ABSTRACT

A mapping of the area z on the area ω, as defined by the function ω = f(z), is called conformal if it preserves the stretches and rotation angles. This means that any infinitesimally small element in z varies the same number of times as it is mapped ω = f(z) and the linear expansion coefficient is |f′(z)|. The curve in the area z is rotated by the same angle α = arg f′(z) in the same direction when mapped ω = f(z). Conformal mapping method is used to calculate the potential flows of gas. A flow is called potential if there is a function φ that is called a potential, for which the following equality is true:

v = grad ,ϕ (1.1)

where v is the flow velocity.