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Johanna Weber

Johanna Weber is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Johanna Weber rather than just read about it. In short: Johanna Weber (8 August 1910 – 24 October 2014) was a German-born British mathematician and aerodynamicist. She is best known for her contributions to the development of the Handley Page Victor bomber and the Concorde.

Johanna Weber — main illustration
Johanna Weber — illustration

Key takeaways

  • Johanna Weber belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Johanna Weber to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Johanna Weber from memory before moving on to harder problems.

Reference excerpt

Johanna Weber (8 August 1910 – 24 October 2014) was a German-born British mathematician and aerodynamicist. She is best known for her contributions to the development of the Handley Page Victor bomber and the Concorde.

Early life Johanna Weber was born in a family of Walloon origin in Düsseldorf, Germany, on August 8, 1910. Her father died in the First World War. As a 'war orphan', Weber was eligible for financial support, and she attended a convent school. In 1929, she began studies in chemistry and mathematics at the University of Cologne, but switched a year later to the University of Göttingen. She graduated with a first class honours degree in 1935, and then trained as a teacher for two years. As she did not join the Nazi Party, she was prohibited from taking a post as a teacher. Her remaining family, comprising her mother and sister, were in need of financial support, so she sought employment in the armaments industry.

Career Weber joined Krupp in Essen as a researcher in ballistics. Her work involved tedious mathematical computations using the Brunsviga mechanical calculators.

Aerodynamics Research Institute In 1939, Weber joined the Aerodynamics Research Institute (Aerodynamische Versuchsanstalt Göttingen) in Göttingen. She was part of a small theoretical team, and her initial training in aerodynamics consisted of wind tunnel corrections. Here she met and began her lifelong collaboration with Dietrich Küchemann. Scientists at Institute had by then worked out a consistent theory of flow around an aircraft. This was, however, an approximation, using singularities to represent the vortices that generated lift, and Weber was given the task of improving it. She realised that some of her work overlapped with Küchemann's research on jet engine intakes. They teamed up, with Weber doing the theoretical development and wind tunnel testing, and Küchemann setting the direction of their research based on his consultation with manufacturers. Over the period of the Second World War, they created a substantial body of work.

Royal Aircraft Establishment Following the capture of Göttingen by the US Army in 1945, the city fell into the British occupation zone. The British paid Weber and Küchemann to compile a monograph of their researches. These would form the basis of their text Aerodynamics of Propulsion. They also encouraged German scientists to take up six month contracts at various defence facilities in the UK as part of the combined US-UK plan (Operation Paperclip and Operation Surgeon) to acquire German services and technologies. In October 1946, Küchemann joined the Aerodynamics department at the Royal Aircraft Establishment in Farnbourough, and persuaded Weber to join him. Both of them continued to renew their six-month contracts, although both remained classed as enemy aliens, until 1953 when both were naturalised as British citizens. Weber, as the only woman among the German scientists, was accommodated at an RAE staff hostel. She joined the Low Speed Wind Tunnels division at the RAE, which was headed by Frances Bradfield. She began experimental work on air intakes under John Seddon. In 1946, the British Air Ministry specified a medium-range jet propelled bomber capable of carrying a nuclear weapon. The Handley Page Victor bomber was the most ambitious of the designs proposed in response. Küchemann had kept abreast of German work into swept-wing aircraft, in particular the crescent-shaped wing, and the aerodynamics of supersonic flight. The Victor would have three segmented wings of crescent shape, each with a different sweep angle. Weber assisted with the calculations, and incorporated further design improvements including the engine air inputs based on the work she had done with Küchemann during the war. Her linear and simple aerodynamic models were calculated by hand by a team of women 'computors'. In September 1945, she co-wrote with Küchemann a paper analysing the aerodynamics of the new wing and fuselage. Weber's subsequent work with Küchemann was in improving the theory of subsonic aerodynamics. Initial methods treated wing thickness and lift in isolation. In the 1950s, she developed a simultaneous treatment of all the features of a wing (thickness, twist, sweepback, camber) to predict the air pressure distribution over it. The Vickers aircraft team then solved the inverse problem - that of determining the wing shape that best suited a required pressure distribution. The resultant wing shape, the most advanced for a civilian craft, was used on the Vickers VC10 airliner.

Concorde Weber also began her research into supersonic transport. In 1955, she showed that a thin delta wing with a high angle of attack could generate sufficient lift to provide the take-off and landing capability, while simultaneously enabling efficient supersonic performance. Küchemann then advocated this wing configuration with the UK Government, resulting in the support for a Mach 2 airliner by the Supersonic Transport Advisory Committee (STAC) in 1956. In 1961, a prototype aircraft, the Handley Page HP.115, was built to test the low speed performance of the slender delta wing. Weber made two fundamental contributions to the supersonic effort: tools to predict the drag on a slender delta-winged aircraft during supersonic flight, and shaping the wing to allow the formation of vortices at its leading edge, rather than above or below it. Her work from 1959 onwards contributed to the design and the eventual construction of the Concorde.

Airbus Weber reverted to subsonic researches following the Concorde. In particular, she analysed the conditions under which methods addressing airflows slower than the speed of sound continued to be applicable at supercritical levels. Her refinement of existing theories, which were based on incompressible flows, helped automate the computations to render exact, rather than approximate, solutions. One of the chief sources of aerodynamic inefficiency was the junction of the wing and the fuselage, and she was able to model its entire three-dimensional profile. These methods, along with others evolving from the development of the VC10, were used in the design of the Airbus A300B aircraft, the first wide-body twinjet in the world.

… excerpt ends here. Continue reading the full article.

Illustrations

Johanna Weber: Johanna Weber in 1948, soon after her arrival in England.
Johanna Weber in 1948, soon after her arrival in England.

Worked examples

Example 1 — a first encounter with Johanna Weber

Start with the simplest possible case. Write down what Johanna Weber claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Johanna Weber before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Johanna Weber ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Johanna Weber

In research
Johanna Weber appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Johanna Weber in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Johanna Weber is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1910 births, 2014 deaths, 20th-century British mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Johanna Weber outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Johanna Weber in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Johanna Weber means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Johanna Weber out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Johanna Weber in simple terms?

Johanna Weber (8 August 1910 – 24 October 2014) was a German-born British mathematician and aerodynamicist. She is best known for her contributions to the development of the Handley Page Victor bomber and the Concorde.

Why does Johanna Weber matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Johanna Weber?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Johanna Weber.

Tags

  • 1910 births
  • 2014 deaths
  • 20th-century British mathematicians
  • 20th-century British women scientists
  • Aerodynamicists
  • British people of Walloon descent
  • British women centenarians
  • Concorde
  • German emigrants to the United Kingdom
  • German people of Walloon descent
  • German women centenarians
  • German women mathematicians

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