1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Flow Mapping Theorem and Obstacles

  1. Sep 6, 2007 #1
    Hi All

    I have one final question thats related to flow problems with obstacles.

    Any help would be greatly appreciated as I am finding fluid flows extremely difficult.


    "Examinations are formidable even to the best prepared, for
    the greatest fool may ask more than the wisest man can answer".
    Charles Caleb Colton, 1825
  2. jcsd
  3. Sep 7, 2007 #2
    Hi All

    Think Ive cracked part (i) and (ii). However, I'm stuch on part (iii). I think I need to use the Inverse Function Rule somehow to get the function stated but when I do, it doesnt give the answer. Can someone please help? The inverse function rule states that f (z)'=1/1-1/(f(z))^2.

    Dont know if it will help but for part (ii) I got z+(4/z)-(16/z^3)....

    Please please help....
  4. Sep 7, 2007 #3


    User Avatar
    Science Advisor

    There is something missing! You say "let [itex]J_{2i} be the function with [itex]\alpha= 2i[/itex]". I presume that somewhere earlier they defined another function [itex]J_{\alpha}[/itex] but you don't include that information.
  5. Sep 7, 2007 #4
    The function you specift is given by the following formula:


    Hence j2i=3+4/3 and j2i = 3-4/3. Substituting this into the standard equation of an ellipse for a^2 and b^2 and rearranging gives the required formula. Does this help?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook