Note this version of the analysis is taking into account how much of each type of barb is in the device. All probabilities in tables and the Red plane 3D plots are the combined probabilities that no one of that Barb type will fail.

Large Pump Barbs

4 large pump barbs in the device

The above plot shows all of our data points temperature and pressure are on the x and y axis. While the z-axis is how long the barb lasted (in days) without a failure, the higher the better. Because we didn’t run the test indefinitely we have some test barbs that never failed, they are marked in Red, the rest are in blue.

The purple/blue/yellow plane represents the models best guess at how long barbs will last for different temperature and pressure conditions. I only showed the plane for high pressures and high temperatures because the model quickly starts to predict that the barbs won’t fail for years. This makes it so that you can’t see the differences in our experiments. For example the below graph will give the models “plane” predictions for lower temps.

The below table shows the probability of all 4 of the Large Pump barbs lasting 3 years under different temperature and pressure conditions.

Large Pump Barbs Three-Year Success Probabilities
Temperature (°F) Pressure (PSI) Years Probability of No Failure
80 15 3 0.976
88 15 3 0.943
95 15 3 0.883
80 18 3 0.967
88 18 3 0.925
95 18 3 0.848
80 20 3 0.960
88 20 3 0.910
95 20 3 0.819

The below plot shows the probability of all 4 of the large pump barbs lasting 3 years under different temperature and pressure conditions. Here higher is better, please, please keep in mind that the z-axis is only showing you a specific range

Bottom Interface Barbs

2 bottom interface barbs in the device

All of the graphs are the same type as the large pump barbs, so I won’t go into detail on how to read them again.

Bottom Interface Barbs Three-Year Success Probabilities
Temperature (°F) Pressure (PSI) Years Probability of No Failure
80 15 3 0.993
88 15 3 0.985
95 15 3 0.968
80 18 3 0.991
88 18 3 0.980
95 18 3 0.957
80 20 3 0.989
88 20 3 0.975
95 20 3 0.949

One-way Barbs

2 One-way barbs in the device

One Way Barbs Three-Year Success Probabilities
Temperature (°F) Pressure (PSI) Years Probability of No Failure
80 15 3 0.998
88 15 3 0.996
95 15 3 0.991
80 18 3 0.998
88 18 3 0.995
95 18 3 0.988
80 20 3 0.997
88 20 3 0.993
95 20 3 0.986

Test Chamber Barbs

4 Test chamber barbs in the device

We assume that the test chamber barbs are the same as the Bottom Interface barbs. They have similar designs and behaved similarly in our phase 1 testing.

Test Chamber Barbs Three-Year Success Probabilities
Temperature (°F) Pressure (PSI) Years Probability of No Failure
80 15 3 0.987
88 15 3 0.970
95 15 3 0.936
80 18 3 0.983
88 18 3 0.959
95 18 3 0.916
80 20 3 0.979
88 20 3 0.951
95 20 3 0.900

Combining all Results for Total Probability (stacking)

4 Large Pump barbs in the device

2 Bottom interface barbs in the device

2 One way valve barbs in the device

4 Test chamber barbs in the device

Probability that Not One of the Barbs Will Fail in 3 Years
Temperature (°F) Pressure (PSI) Years Probability of No Failure
80 15 3 0.955
88 15 3 0.897
95 15 3 0.793
80 18 3 0.940
88 18 3 0.865
95 18 3 0.734
80 20 3 0.927
88 20 3 0.838
95 20 3 0.690

These numbers only makes sense if we say that the barbs act independently from each other and that one failing or struggling has no effect on the other barbs.

Key Findings

  1. Temperature and Pressure Effects
    • Both temperature and pressure have significant impacts on barb failure rates.
    • Pressure has a slightly stronger effect (each PSI difference is more important that each degree of temperature difference)
    • There’s not a lot of evidence that Pressure and Temperature interact with each other to affect the failure rate of the barbs.
  2. Barb Type Differences
    • Large pump barbs performed the worst but not statistically significantly worse than bottom interface barbs.
    • One way barbs performed the best, with statistically significantly lower failure rate than the other two types

End of Report