1 / 14

Elementary Mechanics of Fluids

Elementary Mechanics of Fluids. CE 319 F Daene McKinney. Control Volumes. Approaches to Solving Fluids Problems. Experimental Analysis Differential Analysis Control Volume Analysis Single most valuable tool available (White, Ch. 3). Systems. Laws of Mechanics Written for systems

melita
Download Presentation

Elementary Mechanics of Fluids

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Elementary Mechanics of Fluids CE 319 F Daene McKinney Control Volumes

  2. Approaches to Solving Fluids Problems • Experimental Analysis • Differential Analysis • Control Volume Analysis • Single most valuable tool available (White, Ch. 3)

  3. Systems • Laws of Mechanics • Written for systems • System = arbitrary quantity of mass of fixed identity • Fixed quantity of mass, m • Conservation of Mass • Mass is conserved and does not change • Momentum • If surroundings exert force on system, mass will accelerate • Energy • If heat is added to system or work is done by system, energy will change

  4. Control Volumes • Solid Mechanics • Follow the system, determine what happens to it • Fluid Mechanics • Consider the behavior in a specific region or Control Volume • Convert System approach to CV approach • Look at specific regions, rather than specific masses • Reynolds Transport Theorem • Relates time derivative of system properties to rate of change of property in CV

  5. CV Inflow & Outflow Area vector always points outward from CV

  6. CV Inflow & Outflow

  7. Reynolds Transport Theorem

  8. Steady vs. Unsteady CV

  9. Continuity Equation • Reynolds Transport Theorem Unsteady Case Steady Case

  10. Example (4.57) • Continuity equation

  11. CS VB VA=2VB Example (4.61) • Select a CV that moves up and down with the water surface • Continuity Equation h

  12. HW (4.80)

  13. HW (4.81)

  14. HW (4.82)

More Related