Wright Brothers 1901 Glider

The Wright brothers were off and running with their ideas for manned flight. The camber of their wing matched that of the wings used by Lilienthal. Unfortunately, Lilienthal’s figures were incorrect due to an error in the Smeaton coefficient. To get around this, the Wright’s came up with a way to modify the curvature of the wing.

The poor results from these tests led the brothers to undertake wind tunnel tests of their own.

Wright Brothers Wing Warping Test 1899

The Wright brothers were able to control the flight of their manned aircraft through the use of wing warping. Far more sophisticated than Lilienthal’s use of shifting body weight, wing warping allowed aerodynamic control of the wing.

The Wright brothers were meticulous in their research. This research, along with their can-do and innovative approach to flight, resulted in their first successful, controlled, heavier than air flight at Kitty Hawk.

Wright Brother Wind Tunnel Testing 1901

This video tells the story of the Wright Brother wind tunnel. As we’ll see later, this had to do with Lilienthal’s experiments and the Smeaton coefficient. For now, enjoy this video. The concepts will be important to us in a bit.

The development of their own wind tunnel and testing apparatus transformed the Wright brothers from tinkering innovators to the first aviation engineers!

Smeaton’s Coefficient

John Smeaton (1724-1792) had a long and illustrious career as a civil an mechanical engineer. One byproduct of his work is something known as “Smeaton’s Coefficient.” This coefficient was derived from his work – not calculated by Smeaton himself. Unfortunately, the coefficient became of vital importance to the Lillienfeld,  the Wright Brothers, and other pioneers of aviation around the globe.

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John Smeaton

SmeatonJohn Smeaton (1725-1792) is the British engineer who published the 1759 paper, “An Experimental Enquiry Concerning the Natural Powers of Water and Wind to Turn Mills and Other Machines Depending on Circular Motion.” The theories Smeaton postulated to explain the relationship between pressure and velocity for objects moving in the air, applied to windmills. Smeaton won the Copley Medal for his work in 1759. Continue reading

Euler’s Equations

Leonhard Euler (1707-1782) is known for his contributions to fluid dynamics. Specifically, his work discoveries in infinitesimal calculus, his derivation of Bernoulli’s equation, and his equation for inviscid fluid flows.

Euler’s equation for inviscid flows, those without friction, first appeared in 1757 in an article entitled, “Principes genereaux du mouvement des fluids.” This equation focuses on the fluid flow as a whole and analyzes the fluid velocity at a fixed point.

By using this equation, estimations on the effect of friction can be made when investigating aerodynamic problems. His equation is still in use today.

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Leonhard Euler

EulerLeonhard Euler (1707-1782) is widely considered the preeminent mathematician of the 18th Century. Euler worked closely with Bernoulli while they lived in St. Petersburg. He envisioned pressure as a point that could vary from point to point throughout a fluid. His differential equation for a fluid accelerated by gradients of pressure led him to create “Bernoulli’s Equation,” based upon Bernoulli’s work.

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