sol7 - Professor Philip S Marcus O2 Problem Set 7 Solutions...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Professor Philip S. Marcus O2 Problem Set 7 – Solutions a) Using Bernoulli, from the top surface of the water in the hot tub to the leak: P air ( z = H ) + 0 + gH = P air ( z = 0) + V 2 0 / 2. Or, V 0 = r 2 gH - (2 aH/ρ ). b) Continuing with Bernoulli and using the streamline from a point on the top surface of the water in the hot tub to an arbitrary point at location ( x, z ) in the jet: P air ( z = H ) + 0 + gH = P air ( z ) + [ V ( x, z )] 2 / 2 + gz . Or, V ( x, z ) = r 2 g ( H - z ) + 2[ P air ( z = H ) - P air ( z )] = r 2( H - z )( g - a/ρ ). Note the value of x does not directly enter. c) Use this control volume shown on the last page. Mass conservation tell us that what goes in at Point 1 goes out at Point 2 . Or, using the formal mass balance equation, where M is the mass in the control volume: ˙ M = 0 = ρA 1 ( V 1 · n 1 ) + ρA 2 ( V 2 · n 2 ). We have constructed the sides of the control volume so that
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 3

sol7 - Professor Philip S Marcus O2 Problem Set 7 Solutions...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online