1
$\begingroup$

I have an annular region $v=\{(r,\theta): r_1<r<r_2, a<\theta<b\} $. How can I transform this region to a rectangular region $u=\{(x,y): -1<x<1, m<y<n\} $? Thanks..

$\endgroup$
2
  • $\begingroup$ what kind of transformation are you looking for? what is the context in which you encountered this question? $\endgroup$
    – gt6989b
    May 15 '18 at 16:27
  • $\begingroup$ i am working on fluid flow problem in the annular region. But i have some problems about fluid structures. So i want to compare rectangles with annular. Actually, may be i need a conformal mapping between these regions. $\endgroup$
    – halis
    May 17 '18 at 12:40
0
$\begingroup$

Call

$$ x = 2\frac{r - r_1}{r_2 - r_1} - 1 ~~~\mbox{and}~~~ y = \theta $$

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.