1 / 12

Aula Teórica 6

Aula Teórica 6. Pressure distribution in “Rigid Body” type flows. What is a rigid body flow?. A flow is of the “Rigid body” if the adjacent elementary volumes maintain their relative position, i.e. if there is no shear. In this case forces are exclusively resulting from: Pressure or

todd-moon
Download Presentation

Aula Teórica 6

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. Aula Teórica 6 Pressure distribution in “Rigid Body” type flows.

  2. What is a rigid body flow? • A flow is of the “Rigid body” if the adjacent elementary volumes maintain their relative position, i.e. if there is no shear. • In this case forces are exclusively resulting from: • Pressure or • Gravity

  3. Force resultant

  4. Examples • Uniform linear acceleration: x3 x1

  5. If there is a free surface • The pressure is hydrostatic and consequently there is inclination…. • If acceleration is constant, the horizontal pressure gradient is constant and the free surface is a plane: x3 x1

  6. Rotating flow • Rotation implies acceleration.

  7. Cylindrical coordinates are the most adequate

  8. i.e. the parabola vertices is at z=0 and r=0.

  9. The line along which p=p1 is: • At free surface p=p0 and thus: • i.e. the free surface is a parabola.

  10. Free surface formation • The volume above the resting level is equal to the volume below that level. • The free surface can cut the bottom.

  11. Curvilinear stream lines • Can we have any curvature? • We are limited by the pressure gradient.

  12. Summary • If there is acceleration in a free surface flow, free surface inclination will appear. • If acceleration is linear and constant, the free surface is plan • If there is rotation at constant angular velocity, the free surface is a parabola.

More Related