1 / 12

Juan M. Lopez, E.I.T. Research Consultant LeTourneau University Adjunct Lecturer

Fluid Mechanics and Energy Transport BIEN 301 Lecture 15 Compressible Flows Continued – Isentropic Flow. Juan M. Lopez, E.I.T. Research Consultant LeTourneau University Adjunct Lecturer Louisiana Tech University. Isentropic Flow. Area Changes (White 9.4)

tacita
Download Presentation

Juan M. Lopez, E.I.T. Research Consultant LeTourneau University Adjunct Lecturer

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. Fluid Mechanics and Energy TransportBIEN 301Lecture 15Compressible Flows Continued – Isentropic Flow Juan M. Lopez, E.I.T. Research Consultant LeTourneau University Adjunct Lecturer Louisiana Tech University

  2. Isentropic Flow • Area Changes (White 9.4) • Flow can be considered one-dimensional when: • There is a no slip condition at the wall • dh/dx << 1 and h(x) << R(x) • V = V(x), reacts to changes in area • The 1D approximation: • p(x)V(x)A(x) = dm/dt = constant BIEN 301 – Winter 2006-2007

  3. Isentropic Flow • Differential form of continuity for area-dependent 1D flow: • This simple relationship helps us predict the behavior of a compressible fluid in a 1D flow situation. BIEN 301 – Winter 2006-2007

  4. Isentropic Flow dV < 0 dp > 0 Subsonic Diffuser Ma < 1 Ma > 1 dV > 0 dp < 0 Supersonic Nozzle dA > 0 dV > 0 dp < 0 Subsonic Nozzle dV < 0 dp > 0 Supersonic Diffuser dA < 0 BIEN 301 – Winter 2006-2007

  5. Isentropic Flow • More relationships BIEN 301 – Winter 2006-2007

  6. Isentropic Flow • Ideal Gas Area Change • The previous equation helps us to identify a maximum mass flow (choking condition) for compressible, isentropic flows: BIEN 301 – Winter 2006-2007

  7. Isentropic Flow • Eq’s 9.48a-d • Provide good relationships for the mach number at different area relationships. • We will be skipping the sections on shock waves. • Read them for your own edification-the material is good, the pictures are quite interesting BIEN 301 – Winter 2006-2007

  8. Blood Flow • From these equations to blood flow is quite a ways. However, I wanted to be sure we had the foundations before we saw a true blood flow solution worked out. • Here is a full blood flow solution for pulsatile flow. Poiseuille flow is utilized. BIEN 301 – Winter 2006-2007

  9. Isentropic Flow • Converging and Diverging Nozzles • A few examples • Example 9.8 • Example 9.9 • P9.63 • P9.65 BIEN 301 – Winter 2006-2007

  10. Chapter 9 Homework • DUE 2/22/2007 P9.11P9.43P9.78P9.88EC: P9.114Due with the Ch. 7 and Ch. 8 HW. BIEN 301 – Winter 2006-2007

  11. Remember • Study Session tomorrow night • Project Questions – Office hours today, tomorrow, and during the study session • Report format is required on the final projects. • Projects due Thursday! BIEN 301 – Winter 2006-2007

  12. Questions? BIEN 301 – Winter 2006-2007

More Related