Characteristics of Thin Triangular Wings with Triangular-Tip Control Surfaces at Supersonic Speeds with Mach Lines behind the Leading Edge
Abstract
A theoretical analysis, based on the linearized equation for supersonic flow, was made of the characteristics of triangular-tip control surfaces on thin triangular wings. By restricting the analysis to the case for which the Mach lines from the wing apex lie behind the leading edge, a simplified treatment was made possible in that the results of previous work on the lift of triangular wings could be used to derive simple expressions for the lift effectiveness, pitching moment, rolling-moment effectiveness, and hinge moment due to control reflection. An expression was also obtained for the hinge moment due to angle of attack. Comparisons were made with the results for the two-dimensional case. The ratio of lift effectiveness to the hinge moment which resulted from control deflection was equal to the corresponding two-dimensional ratio for the same ratio of flap area to wing area. Again for equal ratios of flap area to wing area and for a flap chord one-half the wing chord, the rate of roll per hinge-moment coefficient due to control deflection was twice as large for the present configuration as for the two-dimensional case. This difference was directly a result of the difference in clamping coefficients between the two cases. The values of hinge-moment coefficient clue to angle of attack were found to be high when compared with either the hinge-moment coefficient clue to control deflection or with the two-dimensional hinge-moment coefficient clue to angle of attack. The appreciable balancing effect thus indicated would materially reduce the stick force in a steady roll and would also have to be taken into account in the determination of the stick-free longitudinal stability if the present arrangement were used as a horizontal tail.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1948
- Accession Number
- ADA380687
Entities
People
- Warren A. Tucker
Organizations
- National Aeronautics and Space Administration