Water flows through the system of pipes shown in the figure below. Vz=0.9[m/s] 2 1 A...

 

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Water flows through the system of pipes shown in the figure below. Vz=0.9[m/s] 2 1 A P=latm h = 2.5(m] The cross-sectional areas of the two pipes are A=257[cm ].a=9x[cm²] . (a) Calculate the pressures P, & P, at the center of the pipes at points 2 (just prior to the constriction) and 3 (at the lower elevation)., and velocities at the center of the lower pipe (v, ) and the center of the small pipe at the exit (y). (b) The total length of the large diameter pipe is 6 meters and the small pipe is 1.5 meters long. We now consider the effects of viscosity. In order to maintain the same volume flow dV rate as for the non-viscous case, = ay , what pressure difference must exist between dt the two ends of the small diameter pipe? What is the pressure at the restriction then? (c) Furthering our investigation, we now consider the large diameter pipe. For Bernoulli's law (no viscosity) how did the volume flow rates compare for the upper and lower pipes? Now with viscosity and the 6[m] length, what pressure difference is necessary to keep that flow rate the same? (d) What happens to the pressure difference due to the height? What does this give as the total pressure difference between point 3 at the bottom and the constriction at point 27 Explain the reasoning behind your answer. (e) A student makes the statement that "If there were no flow (a nozzle at the top is closed), the pressure would be the same in all parts of the system." Do you agree with the student or not and explain your reasoning? Water flows through the system of pipes shown in the figure below. Vz=0.9[m/s] 2 1 A P=latm h = 2.5(m] The cross-sectional areas of the two pipes are A=257[cm ].a=9x[cm²] . (a) Calculate the pressures P, & P, at the center of the pipes at points 2 (just prior to the constriction) and 3 (at the lower elevation)., and velocities at the center of the lower pipe (v, ) and the center of the small pipe at the exit (y). (b) The total length of the large diameter pipe is 6 meters and the small pipe is 1.5 meters long. We now consider the effects of viscosity. In order to maintain the same volume flow dV rate as for the non-viscous case, = ay , what pressure difference must exist between dt the two ends of the small diameter pipe? What is the pressure at the restriction then? (c) Furthering our investigation, we now consider the large diameter pipe. For Bernoulli's law (no viscosity) how did the volume flow rates compare for the upper and lower pipes? Now with viscosity and the 6[m] length, what pressure difference is necessary to keep that flow rate the same? (d) What happens to the pressure difference due to the height? What does this give as the total pressure difference between point 3 at the bottom and the constriction at point 27 Explain the reasoning behind your answer. (e) A student makes the statement that "If there were no flow (a nozzle at the top is closed), the pressure would be the same in all parts of the system." Do you agree with the student or not and explain your reasoning?

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aUsing Bernoullis equation Pressure KE PE constant P 1 v 1 2 gh 1 P 2 v 2 2 gh 2 And the equation of ... View the full answer