A dimensionerne kan bestemmes ved 2 3 2 mt k p l og 3

This preview shows page 1 out of 1 page.

a) Dimensionerne kan bestemmes ved [ ] 2 3 2 / MT k P L = og [ ] 3 1 2 3 / ML T k E L = = . SI- enheden for 2 k er kg s −3 og SI-enheden for 3 k er 1 2 kg m s . b) Dimensionsmatricen er 2 3 M 0 1 1 0 L 0 0 1 1 T 1 3 2 0 n k k L Enheder: 3 2 2 3 T M T M L T L 1 a b c d a b b c c c d n k k L        = =       . Vi skal løse 3 2 0, 0, 0 a b c b c c d = + = + . Sættes 1 a = finder vi 1, 1, 1 b c d = = = . Vi har altså én dimensionsløs parameter 3 1 2 nk L k π = . Relationen er 3 2 0 nk L f k = respirationsraten bliver 2 3 k n k k L = , hvor k er en dimensionsløs konstant. c) Det ses, at respirationsraten er omvendt proportional med den karakteristiske længdeskala for et dyr. Dette passer fint med, at små dyr har hurtig vejrtrækning og store dyr langsom vejrtrækning. d) En rotte trækker vejret omkring 100 gange i minuttet, hvorimod en hest trækker vejret ti gange i minuttet. Det passer godt med, at en hest er omkring 2 meter høj og at en rotte kan blive op til 25 cm lang. Forholdet mellem disse, der er tæt forbundet med den karakteristiske længde, er tæt på 10.
Image of page 1
  • Spring '19

{[ 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