Let’s check characteristics of the potential vortex Φ (r, θ)= Γ θ, or ψ = -Γ log (r). (1) Set a unit circle whose cente
Posted: Sun May 15, 2022 9:39 pm
Let’s check characteristics of the potential vortex Φ (r, θ)=
Γ θ, or ψ = -Γ log (r).
(1) Set a unit circle whose center locates on the origin, and
estimate circulation along this unit circle.
(2) Set a unit circle whose center locates at (x, y) = (1,1),
and estimate circulation along this unit circle.
(3) What can you conclude from the results of (a) and (b)?
Discuss why this flow is named potential vortex.
Γ θ, or ψ = -Γ log (r).
(1) Set a unit circle whose center locates on the origin, and
estimate circulation along this unit circle.
(2) Set a unit circle whose center locates at (x, y) = (1,1),
and estimate circulation along this unit circle.
(3) What can you conclude from the results of (a) and (b)?
Discuss why this flow is named potential vortex.