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The pressure at the exit of the needle, \(P_{2}\), is just the blood pressure (\(80\text{ mmHg}+1\text{atm}\)). The radius of the needle is \(0.60\text{ mm/}2 = 0.30\text{ mm}\). The flow rate has to be in units of \(\text{m}^{3}\text{/s}\). The flow rate in the appropriate units is thus:
To illustrate the sensitivity of flow rate to various factors, calculate the new flow rate for the following changes with all other factors remaining the same as in the original conditions. (a) Pressure difference increases by a factor of 1.50. (b) A new fluid with 3.00 times greater viscosity is substituted.
Archimedes’ Principle, Pascal’s Law and Bernoulli’s Principle Lesson— Practice Problems Worksheet Answer Key 3 5. Calculate the absolute pressure at an ocean depth of 1.0 x 103 m. Assume that the density of the water is 1.025 x 103 kg/m3 and that P 0 = 1.01 x 105 Pa. Given: h = 1.0 x 103 m ρ = 1.025 x 103 kg/m3 P atm or P o = 1.01 x ...
20 Ιουλ 2022 · The rate R that the water flows at point 1 satisfies \(R=A_{1} v_{1}=\pi\left(d_{1} / 2\right)^{2} v_{1}\). Therefore, the speed of the water at point 1 is \[v_{1}=\frac{R}{\pi\left(d_{1} / 2\right)^{2}}=\frac{2.0 \times 10^{-3} \mathrm{m}^{3} \cdot \mathrm{s}^{-1}}{\pi(1.5 \mathrm{m})^{2}}=2.8 \times 10^{-4} \mathrm{m} \cdot \mathrm{s}^{-1 ...
Flow rate: m3s 1, Viscosity: Pas; Pressure Volume: J, Reynolds number: no units (it’s dimensionless) 2. You are filling your car with petrol, which emerges from pump through a pipe with a 3 cm diameter at a speed of 50 cm/s. (a) Calculate the flow rate. Solution: (a)Petrol is an incompressible so the continuity equation holds. Flow rate (Q ...
Practice Problem P7. 50 kg/s of steam at 700 kPa and 280oC is mixed with some liquid water at 40oC. Exits at 700 kPa and 200oC. What is the flow rate of liquid water? Operation is adibatic (Q = 0). Just a mixing process, we can also assume no shaft work (Ws = 0).
Suppose water flows through a horizontal hose that narrows from an 8.0 cm diameter to a 4.0 cm diameter. What is the volume rate of flow if the gauge pressures in these sections are 33.0 kPa and 25.0 kPa, respectively?
