Flow Rate of a Deflation Balloon

AI Thread Summary
The discussion centers on the flow rate of a drug delivery infusion pump, which operates at a nearly constant rate of 5mL/hr until the 500mL drug is depleted over 100 hours. To derive the flow rate as a function of time, a piecewise function can be established, indicating a flow rate of 5mL/hr for the first 100 hours and 0 thereafter. Additionally, the relationship between temperature and viscosity is highlighted, noting that increased temperature typically decreases viscosity, which in turn can enhance flow rate. The Poiseuille-Hagen equation is suggested as a potential method for modeling these relationships. Understanding these dynamics is crucial for optimizing drug delivery systems.
wuyx724
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A drug delivery infusion pump is made out of thick synthetic rubber and has a very small outlet. The balloon pump is filled with 500mL liquid drug and is now inflated into a ball shape. The drug will exit from the very small outlet at a nearly (but not always) constant flow rate of 5mL/hr (takes 100hr to deplete).

How can I derive the flow rate as a function of time?
I'd also like to know how the temperature and drug viscosity affect the flow rate.

Someone suggested me to use Poiseuille-Hagen equation, but I need to know more details, especially how I can relate the flow rate to time and establish a model.

Your insight will be highly appreciated!
:smile:
 
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wuyx724 said:
A drug delivery infusion pump is made out of thick synthetic rubber and has a very small outlet. The balloon pump is filled with 500mL liquid drug and is now inflated into a ball shape. The drug will exit from the very small outlet at a nearly (but not always) constant flow rate of 5mL/hr (takes 100hr to deplete).

How can I derive the flow rate as a function of time?
I'd also like to know how the temperature and drug viscosity affect the flow rate.
the flow rate is constant meaning it remains at 5ml/hr until 100hr is surpassed. so i'd be a piecewise function that looks like this:

given x is time in hours and y is in ml/hr
if 0<x<100 then y=5
if x>100 then y=0

the temperature and viscosity are almost always related in such a manner
as temperature rises viscosity drops and vice-versa
and if viscosity drops then flow rate is usually increased.
 

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