1 / 6

Numerical Analysis for Engineering MEAE-4960 April 10, 2001

Numerical Analysis for Engineering MEAE-4960 April 10, 2001. Problem was the determination of oil film thickness on plate. X. Third Order Differential Equation Was Analyzed. is treated as a constant. d f is not known, and needs to be solved for.

delano
Download Presentation

Numerical Analysis for Engineering MEAE-4960 April 10, 2001

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. Numerical Analysis for Engineering MEAE-4960 April 10, 2001

  2. Problem was the determination of oil film thickness on plate X 2

  3. Third Order Differential Equation Was Analyzed • is treated as a constant. • df is not known, and needs to be solved for. 3

  4. Runge-Kutta Method for Systems of Differential Equations Selected • Third Order DE transformed into 3 First Order Differential Equations. 4

  5. Initial Conditions Are Required For Analysis • Initial guess of df is required (iteration necessary). • Equations not valid at x=0, therefore approximation necessary. • (0.0001) is guessed for initial condition. • ’(0.0001) and ’’(0.0001) are determined numerically. 5

  6. Initial Conditions For (x)Became Roadblock For Accurate Results • Solution should have the following output •  = f • ’ = 0 • ’’ > 0 • Despite variation of initial conditions for (0.0001), no solution with all of above 3 conditions could be found. • Closest estimate with ’ = 0 produced over 2000% error. 6

More Related