Solving Poiseuille's Law Trouble - Flow Rate Calculation

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    Law Poiseuille's law
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SUMMARY

The discussion focuses on calculating the flow rate through a tube divided into two sections using Poiseuille's Law. The first section has a length of 20 cm and a radius of 0.15 cm, while the second section measures 1.0 cm in length with a radius of 0.05 cm. A pressure difference of 3 cmHg is applied across the tube, and the viscosity of the fluid is 0.801 cP. The solution involves applying the equations for flow rate in each section and solving for the unknown pressure at the junction.

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rddimtbo
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Trouble with a problem. What is the flow rate if a tube consists of two sections, the first with a length of 20cm and radius 0.15cm and the second part with length 1.0cm radius 0.05? with a pressure difference across the entire tube of 3cmHg (p1-p3). (viscosity = 0.801 cP)

I've tried this and end up with two many unknowns and not enough equations. Can anybody help?
 
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\dot V = \frac{\pi \, r_1^4}{8\,\eta}\frac{p_3-p_2}{l_{32}}
\dot V = \frac{\pi \, r_2^4}{8\,\eta}\frac{p_2-p_1}{l_{21}}
Well, just solve this for p2 und dV/dt and you have your result :)
 

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