Enter the liner/piston diameter and stroke length (inches or other supported units) into the calculator. The calculator will evaluate the single-cylinder barrels per stroke and show the equivalent triplex and quintuplex pump displacement.
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Barrels Per Stroke Formula
\begin{aligned}
BPS_{1} &= 0.00008095\,D^2S \\
BPS_{3} &= 3\,BPS_{1} \approx 0.0002429\,D^2S \\
BPS_{5} &= 5\,BPS_{1} \approx 0.0004048\,D^2S
\end{aligned}Variables:
- BPS1 is the single-cylinder barrels per stroke (bbl/stroke)
- BPS3 is the total barrels per stroke for a triplex pump (3 pistons) (bbl/stroke)
- BPS5 is the total barrels per stroke for a quintuplex pump (5 pistons) (bbl/stroke)
- D is the diameter (in)
- S is the stroke length (in)
To calculate single-cylinder Barrels Per Stroke, square the diameter, multiply by the stroke length, then multiply by 0.00008095. For a triplex pump multiply the single-cylinder result by 3, and for a quintuplex pump multiply by 5.
How to Calculate Barrels Per Stroke?
The following steps outline how to calculate the Barrels Per Stroke.
- First, determine the diameter (in).
- Next, determine the stroke length (in).
- Next, gather the formula from above (single-cylinder) = BPS1 = 0.00008095*D^2*S.
- Finally, calculate the Barrels Per Stroke.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
diameter (in) = 7.50
stroke length (in) = 6.0
Frequently Asked Questions
What is the significance of calculating Barrels Per Stroke in mechanical systems?
Calculating Barrels Per Stroke (BPS) is crucial in mechanical systems, especially in the oil and gas industry, as it helps in estimating the theoretical volume of fluid displaced by a piston in a single stroke. This measurement is essential for sizing and comparing pump capacity; actual delivered volume will depend on factors like volumetric efficiency and operating conditions.
How does the diameter of a piston affect the Barrels Per Stroke?
The diameter of a piston directly influences the Barrels Per Stroke since a larger diameter results in a greater area for the piston to act upon, thus displacing more volume per stroke. The relationship is quadratic, meaning that even small increases in diameter can significantly increase the BPS.
Can the Barrels Per Stroke formula be used for any type of fluid?
Yes. The formula gives the pump/cylinder’s geometric (theoretical) displacement and is independent of fluid type. However, the actual delivered volume can vary with volumetric efficiency due to compressibility, slippage, viscosity effects, and flow resistance.
Is it possible to increase the efficiency of a pump by adjusting the stroke length?
Changing stroke length changes pump displacement per stroke. For a required flow rate, a longer stroke can sometimes allow a lower pump speed (SPM), which may reduce some losses; however, overall efficiency depends on the pump design, operating conditions, and mechanical limits.
