A medical syringe (shown below) is used to inject a patient with a local anaesthetic before performing outpatient surgery. The anaesthetic can be modeled as an incompressible fluid with specific gravity, S = 1.02. Determine the plunger velocity, in units of in/s, if the anaesthetic is to be delivered at a constant 7 cm3 s −1 when the syringe is modeled as being perfectly sealed, and there is backward leakage between the plunger and syringe at a rate of 10% of the volume flow rate delivered through the needle. Note that anaesthetic is still to be delivered to the patient at 7 cm3 s −1 , despite this leakage.
A medical syringe (shown below) is used to inject a patient with a local anaesthetic before performing outpatient surgery. The anaesthetic can be modeled as an incompressible fluid with specific gravity, S = 1.02. Determine the plunger velocity, in units of in/s, if the anaesthetic is to be delivered at a constant 7 cm3 s −1 when the syringe is modeled as being perfectly sealed, and there is backward leakage between the plunger and syringe at a rate of 10% of the volume flow rate delivered through the needle. Note that anaesthetic is still to be delivered to the patient at 7 cm3 s −1 , despite this leakage.
The velocity of plunger despite of leakage is 0.598 in/s.
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