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Ludwig Prandtl

Ludwig Prandtl
Born	4 February 1875 Freising, Germany
Died	15 August 1953 Göttingen, Germany
Residence	GER
Nationality	Germany
Field	Aerodynamics
Institution	University of Göttingen Technical School in Hannover
Alma mater	University of Munich
Academic advisor	August Föppl
Notable students	Ackeret, Busemann, Theodore von Kármán, and many others
Known for	Boundary layer Prandtl number
Notable prizes	???

Ludwig Prandtl (4 February 1875 - 15 August 1953) was a German physicist. He was a pioneer of aerodynamics, and developed the mathematical basis for the fundamental principles of subsonic aerodynamics in the 1920s. His studies identified the boundary layer, thin-airfoils, and lifting-line theories. The Prandtl number was named after him.

Contents 1 Early years 2 Later years 3 Death and afterwards 4 See also 5 External links 6 References

Prandtl was born in Freising, near Munich, in 1875. His mother suffered from a lengthy illness and, as a result, Ludwig spent more time with his father, a professor of engineering. His father also encouraged him to observe nature and think about his observations.

He entered the University of Munich in 1894 and graduated with a Ph.D. in six years. His work at Munich had been in solid mechanics, and his first job was as an engineer designing factory equipment. There, he entered the field of fluid mechanics where he had to design a suction device. After carrying out some experiments, he came up with a new device that worked well and used less power than the device he replaced.

In 1901 Prandtl became a professor of mechanics at a technical school in Hannover. It was here that he developed many of his most important theories. In 1904 he delivered a groundbreaking paper, Fluid Flow in Very Little Friction, in which he described the boundary layer and its importance for drag and streamlining. The paper also described flow separation as a result of the boundary layer, clearly explaining the concept of stall for the first time. Several of his students made attempts at closed-form solutions, but failed, and in the end the approximation contained in his original paper remains in widespread use.

The effect of the paper was so great that Prandtl became director of the Institute for Technical Physics at the University of Göttingen later in the year. Over the next decades he developed it into a powerhouse of aerodynamics, leading the world until the end of World War II. In 1925 the university spun off his research arm to create the Kaiser Wilhelm Institute for Flow Research (now the Max Planck Institute for Dynamics and Self-Organization).

Following earlier leads by Frederick Lanchester from 1902-1907, Prandtl worked with Albert Betz and Max Munk on the problem of a useful mathematical tool for examining lift from "real world" wings. The results were published in 1918-1919, known as the Lanchester-Prandtl wing theory or lifting-line theory. He also made specific additions to study cambered airfoils, like those on World War I aircraft, and published a simplified thin-airfoil theory for these designs. This work led to the realization that on any wing of finite length, wing-tip effects became very important to the overall performance and characterization of the wing. Considerable work was included on the nature of induced drag and wingtip vortices, which had previously been ignored. With these tools, early aircraft designers were first able to make real theoretical studies of their aircraft even before they were built.

Prandtl and his student Theodor Meyer developed the first theories of supersonic shock waves and flow in 1908. The Prandtl-Meyer expansion fans allowed for the construction of supersonic wind tunnels. He had little time to work on the problem further until the 1920s, when he worked with Adolf Busemann and created a method for designing a supersonic nozzle in 1929. Today, all supersonic wind tunnels and rocket nozzles are designed using the same method. A full development of supersonics would have to wait for Theodore von Kármán's work, a student of Prandtl at Göttingen.

In 1922 Prandtl together with Richard Von Mises, founded the GAMM (the International Association of Applied Mathematics and Mechanics).^[1] and was its chairman from 1922 till 1933.

Other work examined the problem of compressibility at high subsonic speeds, known as the Prandtl-Glauert correction. This became very useful during World War II as aircraft began approaching supersonic speeds for the first time. He also worked on meteorology, plasticity and structural mechanics.

Prandtl's life was marked by overtones of naïveté. At the age of thirty-four, he decided it was time to marry, so he went to his old professor, August Föppl, to ask his daughter's hand in marriage. But Prandtl didn't say which daughter. The professor and his wife had a hurried discussion and wisely decided it should be the older one. That was fine. The marriage was a long and happy one.^[2]

Prandtl worked at Göttingen until he died on August 15, 1953. His work in fluid dynamics is still used today in many areas of aerodynamics. He is often referred to as the father of modern aerodynamics.

The Prandtl crater on the far side of the Moon has been named in his honor.

• Prandtl number
• Tesla turbine
• Prandtl-Glauert singularity
• Prandtl-Glauert method
• Prandtl-Meyer function

• Ludwig Prandtl's Biography in German, ISBN 3-938616-34-2, 256 pages
• Ludwig Prandtl's Boundary Layer

1. ^ GAMM Website. Retrieved on February 11, 2007.
2. ^ University of Houston website. Retrieved on February 11, 2007.

Preceded by Otto Lilienthal

Director of Aerodynamic Laboratory, University of Göttingen 1904—1936

Succeeded by Albert Betz