# 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

S_{x} | Cross sectional area (m^{2}) |

V | Volume of the body (m^{3}) |

L | Length of the body (m) |

π | pi |

x | Ratio of the distance from the nose to the whole body length (x between 0 and 1) (dimensionless) |