What is the minimum id of the drainage lumen to just meet the flow rate requirem

Question

What is the minimum id of the drainage lumen to just meet the flow rate requirement of 100cc/min? id =__________ units____________ The catheter has a drainage lumen and an inflation lumen. The distance (z) is the same a). between the outer wall and drainage lumen, b). wall between drainage lumen and inflation lumen, and c)wall between inflation lumen and outer wall. Catheter od = drainage lumen id + inflation lumen id + 3*z.

2). What is the greatest id for a drainage lumen? id =___ mm 3).

With this new drainage lumen in 2) what flow rate would be expected using the test fixture in Fig 3? Flow rate =____ cc/min

Pressure P Drop Drop P Volume Flowrate B-B 2 (Pressure difference)(radius)4 == R 8lvscosity)/length) Resistance to flow Resistance8nL to Flow 4 Tr

Explanation / Answer

Unable to make out the value of OD in from your question. substitute yourself.

volume flow rate = pi * pressure difference * r^4 / (8 * viscosity * length)

                          = pi * 9.8 * 0.2 * (OD^4 - ID^4) / (16 * 8 * 10^-6 * 0.35)

volume flow rate = 0.1374447 * (OD^4 - ID^4) * 10^6

100 / 60   = 0.1374447 * (OD^4 - ID^4)

ID^4   = OD^4 - 12.126       mm^4

Substitute value of OD in mm to find ID in mm

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