{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

macromo_lect_2 - Macroscopic Momentum Balances Momentum...

Info icon This preview shows pages 1–10. Sign up to view the full content.

View Full Document Right Arrow Icon
Macroscopic Momentum Balances
Image of page 1

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

View Full Document Right Arrow Icon
Momentum Which terms can be eliminated? But why? Accumulation = In – Out + {Generation – Consumption} None: Momentum is not necessarily conserved It (momentum) can be generated by forces acting on system It is a vector quantity. Exerted momentum is based on flow direction
Image of page 2
Momentum So how is momentum transferred to a system? Bulk Flow Forces on System Shear Stress on Walls Fluid flows easier in center of pipe Friction Gravity
Image of page 3

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

View Full Document Right Arrow Icon
Momentum Momentum is a vector quantity Must write balances in all three directions
Image of page 4
Momentum At Steady State Consumed Generated Output Input - + - = 0 cc c c c Flow Bulk o o o o o o o System on acting Forces
Image of page 5

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

View Full Document Right Arrow Icon
Momentum Input Output Forces - =
Image of page 6
Bulk Flow Momentum Momentum Flow Rate Balance mu M = ( 29 S u u uS 2 ρ ρ = = = u m M a a a b b b a b S u S u M M F 2 2 ρ ρ - = - =
Image of page 7

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

View Full Document Right Arrow Icon
Why M? Newton’s Law ma F = dt du m = ( 29 dt mu d = dt dM = M F
Image of page 8
Forces Acting on Systems Surface Forces Pressure Volume Forces Gravity Force pushing
Image of page 9

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

View Full Document Right Arrow Icon
Image of page 10
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