coefficient: 50 Watt per Square Meter per Kelvin --> 50 Watt per Square Meter per Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ac = -(ln(BPF)*mair*c)/U --> -(ln(0.85)*6*4184)/50
Evaluating ... ...
Ac = 81.5975041222428
STEP 3: Convert Result to Output's Unit
81.5975041222428 Square Meter --> No Conversion Required
FINAL ANSWER
81.5975041222428 81.5975 Square Meter <-- Surface Area of Coil
(Calculation completed in 00.004 seconds)

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7 By-Pass Factor of Heating and Cooling coil 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)

Surface Area of Coil given By-Pass Factor Formula

Surface Area of Coil = -(ln(By Pass Factor)*Mass of Air*Specific Heat Capacity)/Overall Heat Transfer Coefficient
Ac = -(ln(BPF)*mair*c)/U

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 Surface Area of Coil given By-Pass Factor?

Surface Area of Coil given By-Pass Factor calculator uses Surface Area of Coil = -(ln(By Pass Factor)*Mass of Air*Specific Heat Capacity)/Overall Heat Transfer Coefficient to calculate the Surface Area of Coil, The Surface area of coil given by-pass factor formula calculates the total surface of the coil through which the air passes by using the by-pass factor. Surface Area of Coil is denoted by Ac symbol.

How to calculate Surface Area of Coil given By-Pass Factor using this online calculator? To use this online calculator for Surface Area of Coil given By-Pass Factor, enter By Pass Factor (BPF), Mass of Air (mair), Specific Heat Capacity (c) & Overall Heat Transfer Coefficient (U) and hit the calculate button. Here is how the Surface Area of Coil given By-Pass Factor calculation can be explained with given input values -> 81.5975 = -(ln(0.85)*6*4184)/50.

FAQ

What is Surface Area of Coil given By-Pass Factor?
The Surface area of coil given by-pass factor formula calculates the total surface of the coil through which the air passes by using the by-pass factor and is represented as Ac = -(ln(BPF)*mair*c)/U or Surface Area of Coil = -(ln(By Pass Factor)*Mass of Air*Specific Heat Capacity)/Overall Heat Transfer Coefficient. By Pass Factor is the inability of a coil to cool or heat the air to its temperature, Mass of Air is both a property of air and a measure of its resistance to acceleration when a net force is applied, Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount & Overall heat transfer coefficient is the overall convective heat transfer between a fluid medium (a fluid) and the surface (wall) flowed over by the fluid.
How to calculate Surface Area of Coil given By-Pass Factor?
The Surface area of coil given by-pass factor formula calculates the total surface of the coil through which the air passes by using the by-pass factor is calculated using Surface Area of Coil = -(ln(By Pass Factor)*Mass of Air*Specific Heat Capacity)/Overall Heat Transfer Coefficient. To calculate Surface Area of Coil given By-Pass Factor, you need By Pass Factor (BPF), Mass of Air (mair), Specific Heat Capacity (c) & Overall Heat Transfer Coefficient (U). With our tool, you need to enter the respective value for By Pass Factor, Mass of Air, Specific Heat Capacity & Overall Heat Transfer Coefficient 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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