5. A container of solution for an intravenous drip is open to the atmosphere and supported above the patient. The drip is administered through a needle inserted into the vein. The needle has length 25 mm and internal radius 0.30 mm. a) If the fluid has no viscosity, the fluid flows into the vein at a speed of v 1.4 m/s. Calculate the volume flow rate Q into the vein. b) Now suppose that the fluid has viscosity 1.0 x 10 Pas, and needs to flow at a rate of Q=2.8x10 m'/s (which is 1 litre/hour). What pressure difference is required between the ends of the needle? Hints:

5. A container of solution for an intravenous drip is open to the atmosphere and supported above the patient. The drip is administered through a needle inserted into the vein. The needle has length 25 mm and internal radius 0.30 mm. a) If the fluid has no viscosity, the fluid flows into the vein at a speed of v 1.4 m/s. Calculate the volume flow rate Q into the vein. b) Now suppose that the fluid has viscosity 1.0 x 10 Pas, and needs to flow at a rate of Q=2.8x10 m'/s (which is 1 litre/hour). What pressure difference is required between the ends of the needle? Hints:

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter14: Fluid Mechanics

Section: Chapter Questions

Problem 129CP: Fluid originally flows through a tube at a rate of 100 cm3/s. To illustrate the sensitivity of flow...

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