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Ludwig Prandtl

Ludwig Prandtl
Ludwig Prandtl
Born (1875-02-04)4 February 1875
Freising, Upper Bavaria, German Empire
Died 15 August 1953(1953-08-15) (aged 78)
Göttingen, West Germany
Residence Germany
Nationality German
Fields Aerodynamics
Institutions University of Göttingen
Technical School in Hannover
Alma mater Technical University of Munich
Doctoral advisor August Föppl
Doctoral students Ackeret, Blasius, Busemann, Munk, Nikuradse, Pohlhausen, Schlichting, Tietjens, Tollmien, von Kármán, and many others (85 in total).
Known for Boundary layer
Prandtl number
Notable awards Ackermann–Teubner Memorial Award (1918)
Daniel Guggenheim Medal (1930)
Wilhelm Exner Medal 1951

Ludwig Prandtl (4 February 1875 – 15 August 1953)[1] was a German engineer. He was a pioneer in the development of rigorous systematic mathematical analyses which he used for underlying the science of aerodynamics, which have come to form the basis of the applied science of aeronautical engineering. In the 1920s he developed the mathematical basis for the fundamental principles of subsonic aerodynamics in particular; and in general up to and including transonic velocities. His studies identified the boundary layer, thin-airfoils, and lifting-line theories. The Prandtl number was named after him.


  • Early years 1
  • Later years 2
  • Death and afterwards 3
  • Notable students 4
  • Books 5
  • See also 6
  • Notes 7
  • External links 8

Early years

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 Technische Hochschule Munich in 1894 and graduated with a Ph.D. under guidance of Professor August Foeppl in six years.[2] 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 one it replaced.

Later years

In 1901 Prandtl became a professor of fluid mechanics at the technical school in Hannover, now the Technical University 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 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. 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. These tools enabled aircraft designers to make meaningful theoretical studies of their aircraft before they were built.

Ludwig Prandtl 1904 with his fluid test channel

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 the work of Theodore von Kármán, 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).[3] and was its chairman from 1922 until 1933. Until 1945 he also worked closely with the RLM.

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.

Death and afterwards

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

The crater Prandtl on the far side of the Moon is named in his honour.

The Ludwig-Prandtl-Ring is awarded by Deutsche Gesellschaft für Luft- und Raumfahrt in his honour for outstanding contribution in the field of aerospace engineering.

NASA has named at least two research and exploration aircraft after Prandtl, the PRANDTL-D tailless aircraft, which was used to develop a model to prove Prandtl's conjecture that adverse yaw forces could be countered solely by wing tip aerodynamics;[4] and the PRANDTL-M Mars exploration craft, for which the backronym "Preliminary Research AerodyNamic Design To Land on Mars" was created.[5]

Notable students


  • Paul Peter Ewald, Theodor Pöschl, Ludwig Prandtl; authorized translation by J. Dougall and W.M. Deans The Physics of Solids and Fluids: With Recent Developments Blackie and Son (1930).
  • Prandtl, L., and O. G. Tietjens, Fundamentals of hydro and aerodynamics, Dover, New York 239 (1934): 243.
  • Ludwig Prandtl, Essentials of Fluid Dynamics, Hafner Publications, New York (1952).

See also


  1. ^ doi:10.1098/rsbm.1960.0015
  2. ^ Johanna Vogel-Prandtl. "Ludwig Prandtl" (PDF). David A. Tigwell (trans.). Universitätsverlag Göttingen, Germany, 2014. 
  3. ^ "GAMM Website". Retrieved 2007-02-11. 
  4. ^
  5. ^

External links

  • Ludwig Prandtl at the Mathematics Genealogy Project
  • Ludwig Prandtl's Biography in German, ISBN 3-938616-34-2, 258 pages
  • Ludwig Prandtl's Biography in English, ISBN 978-3-86395-160-3, 265 pages
  • Ludwig Prandtl's Boundary Layer
  • Video recording of the E. Bodenschatz's lecture on life and work of Ludwig Prandtl
Preceded by
Director of Aerodynamic Laboratory, University of Göttingen
Succeeded by
Albert Betz
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