Conformal mapping Definition and 57 Threads

  1. G

    Solving electrostatic, rotationally symmetric 3D problem with conformal mapping?

    I heard that one can solve 2D problem with conformal mapping of complex numbers. Is it possible to use this method for 3D axial-rotationally symmetric problems (which are effectively 2D with a new term in the differential equation)?
  2. D

    Conformal Mapping Homework: f(z) = 1/(z-1), c=i

    Homework Statement "Study the infinitesimal behavior of f at the point c. (In other words, use the conformal mapping theorem to describe what is happening to the tangent vector of a smooth curve passing through c.)" f(z) = 1/(z-1), c=i Homework Equations |f'(c)| and arg f'(c)...
  3. J

    How can I create a conformal mapping between a square and triangle?

    When trying to solve one problem (my own, not an exercise), I encountered the need for a conformal mapping between a square [0,1]^2 and a triangle (0,0)-(1,1)-(2,0), so that the side (0,0)-(0,1) of the square gets mapped into a point (0,0), and the three other sides become the sides of the...
  4. PhysicsIsFun

    Conformal Mapping of Aerofoil at incidence

    Does anyone know what the conformal mapping of an aerofoil at incidence is? Does it use the Joukowski transformation? Or something else.. Thanks
  5. T

    Conformal mapping. From an ellipse to a rectangle

    Is it possible to transform an ellipse x^2/a^2 + y^2/b^2 = 1 ("a" minor or major semiaxis) Into a rectangle? If so, how can I do it? I am not very familiar so please explain all the details. I know the transformation from a circle to an airfoil, but not this one.
  6. C

    Solving Conformal Mapping Flow Problem

    Hi everyone, Let me set the scene. I'm writing a program to model the flow of an ideal fluid around various singularities using the complex potential and then using conformal transformations to map boundaries into new shapes. It's very nearly done but one of the transformations (what appears...
  7. R

    Conformal mapping in Complex Analysis

    I would appreciate if someone could explain Conformal Mapping using Complex Analysis using an example. I get the rough idea but have no clue how complex analysis comes into the picture. Thank You!
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