# Sears–Haack body (volume)

## 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 volume of the body can be calculated by the radius at its maximum (occurs at center of the shape) and its length.

Related formulas## Variables

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

π | pi |

R_{max} | Radius at its maximum (at the center of the shape) (m) |

L | Length of the body (m) |