A large three-dimensional pipe of circular section with radius R = 0.2 m is part of a hydroelectric power, running vertically and connecting the dammed water at the top to the water turbine and generator at the bottom. During the night the water is pumped back up into the dam and the flow field is, for simplicity, assumed to be steady state, fully developed and with a velocity profile given by V = dp -² (1-3 (1-2) 4μ dz The pressure gradient is generated by a pump to drive the flow upwards. You may take the density of water to be p = 1000 kg/m³ and dynamic viscosity μ = 0.001 Pa s, and the acceleration due to gravity as g =(0,0,-9.8) m s². What is the Reynolds number for this flow when the pressure gradient generated by a pump is dp/dz = -9801 Pa/m? The characteristic length is the pipe diameter. What is the wall shear stress magnitude in the pipe for this flow? Is the assumed velocity profile accurate for this flow, considering a region of the pipe far from inlet or outlet section? Type the number of one of the following options: 1. Yes, the velocity profile is a good approximation 2. No, because the flow is in fact laminar 3. No, because the fluid is in fact non-Newtonian 4. No, because the flow is in fact turbulent 5. none of the above

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Concept explainers

Question

please provide step-by-step calculations

Transcribed Image Text:A large three-dimensional pipe of circular section with radius R = 0.2 m is part of a hydroelectric power, running vertically and connecting the dammed water at the top to the water turbine and generator at the bottom. During the night the water is pumped back up into the dam and the flow field is, for simplicity, assumed to be steady state, fully developed and with a velocity profile given by V = Z -R² dp 4μ dz -pg R² The pressure gradient is generated by a pump to drive the flow upwards. You may take the density of water to be p = 1000 kg/m³ and dynamic viscosity μ = 0.001 Pa s, and the acceleration due to gravity as g =(0,0,-9.8) m s-². What is the Reynolds number for this flow when the pressure gradient generated by a pump is dp/dz = -9801 Pa/m? The characteristic length is the pipe diameter. What is the wall shear stress magnitude in the pipe for this flow? Is the assumed velocity profile accurate for this flow, considering a region of the pipe far from inlet or outlet section? Type the number of one of the following options: 1. Yes, the velocity profile is a good approximation 2. No, because the flow is in fact laminar 3. No, because the fluid is in fact non-Newtonian 4. No, because the flow is in fact turbulent 5. none of the above

Expert Solution

Step by step

Solved in 5 steps with 24 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions