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, D which is called head loss, h, and is measured in meters. Dimesnionlessly, we can say the following: ionlessly, we can say the following: L V2 Di Do Where the pipe dimensions are listed on the diagram, is average flow velocity, p is viscosity, and p is density. A) Assume you have a real life oil pipe with the following dimensions Do-2m, Di- 0.2 m, L-10m with oil (H-0.1 Pas p-1000 kg/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 Do-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 plotted h왠꼽 vs.emfor a fixed geometry and found the VD L va graph to the right (each point represents a single data pont), what can you say about the relevance of various parameters? , D.2g VD

Answer 1

寸iven hc head In Di D Naker lymomic Similur ms ool 어m n 니

aqv D o 2. r 3) In X-axin we getry Remdi na dtt Pip Re 21i

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