test 2 solutions - MMAE 350 D Rempfer Computational...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
MMAE 350 Computational Mechanics Page 1 of 2 D . Rempfer 2nd Mid - Term Exam - Solutions November 13th, 2006 N A M E O F S T U D E N T Please return this sheet together with your solution. If you have any loose sheets, don't forget to write your name on every sheet that you want considered as part of your solution! 1. (20 points) In an experiment involving the flow between two parallel plates which are a distance of Ay = H apart, one of which is at rest, while the other one is moving at some velocity, a student measures the velocity as a function of the normalized distance q = y / H from the lower plate. Here is what he finds: It is known that the velocity law for this kind of flow is of the form The matrix F of function values such t h a t fij = fj+1(xi), is given by and the corresponding coefficient matrix C = F~ . F is The right - hand side of the system, r = F~ q is After these preparations, the coefficients ui of our regression function follow from the solution of C . u = r, which becomes a. What is the best (in a least-squares sense) estimate for the velocity of the upper plate? Thus, the velocity of the upper plate can be estimated by
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern