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Why do wings help birds fly?
Short answer
A bird's wing performs two jobs at once: its curved profile generates lift as it moves through the air, and its flapping also produces the thrust that drives it forward. In an airplane those tasks are split between the wing and the engines; in a bird, the same jointed surface does both.

An aerodynamic profile made of feathers
In cross-section, a bird's wing has the same shape as an airfoil: a rounded leading edge, a convex upper surface and a sharp trailing edge. As it moves through the air it deflects the flow downward and a low-pressure zone forms on the upper surface; the sum of those pressures is lift, exactly as in an airplane. The flight feathers—the primary and secondary remiges—overlap to form an almost continuous, very light surface, supported by a skeleton with pneumatized bones that reduces mass without losing rigidity.
The difference is that a bird's wing is not rigid. It can change its curvature, span and surface area at every instant, and individual feathers can rotate on their axis to let air pass in one direction and block it in the other. No metal wing reproduces that constant ability to reconfigure.
Flapping: lift and thrust in a single motion
In an airplane the engine produces thrust and the wing produces lift. A bird has to generate both with the same structure, and it does so through the geometry of the flap. During the downstroke the wing stays extended with the feathers closed, and the resulting aerodynamic force tilts forward: one component supports the weight and the other drives the bird forward. During the upstroke, the bird partially folds the wing, reduces its surface area and separates the primaries so air passes between them, minimizing the opposing force. The musculature reflects that split: the pectoralis major powers the downstroke, and the supracoracoideus, via a tendon that passes through a hole in the shoulder and acts as a pulley, raises the wing.
The energy cost is high, which is why birds that fly a great deal have developed strategies to flap as little as possible. The wandering albatross, with a wingspan of over three meters and extremely high-aspect-ratio wings, practices dynamic soaring by exploiting the wind gradient above the waves and can cover hundreds of kilometers with almost no flapping. Vultures and storks seek out thermals, columns of rising warm air, and gain altitude spiraling before gliding on to the next one.
Different shapes for different missions
Wing shape reveals a bird's way of life. Long, narrow wings, like the albatross's, minimize induced drag and are built for gliding over the ocean. Broad wings with finger-like separated primaries, like those of forest raptors, give high lift at low speed and maneuverability among trees. Short, pointed wings, like the peregrine falcon's, trade gliding efficiency for speed: in a dive that bird exceeds 300 km/h. And the hummingbird, an extreme case, flaps 50 to 80 times per second tracing a figure eight that generates lift on both halves of the stroke, letting it hover in place like a helicopter.
This diversity directly influenced the history of aviation. Otto Lilienthal studied the flight of storks before building his gliders, and the Wright brothers observed how birds tilted their wingtips to turn: that is where wing warping was born, the direct ancestor of ailerons.
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