Radius of a Sears–Haack Body

Description

The Sears–Haack body is the shape with the lowest theoretical wave drag in supersonic flow, for a given body length and given volume. The mathematical derivation assumes small-disturbance (linearized) supersonic flow, which is governed by the Prandtl-Glauert equation. The Sears–Haack body is pointed at each end and grows smoothly to a maximum and then decreases smoothly toward the second point.
A local radius is related to the maximum radius (at the center of the shape) and ratio of the distance from the nose to the whole body length (always between 0 and 1).

Related formulas

Variables

rxLocal radius (m)
RmaxMaximym radius (at the center of the shape) (m)
x ratio of the distance from the nose to the whole body length ( x between 0 and 1) (dimensionless)