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The natural outcome of this requirement is a wing design that is thin and wide, which has a low thickness-to-chord ratio. At lower speeds, undesirable parasitic drag is largely a function of the total surface area , which suggests using a wing with minimum chord, leading to the high aspect ratios seen on light aircraft and regional airliners .
A sphere of radius r has surface area 4πr 2.. The surface area (symbol A) of a solid object is a measure of the total area that the surface of the object occupies. [1] The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra (i.e., objects with ...
In fluid dynamics, the lift coefficient (C L) is a dimensionless quantity that relates the lift generated by a lifting body to the fluid density around the body, the fluid velocity and an associated reference area. A lifting body is a foil or a complete foil-bearing body such as a fixed-wing aircraft.
Mean aerodynamic chord (MAC) is defined as: [6] = (), where y is the coordinate along the wing span and c is the chord at the coordinate y.Other terms are as for SMC. The MAC is a two-dimensional representation of the whole wing. The pressure distribution over the entire wing can be reduced to a single lift force
Marston Morse applied calculus of variations in what is now called Morse theory. [6] Lev Pontryagin, Ralph Rockafellar and F. H. Clarke developed new mathematical tools for the calculus of variations in optimal control theory. [6] The dynamic programming of Richard Bellman is an alternative to the calculus of variations. [7] [8] [9] [c]
An airfoil is said to have a positive camber if its upper surface (or in the case of a driving turbine or propeller blade its forward surface) is the more convex. Camber is a complex property that can be more fully characterized by an airfoil's camber line , the curve Z(x) that is halfway between the upper and lower surfaces, and thickness ...
In bird flight aerodynamics, the area of interest is the total wing area, that is, the area of both wings plus the area of the intervening portion of the body known as the "root box". [10] The root box is estimated from a measurement of the wing width at the base (the root chord ) and the difference between the wingspan and two times the extent ...
An ASH 31 glider with very high aspect ratio (AR=33.5) and lift-to-drag ratio (L/D=56). In aeronautics, the aspect ratio of a wing is the ratio of its span to its mean chord.It is equal to the square of the wingspan divided by the wing area.
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