1 / 5

Governing Equations in Differential Form

Governing Equations in Differential Form. Take the limit such that the control volume approach to infinitesimal small: consequently, all fluid properties within the volume can be considered constant.

blaine-arnold
Télécharger la présentation

Governing Equations in Differential Form

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. Governing Equations in Differential Form • Take the limit such that the control volume approach to infinitesimal small: consequently, all fluid properties within the volume can be considered constant. • Use the divergence theorem to convert the surface integration term into a volume integration term:

  2. Continuity Equation

  3. Physical Interpretation v(y+Dy) u(x) u(x+Dx) v(y)

  4. Example (suction boundary layer control) A laminar boundary layer can be approximated as having a velocity profile u(x)=Uy/d, where d=cx1/2, c is a constant, U is the freestream velocity, and d is the boundary layer thickness. Determine the v(vertical component) of the velocity inside the boundary layer. d(x)=cx1/2

  5. Example (cont.)

More Related