Elliptical Circulation Distribution Calculator

This circulation distribution is often encountered in aerodynamics and potential flow theory, particularly when analyzing airfoils or wings with a certain circulation distribution along their span. The expression indicates that the circulation is zero at the edges (when $y=\pm b/2$) and reaches its maximum value Γ0​ at the centerline (when $y=0$). The shape of the circulation distribution, described by the square root function, leads to a symmetric circulation pattern around the centerline of the airfoil or wing. This type of circulation distribution generates lift, and the lift coefficient is related to the maximum circulation (Γ0​). 

• $\Gamma (y)$ is the circulation at a specific location y,
• Γ0​ is the maximum circulation,
• y Distance alone the span
• $b$ is a constant that determines the width of the circulation distribution.