W03 Design Theory Bernoulli_spr18.pptx - W03 Design Theory...

Info icon This preview shows pages 1–8. Sign up to view the full content.

View Full Document Right Arrow Icon
W03 Design Theory : The Basics As applied to fountains & moving water through a nozzle Bernoulli's Equation Pressure Height Velocity Continuity Equation Flow rate Major & Minor Losses
Image of page 1

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

View Full Document Right Arrow Icon
Fluid Flow and Continuity Continuity tells us that whatever the mass of fluid in a pipe passing a particular point per second, the same mass must pass every other point in a second. The fluid is not accumulating or vanishing along the way. This means that where the pipe is narrower, the fluid is flowing faster Volume per unit time
Image of page 2
Bernoulli’s Equation The general case, where both height and speed may change, is described by Bernoulli’s equation: This equation is essentially a statement of conservation of energy in a fluid.
Image of page 3

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

View Full Document Right Arrow Icon
Continuity and Compressibility Most gases are easily compressible; most liquids are not. Therefore, the density of a liquid may be treated as constant (not true for a gas). mass flow is conserved volume flow is conserved
Image of page 4
Bernoulli’s Equation When a fluid moves from a wider area of a pipe to a narrower one, its speed increases; therefore, work has been done on it. The kinetic energy of a fluid element is: Equating the work done to the increase in kinetic energy gives:
Image of page 5

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

View Full Document Right Arrow Icon
Bernoulli’s Equation Where fluid moves faster , pressure is lower
Image of page 6
The Continuity Equation Why does a hose with a nozzle shoot water further?
Image of page 7

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

View Full Document Right Arrow Icon
Image of page 8
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern