A liquid with \(S G=0.96, \mu=9.2 \times 10^{-4} \mathrm{~N} \cdot \mathrm{s} / \mathrm{m}^{2}\), and vapor pressure \(p_{u}=1.2 \times 10^{4} \mathrm{~N} / \mathrm{m}^{2}\) (abs) is drawn into the syringe as is indicated in Fig P8.22. What is the maximum flowrate if cavitation is not to occur in the syringe?

Figure P8.22

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Patm = 0.12 m 101 kPa (abs) 10-mm-diameter 0.25-mm-diameter 0.10-m-long needle