Mass of Air Passing over Coil given By-Pass Factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mass of Air = -((Overall Heat Transfer Coefficient*Surface Area of Coil)/(Specific Heat Capacity*ln(By Pass Factor)))
mair = -((U*Ac)/(c*ln(BPF)))
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
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.
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.
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.
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.
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
Overall Heat Transfer Coefficient: 50 Watt per Square Meter per Kelvin --> 50 Watt per Square Meter per Kelvin No Conversion Required
Surface Area of Coil: 64 Square Meter --> 64 Square Meter No Conversion Required
Specific Heat Capacity: 4.184 Kilojoule per Kilogram per K --> 4184 Joule per Kilogram per K (Check conversion ​here)
By Pass Factor: 0.85 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
mair = -((U*Ac)/(c*ln(BPF))) --> -((50*64)/(4184*ln(0.85)))
Evaluating ... ...
mair = 4.70602629493081
STEP 3: Convert Result to Output's Unit
4.70602629493081 Kilogram --> No Conversion Required
FINAL ANSWER
4.70602629493081 4.706026 Kilogram <-- Mass of Air
(Calculation completed in 00.020 seconds)

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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

Mass of Air Passing over Coil given By-Pass Factor Formula

​LaTeX ​Go
Mass of Air = -((Overall Heat Transfer Coefficient*Surface Area of Coil)/(Specific Heat Capacity*ln(By Pass Factor)))
mair = -((U*Ac)/(c*ln(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 Mass of Air Passing over Coil given By-Pass Factor?

Mass of Air Passing over Coil given By-Pass Factor calculator uses Mass of Air = -((Overall Heat Transfer Coefficient*Surface Area of Coil)/(Specific Heat Capacity*ln(By Pass Factor))) to calculate the Mass of Air, Mass of Air Passing over Coil given By-Pass Factor formula is defined as a measure of the amount of air that flows over a coil in an air conditioning or refrigeration system, taking into account the by-pass factor that affects the airflow rate and heat transfer. Mass of Air is denoted by mair symbol.

How to calculate Mass of Air Passing over Coil given By-Pass Factor using this online calculator? To use this online calculator for Mass of Air Passing over Coil given By-Pass Factor, enter Overall Heat Transfer Coefficient (U), Surface Area of Coil (Ac), Specific Heat Capacity (c) & By Pass Factor (BPF) and hit the calculate button. Here is how the Mass of Air Passing over Coil given By-Pass Factor calculation can be explained with given input values -> 4.706026 = -((50*64)/(4184*ln(0.85))).

FAQ

What is Mass of Air Passing over Coil given By-Pass Factor?
Mass of Air Passing over Coil given By-Pass Factor formula is defined as a measure of the amount of air that flows over a coil in an air conditioning or refrigeration system, taking into account the by-pass factor that affects the airflow rate and heat transfer and is represented as mair = -((U*Ac)/(c*ln(BPF))) or Mass of Air = -((Overall Heat Transfer Coefficient*Surface Area of Coil)/(Specific Heat Capacity*ln(By Pass Factor))). 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, The Surface Area of Coil is the total area of the coil through which any fluid passes, Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount & By Pass Factor is the inability of a coil to cool or heat the air to its temperature.
How to calculate Mass of Air Passing over Coil given By-Pass Factor?
Mass of Air Passing over Coil given By-Pass Factor formula is defined as a measure of the amount of air that flows over a coil in an air conditioning or refrigeration system, taking into account the by-pass factor that affects the airflow rate and heat transfer is calculated using Mass of Air = -((Overall Heat Transfer Coefficient*Surface Area of Coil)/(Specific Heat Capacity*ln(By Pass Factor))). To calculate Mass of Air Passing over Coil given By-Pass Factor, you need Overall Heat Transfer Coefficient (U), Surface Area of Coil (Ac), Specific Heat Capacity (c) & By Pass Factor (BPF). With our tool, you need to enter the respective value for Overall Heat Transfer Coefficient, Surface Area of Coil, Specific Heat Capacity & 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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