Pump flow rate

Input(s)

D: Rotor Diameter (in.)

E: Rotor/Stator Eccentricity (in.)

$\mathrm{N}$: Rotary Speed $(\mathrm{rpm})$

$\mathrm{Q}_{\mathrm{s}}$: Leak Rate $(\mathrm{bbl} / \mathrm{d})$

$\mathrm{P}_{\mathrm{s}}$: Pitch Length of Stator $(\mathrm{ft})$

Output(s)

$\mathrm{Q}_{\mathrm{e}}$: Pump Flow Rate $(\mathrm{bbl} / \mathrm{d})$

Formula(s)

$$ \mathrm{Q}_{\mathrm{e}}=7.12 * \mathrm{D} * \mathrm{E} * \mathrm{P}_{\mathrm{s}} * \mathrm{~N}-\mathrm{Q}_{\mathrm{s}} $$

Reference(s)

Boyun, G., William, C., \& Ali Ghalambor, G. (2007). Petroleum Production Engineering:A Computer-Assisted Approach, Page: 14.