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Lloyd M. Trefethen

Lloyd M. Trefethen is a astronomy 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 Lloyd M. Trefethen rather than just read about it. In short: Lloyd MacGregor Trefethen (March 5, 1919 – November 6, 2001) was an American fluid dynamicist. He served as a professor of mechanical engineering at Tufts University for more than 40 years.

Key takeaways

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

Reference excerpt

Lloyd MacGregor Trefethen (March 5, 1919 – November 6, 2001) was an American fluid dynamicist. He served as a professor of mechanical engineering at Tufts University for more than 40 years. His work included research on surface tension, independent invention of the heat pipe, and an experimental investigation of the Coriolis effect on draining vortices. He also co-authored a notable paper on card shuffling.

Early life and education Trefethen was born on March 5, 1919, in Waltham, Massachusetts. He graduated from the Webb Institute in 1940, and he received a master’s degree in naval engineering from the Massachusetts Institute of Technology in 1942. During World War II, Trefethen first enlisted in the United States Merchant Marine because he knew he could not pass the Navy eye exam. However, after memorizing the eye chart, he passed the exam and became a naval officer. There he met Florence Newman, a Navy codebreaker who later taught in Tufts University’s english department. They married in 1944. Their son, Lloyd N. Trefethen, later became a notable mathematician; they also had an older daughter, the quilter Gwyned Trefethen. In 1950, Trefethen completed a Ph.D. at the University of Cambridge. Although his initial research plan was to study the cooling of turbine blades, his eventual dissertation was Heat Transfer Properties of Liquid Metals. His work sparked an ongoing interest in magnetohydrodynamics at Cambridge.

Career and later life On returning to the US, Trefethen took a managerial position at the National Science Foundation before joining Harvard University as an assistant professor of engineering in 1954. He moved to Tufts University in 1958, where he became a full professor and chair of the mechanical engineering department. He retired in 1989. Trefethen died on November 6, 2001 in Cambridge, Massachusetts.

Contributions Trefethen was known for his research on surface tension in liquids, and he was one of the independent inventors of the heat pipe. In 1963, he made an award-winning educational film, Surface Tension in Fluid Mechanics, as part of a series produced by the National Committee on Fluid Mechanics Films. Trefethen's fluid mechanics research also included a widely reported investigation into whether the Coriolis force causes a draining vortex in the Southern Hemisphere to rotate opposite to the direction reported by Ascher Shapiro a few years earlier for the Northern Hemisphere.[A] Beyond fluid dynamics, Trefethen's publications include a paper with his son Lloyd N. Trefethen on the Gilbert–Shannon–Reeds model, a mathematical model of shuffling playing cards. In contrast to earlier research suggesting that seven riffles are needed to remove any patterns from an unshuffled deck of cards, Trefethen and Trefethen showed that, in their model of the problem, five riffles are enough.[B]

Recognition Trefethen was a Fellow of the ASME. In 1999, a special issue of the Journal of Fluids Engineering was dedicated to him in honor of his 80th birthday.

Selected publications

References

Worked examples

Example 1 — a first encounter with Lloyd M. Trefethen

Start with the simplest possible case. Write down what Lloyd M. Trefethen claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 Lloyd M. Trefethen 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 Lloyd M. Trefethen 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 Lloyd M. Trefethen

In research
Lloyd M. Trefethen appears in astronomy 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 Lloyd M. Trefethen 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
Lloyd M. Trefethen is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1919 births, 2001 deaths, Alumni of the University of Cambridge, so understanding it makes those chapters shorter.
In everyday life
Look for Lloyd M. Trefethen 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 Lloyd M. Trefethen in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Lloyd M. Trefethen 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 Lloyd M. Trefethen out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Lloyd M. Trefethen in simple terms?

Lloyd MacGregor Trefethen (March 5, 1919 – November 6, 2001) was an American fluid dynamicist. He served as a professor of mechanical engineering at Tufts University for more than 40 years.

Why does Lloyd M. Trefethen matter?

Because it connects several astronomy 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 Lloyd M. Trefethen?

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 Lloyd M. Trefethen.

Tags

  • 1919 births
  • 2001 deaths
  • Alumni of the University of Cambridge
  • American mechanical engineers
  • Fellows of the American Society of Mechanical Engineers
  • Harvard University faculty
  • MIT School of Engineering alumni
  • People from Waltham, Massachusetts
  • Sailors from Massachusetts
  • Trefethen family
  • Tufts University faculty
  • United States Navy personnel of World War II

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