ME 330 PS4 Solutions Fall 2010

ME 330 PS4 Solutions Fall 2010 - Problem Set 4 Problem#1...

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Unformatted text preview: Problem Set 4, Problem #1 Given: A summertime children’s fountain at Zilker Park pumps water from Barton Creek through a long pipe of diameter D 1 and impressively sprays the water vertically upward through a nozzle of diameter D 2 . Find: If the total head loss is h L (units of length) and if the pump consumes energy at a rate P (units of power), derive an equation for the total flow rate, Q (units of volume per unit time), in terms of variables provided in the figure and properties of water. The exit of the nozzle is located h 1 above the level of the creek. How high can the fountain water reach once it leaves the nozzle? 2 1 Assumptions: Steady state, incompressible, neglect friction between water and air, all input power into pump is converted to mechanical energy Analysis: This is a mechanical energy balance problem ( ) ρ ρ ρ π ρ ρ ρ ρ h h gA Q P A Q h h gQ P A Q g gQ P h D A A Q V h h h V g gh gh gh V p p L L P L p L p 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 1 2 1 2 4 1...
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This note was uploaded on 09/05/2011 for the course ME 205 taught by Professor Koen during the Spring '07 term at University of Texas.

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ME 330 PS4 Solutions Fall 2010 - Problem Set 4 Problem#1...

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