# C051 – Gas Flow Rate – Pulse Output Meter

## Description

This calculates the flow rate for pulse output based meters for gaseous fluids.

## References

IP Petroleum Measurement Manual Part Ⅻ – Static and Dynamic Measurement of Light Hydrocarbon Liquids – Section 1: Calculation Procedures

AGA Report No.7 – Measurement of Natural Gas by Turbine Meters

Kelton calculation reference C051

KIMS calculation reference K133

Kelton calculation C244 – Calibration Correction

Kelton calculation C248 – Gas Flow Rate Conversion from Qv

Kelton calculation C261 – Gas Flow Rate Conversion from Qm

## Options

### Factor Type

- Meter Factor
- K-Factor

This option is used to select the whether a meter factor will be applied to the flow rate calculation. Note that K-factor will always be an input.

### Meter Type

- Volume
- Mass

This option is used to select whether physics of the meter in question infers mass or volume flow rate from its direct outputs.

### Ctsm

- Not applied
- User entered
- Calculated

This option is used to select whether a correction for temperature on the steel of the meter is made and whether this correction is user entered or calculated.

### Cpsm

- Not applied
- User entered
- Calculated

This option is used to select whether a correction for pressure on the steel of the meter is made and whether this correction is user entered or calculated.

### Interpolation Factor

- Apply

This option is used to apply an interpolation factor.

### Calibration Correction

- Apply

This option is used to apply a calibration correction using C244.

### Correction Method

- Before Spool Correction
- After Spool Correction

This option is used to specify whether there is a linearization applied to the flow rate. If linearization is applied to the raw volume flow rate then select before spool correction, if it is done after correction factors have been applied select after spool correction.

### Spool Temperature Coefficient

- Cubic
- Linear (Approximate)
- Linear (Full)

This option is used to select the temperature coefficient applied for the C

_{tsm}calculation is linear or cubic.

### Calculate for

- Mass
- Observed volume
- Standard volume
- Normal volume
- Energy

## Calculation

### Correction for temperature on steel of meter

The C_{tsm} is calculated by:

Where | ||
---|---|---|

α_{sp} |
= | Meter temperature coefficient |

T_{sp} |
= | Meter temperature |

T_{rf} |
= | Meter reference temperature |

### Correction for pressure on steel of meter

The C_{psm} is calculated by:

Where | ||

λ_{sp} |
= | Meter pressure coefficient |

P_{sp} |
= | Meter pressure |

P_{rf} |
= | Meter reference pressure |

### Uncorrected volume flow rate

The uncorrected volume flow rate is calculated by:

Where | ||
---|---|---|

f | = | Frequency |

K_{f} |
= | K-factor (Will be pulses per volume or pulses per mass depending on whether output flow rate is volumetric or mass based) |

### Corrected Flow Rate

The flow rate, observed volume or mass, is calculated by :

Where | ||

IntF | = | Interpolation factor |

MF | = | Meter factor |

f | = | Frequency |

K_{f} |
= | K-factor |

C_{tsm} |
= | Correction for temperature on steel of meter |

C_{psm} |
= | Correction for pressure on steel of meter |

C_{cal} |
= | Calibration correction |

Note that correction factors are set equal to one if they are not required for the calculation of flow rate.

Other flow rate types are calculated using one of the flow rate converters.