# Problem 3 Pictured to the right is a pipe with a 90 degree bend and an annulus (a solid pipe

###### Question:

Problem 3 Pictured to the right is a pipe with a 90 degree bend and an annulus (a solid pipe on the inside). An important consideration in pipe flow is the losses due to friction, which is called head loss, h, and is mea sured in meters. Dimesnionlessly, we can say the following: Where the pipe dimensions are listed on the diagram, V is average flow velocity, H is viscosity, and p is density A) Assume you have a real life oil pipe with the following dimensions Do- 2m, D 0.2 m, L-10m with oil (H-0.1 Pa sp-1000 k/s) flowing through the pipe at a average velocity of 10 m/s. Devise a system that will create dynamically similar results using water (μ-0.001 Pa s p-1000 kgs) in a pipe that has D.-0.1 m. Assume gravity has a value of 10 m/s B) Assume you test your model and find that h- Im. What will h be for the real system? C) Assume you pttd vs. for a fixed geometry and found the graph to the right (cach point represents a single data point). What can you say about the relevance of various parameters? evo,

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