# Homework Help: Fluids, bernouli question

1. Jun 6, 2009

### kieranl

1. The problem statement, all variables and given/known data

A duct system that exhausts air of density 1.2kg/m3 from a building out into the atmosphere is shown in fig. A2 (attachment). The air flow is driven by a fan across which is a monometer that reads 2 cm of water. The cross sectional areas of the upstream and downstream ducts are 0.1m2 and 0.2m2 respectively and the flow speed in the upstream duct is 10ms^-1. Assume that air is incompressible and inviscid and that temperature changes in the air are negligible. Take acceleration due to gravity to be 10m/s2

2. Relevant equations

bernouli equation P + 0.5pV^2 + pgz = constant

3. The attempt at a solution

Im just confused with the third part of the question

c) Determine the gauge pressure just downstream of the fan

I would of thought that the pressure just downstream of the fan would be at atmospheric because the velocity is the same as when it exits the duct??? so that would mean gauge pressure = 0Pa.... but the answer is -15Pa

Im stuck???
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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2. Jun 6, 2009

### tiny-tim

Hi kieranl!

(have a rho: ρ and try using the X2 tag just above the Reply box )
Bernoulli's equation works along a streamline

so follow a streamline from the fan to the outside air … far enough away, the speed will be zero, so the pressure must be higher.

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