Supersonic biplane—A review

Abstract One of the fundamental problems preventing commercial transport aircraft from supersonic flight is the generation of strong sonic booms. Sonic booms are the ground-level manifestation of shock waves created by airplanes flying at supersonic speeds. The strength of the shock waves generated by an aircraft flying at supersonic speed is a direct function of both the aircraft’s weight and its occupying volume; it has been very difficult to sufficiently reduce the shock waves generated by the heavier and larger conventional supersonic transport (SST) configuration to meet acceptable at-ground sonic-boom levels. It is our dream to develop a quiet SST aircraft that can carry more than 100 passengers while meeting acceptable at-ground sonic-boom levels. We have started a supersonic-biplane project at Tohoku University since 2004. We meet the challenge of quiet SST flight by extending the classic two-dimensional (2-D) Busemann biplane concept to a 3-D supersonic-biplane wing that effectively reduces the shock waves generated by the aircraft. A lifted airfoil at supersonic speeds, in general, generates shock waves (therefore, wave drag) through two fundamentally different mechanisms. One is due to the airfoil’s lift, and the other is due to its thickness. Multi-airfoil configurations can reduce wave drag by redistributing the system’s total lift among the individual airfoil elements, knowing that wave drag of an airfoil element is proportional to the square of its lift. Likewise, the wave drag due to airfoil thickness can also be nearly eliminated using the Busemann biplane concept, which promotes favorable wave interactions between two neighboring airfoil elements. One of the main objectives of our supersonic-biplane study is, with the help of modern computational fluid dynamics (CFD) tools, to find biplane configurations that simultaneously exhibit both traits. We first re-analyzed using CFD tools, the classic Busemann biplane configurations to understand its basic wave-cancellation concept. We then designed a 2-D supersonic biplane that exhibits both wave-reduction and cancellation effects simultaneously, utilizing an inverse-design method. The designed supersonic biplane not only showed the desired aerodynamic characteristics at its design condition but also outperformed a zero-thickness flat-plate airfoil. (Zero-thickness flat-plate airfoils are known as the most efficient monoplane airfoil at supersonic speeds.) Also discussed in this paper is how to design 2-D biplanes, not only at their design Mach numbers but also at off-design conditions. Supersonic biplanes have unacceptable characteristics at their off-design conditions such as flow choking and its related hysteresis problems. Flow choking causes rapid increase of wave drag and it continues to be kept up to the Mach numbers greater the cruise (design) Mach numbers due to its hysteresis. Some wing devices such as slats and flaps, which could be used at take-off and landing conditions as high-lift devices, were utilized to overcome these off-design problems. Then supersonic-biplane airfoils were extended to 3-D wings. Because that rectangular-shaped 3-D biplane wings showed undesirable aerodynamic characteristics at their wingtips, a tapered-wing planform was chosen for the study. A 3-D biplane wing having a taper ratio and aspect ratio of 0.25 and 5.12, respectively, was designed utilizing the inverse-design method. Aerodynamic characteristics of the designed biplane wing were further improved by using winglets at its wingtips. Flow choking and its hysteresis problems, however, occurred at their off-design conditions. It was shown that these off-design problems could also be resolved by utilizing slats and flaps. Finally, a study on the aerodynamic characteristics of wing–body configurations was conducted using the tapered biplane wing. In this study a body was chosen in order to generate strong shock waves at its nose region. Preliminary parametric studies on the interference effects between the body and the tapered biplane wing were performed by choosing several different wing locations on the body. From this study, it can be concluded that the aerodynamic characteristics of the tapered biplane wing are minimally affected by the disturbances generated from the body, and that the biplane wing shows promise for quiet commercial supersonic transport.