Sears–Haack body (cross sectional area)

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 cross sectional area of a Sears–Haack Body is related to the length and the volume of the body and the ratio of the distance from the nose to the whole body length (always between 0 and 1).

Related formulas

Variables

SxCross sectional area (m2)
VVolume of the body (m3)
LLength of the body (m)
πpi
xRatio of the distance from the nose to the whole body length (x between 0 and 1) (dimensionless)