Induced Drag Reduction Based on the Ellipticity Factor of the Local Chord Distribution of Compound Trapezoidal Wings

The majority of contemporary commercial aircraft operate at transonic speeds. The dynamics of these flight speeds are governed by the intricate interplay of total drag that significantly impacts aircraft performance. Total drag is comprised of multiple components. One such component is the induced drag. This drag coefficient has been observed to reach up to thirty percent of the total drag. Consequently, the objective of minimizing induced drag assumes paramount importance, as its successful implementation enables the enhancement of fuel efficiency for aircraft, in addition to all performance parameters that are contingent upon it, including the environmental impact. The solution to this task is achieved through the implementation of a model of interpolation of twisting of local chords in relation to the inboard cross-section, utilizing factors of geometric shapes of compound trapezoidal wings that have been previously developed. The estimation of the ellipticity factor of the shape of wings formed by several trapezoids in the top view is reduced to the minimization of the factor of the growth of the induced drag. This allows for the use of increased taper ratio, which contributes to the reduction of the wing mass.