Concept explainers
Consider Problem 6.16 with the diffuser directed upward. Assuming that the flow is uniform at each section, derive and plot the acceleration of a fluid particle for an inlet speed of Vi = 12 m/s. Plot the pressure gradient through the diffuser, and find its maximum value. If the pressure gradient must be no greater than 20 kPa/m, how long would the diffuser have to be?
6.16 A diffuser for an incompressible, inviscid fluid of density ρ = 1000 kg/m3 consists of a horizontal diverging section of pipe. At the inlet the diameter is Di = 0.25 m, and at the outlet the diameter is Do = 0.75 m. The diffuser length is L = 1 m, and the diameter increases linearly with distance x along the diffuser. Derive and plot the acceleration of a fluid particle, assuming uniform flow at each section, if the speed at the inlet is Vi = 5 m/s. Plot the pressure gradient through the diffuser, and find its maximum value. If the pressure gradient must be no greater than 25 kPa/m, how long would the diffuser have to be?
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