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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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

Surface Area of Coil given By-Pass Factor Formula

​LaTeX ​Go
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, Surface Area of Coil given By-Pass Factor formula is defined as a measure of the total area of the coil that is exposed to the air, which affects the heat transfer process, and is influenced by the by-pass factor, air mass, and other thermal properties. 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?
Surface Area of Coil given By-Pass Factor formula is defined as a measure of the total area of the coil that is exposed to the air, which affects the heat transfer process, and is influenced by the by-pass factor, air mass, and other thermal properties 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?
Surface Area of Coil given By-Pass Factor formula is defined as a measure of the total area of the coil that is exposed to the air, which affects the heat transfer process, and is influenced by the by-pass factor, air mass, and other thermal properties 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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