Waveriders on the plane shock waves with maximum lift-todrag ratio

Abstract

The problem of the waverider’s shape with maximum lift-to-drag ratio was formulated and solved. The waverider was constructed on a plane shock wave underplane symmetry and two isoperimetric conditions: the specific volume and the lift coefficient are given and fixed. The upper surface of the waverider is aligned with the oncoming stream and does not disturb it. The bottom surface consists of straight lines that make up the same angle with the undisturbed flow. The leading edge is a curve located in the plane of the shock wave and making an angle with the direction of the oncoming stream. If the leading edge does not come out to the base section, then its design provides lateral spacers of triangular shape with an angle between their edges. Besides the pressure, our model of interaction of the flow with the surfaces of the waverider accounts for the friction, which varies independently along each chord. In this problem we define the base section as two symmetrical flat surfaces. In such formulation, the optimization problem is considered for the first time. The distribution of the length of the chord of waverider in the plan is found by applying the numerical methods.