How Does Nozzle Elevation Affect Water Flow and Pressure in a Hose System?

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Homework Help Overview

The problem involves a hose system carrying water to an elevated nozzle, examining the effects of elevation on water flow speed and pressure. It includes parameters such as water density, hose diameter, and flow speed at the hose's entry point.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the implications of water's compressibility on flow rate and pressure, questioning how elevation affects velocity and pressure in the system. Some express confusion regarding the relationship between elevation and flow speed.

Discussion Status

The discussion is ongoing, with participants exploring the nature of water as incompressible for practical purposes and its implications for flow rate consistency in a constant diameter hose. There is a mix of understanding and uncertainty regarding the effects of elevation on water dynamics.

Contextual Notes

Participants are navigating assumptions about water compressibility and its effects on flow characteristics in the context of the problem's setup, including the elevation of the nozzle and the relationship between hose and nozzle diameters.

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Homework Statement



Frensley_Fluids_Bernoulli_001.gif


Consider a hose that carries water (density = 1000 kg/m3) leads to a nozzle that is elevated h = 1.3 meters above the ground. The nozzle has a diameter d, and the hose has a diameter D = 5d. Water flows through the hose with a speed vH = 0.6 m/s.

(a) What is the speed of the water as it leaves the nozzle?


(b) What is the gauge pressure of the water in the hose at ground level?

Homework Equations



P+pgh+(1/2)pV^2 = P+pgh+(1/2)pV^2
Area * V = Area * V

The Attempt at a Solution


I'm confused on the part where the hose is elevated upward, I know the velocity decreases, but I don't know by how much.
 
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Is water compressible or incompressible? What does that imply for the flow rate at any point along the (constant diameter) hose?
 
It is compressible, does that mean it stays the same throughout?
 
asheik234 said:
It is compressible, does that mean it stays the same throughout?

Are you guessing? If water is compressible, why can't we store a cubic meter of water in a one liter container? :smile:

For all practical purposes, water is NOT compressible. So for a filled, constant diameter pipe, the flow rate must be the same everywhere -- otherwise, wouldn't water "pile up" behind the slow regions and "thin out" in the speedy ones?
 

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