Air System Capacity Calculator

Detailed Description

This calculator estimates the total air volume that the compressed air system can contain at one time, including air in the piping network and receiver tanks. All formulas use U.S. customary units.

The pipe contribution comes from Compressed Air Pipe Data. Receiver tank entries are entered in gallons and converted to cubic feet before summing.

Total System Capacity

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Total compressed air system capacity from pipe volume and receiver volume.

The calculator adds the total contained pipe volume to the converted receiver volume.

\begin{equation}\label{eq:air-system-capacity-total} V_{system} = V_{pipe,total} + V_{receiver,total} \end{equation}

Symbols

\(V_{system}\)	Total compressed air system capacity \([\unit{ \cubicFoot}]\)
\(V_{pipe,total}\)	Total contained pipe volume \([\unit{ \cubicFoot}]\)
\(V_{receiver,total}\)	Total receiver volume \([\unit{ \cubicFoot}]\)

Receiver Volume Conversion

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Converts receiver capacities from gallons to cubic feet.

Each receiver capacity is divided by the existing implementation conversion factor, then the converted receiver volumes are summed.

\begin{equation}\label{eq:air-system-capacity-receiver-volume} V_{receiver,j} = \frac{G_j}{k_{gal}} \end{equation}

\begin{equation}\label{eq:air-system-capacity-total-receiver-volume} V_{receiver,total} = \sum_j V_{receiver,j} \end{equation}

Symbols

\(V_{receiver,j}\)	Converted volume for receiver j \([\unit{ \cubicFoot}]\)
\(G_j\)	Entered capacity for receiver j \([\unit{ \gallon}]\)
\(k_{gal}\)	Gallons per cubic foot conversion factor (7.480515625) \([\unit{ \gallon\per\cubicFoot}]\)
\(V_{receiver,total}\)	Total converted receiver volume \([\unit{ \cubicFoot}]\)

Pipe Volume

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Contained pipe volume for one nominal pipe size.

The length constructor multiplies each entered pipe length by a per-foot volume coefficient for that nominal pipe size.

\begin{equation}\label{eq:pipe-data-volume} V_i = L_i \cdot c_i \end{equation}

Symbols

\(V_i\)	Contained pipe volume for nominal size i \([\unit{ \cubicFoot}]\)
\(L_i\)	Installed pipe length for nominal size i \([\unit{ \foot}]\)
\(c_i\)	Pipe volume coefficient for nominal size i \([\unit{ \cubicFoot\per\foot}]\)

Modules
	Air System Capacity Formula
	Total compressed air system capacity from pipe volume and receiver volume.
	Receiver Volume Conversion Formula
	Converts receiver capacities from gallons to cubic feet.

Files
file	air_system_capacity.h
	Declarations for compressed air system capacity calculations.

Namespaces
namespace	air_system_capacity
	Compressed air system capacity calculator.

Classes
struct	air_system_capacity::Input
	Input parameters for the air system capacity calculation. More...
struct	air_system_capacity::Output
	Result of the air system capacity calculation. More...