Aircraft EnginesPrologue
Must readPrologue about 30 minutes

Fire and Wind

Two thousand years of turning heat and wind into motion — from a spinning ball in Alexandria to the windmills of Persia, the engineers of Baghdad, Mardin, Syria and Istanbul, and a race between two young men in the 1930s.

The figure beside this text is the machine Hero of Alexandria told his readers to build: a ball on a pivot, fed with steam, spun round by two bent pipes. Turn up the fire. Every jet engine in this course obeys the rule it shows.

A ball that spins

Alexandria, probably in the first century of our era. An engineer named Hero writes a book of machines worked by air, water and steam, and one entry, number fifty, begins with an instruction:

Place a cauldron over a fire: a ball shall revolve on a pivot.

— Hero of Alexandria, Pneumatica, No. 50, tr. Bennet Woodcroft (1851)

The steam rises from the cauldron into a hollow ball, and leaves through two bent pipes at opposite ends of a diameter, “bent in opposite directions”. As the cauldron heats, Hero writes, the steam “passes out through the bent tubes towards the lid, and causes the ball to revolve”.

The aeolipile — the “ball of Aeolus”, god of the winds — is considered the first recorded steam engine, or reaction steam turbine. It powered nothing. It was neither a practical source of power nor a direct ancestor of the steam engines of the Industrial Revolution (aeolipile). But it obeyed, perfectly, the rule that drives every engine in this course: throw something backwards, and you are pushed forwards.

It took nineteen centuries to turn that toy into an engine. This prologue follows the idea — of making moving air and hot gas do work — through the workshops of Persia, Baghdad, Mardin, Syria and Istanbul, to a an English patent of 1791, and to the first jet flights.

The atlas

Press play and watch the centuries run: the cities lit, in order, where the ideas of this prologue were written down or built, with the empires that paid for them on the timeline beneath. Drag the timeline to stop at any year.

Figure 2 · Where the ideas were made
Events are placed where the sources place them. Ḥasan al-Rammāḥ is marked in Syria rather than a city, because the sources do not say where he worked; Taqī al-Dīn’s steam spit is marked at Damascus, his birthplace, because they do not say where he wrote it.
Chapter I

Steam and wind: Alexandria

Ctesibius, Vitruvius, Hero

Alexandria under the Ptolemies was where Greek engineering met the wealth of Egypt. Its first great mechanic, Ctesibius (285–222 BCE), wrote the first known treatises on compressed air and its use in pumps; both Vitruvius and Hero drew on his work.

The Roman architect Vitruvius (c. 80 – c. 15 BCE) already knew the device by name, though not as a spinning machine — as a vessel that blows:

Aeolipilae are hollow brazen vessels, which have an opening or mouth of small size, by means of which they can be filled with water. Prior to the water being heated over the fire, but little wind is emitted. As soon, however, as the water begins to boil, a violent wind issues forth.

— Vitruvius, De architectura, Book I, ch. 6

Hero turned the vessel into a turbine by letting it spin. He also described a wheel turned by the wind to work an organ — called by some the earliest harnessing of wind on land, read by others as a toy or a design that may never have worked: the text is ambiguous, and historians disagree (windmill). Even Hero’s century is uncertain; most place him in the first century CE, some in the second.

Hero of Alexandria

fl. probably 1st century CE · Alexandria, Roman Egypt
Mathematician and engineer, “the greatest experimentalist of antiquity” by one modern judgement. His Pneumatica describes the aeolipile, automata, siphons and a coin-operated vending machine; his Metrica, a formula for the area of a triangle that still bears his name.
In this course: Lesson 1-1 · Thrust
Chapter II

Wind put to work: the mills of Persia

Sistan and Khorasan, by the ninth century

The first machines to do real work with the wind were built in Persia. The historical record does not support any windmill before the ninth century CE, and the earliest recorded working design, invented some time around 700–900, was Persian: the panemone, sails of reed matting or cloth on a vertical axle, inside a wall pierced with slits. It was first built to raise water and later adapted to grind grain (panemone windmill). The sources disagree on the number of sails — four to eight in one account, six to twelve in another.

By the ninth century such mills were turning in Khorasan, across eastern Iran and western Afghanistan; from there they spread across the Middle East and Central Asia, and later to Europe, China and India. A legend credits their invention to Abu Luʾluʾa Fīrūz, a Persian slave in the time of the caliph ʿUmar who was said to have built windmills — a story, not a record.

The country of the mills is the east of Iran, where a north wind blows almost all year: in Sistan they call it the wind of 120 days, and it can reach 100 km/h. Iran’s nomination of its windmills — asbād— to UNESCO’s tentative list says the first of them seem to have originated in Sistan; at Nashtifan, near Khaf, a row of them still stands (UNESCO tentative list, 2017).

Figure 3 · The Persian windmill, from above
A panemone works by drag: the wind pushes on the sails as it would on a door. The sails moving with the wind are pushed round; the ones coming back into it would be pushed just as hard the other way — so the wall shelters them. Take the wall away and the rotor stops. Modern wind turbines, and every compressor blade in this course, use lift instead: Lesson 6-1.
Chapter III

Machines that run themselves: Baghdad

The House of Wisdom, 850

In ninth-century Baghdad the caliph al-Maʾmūn gathered scholars and manuscripts at the House of Wisdom. Among them were three brothers, the Banū Mūsā — the sons of Mūsā ibn Shākir, an astronomer at the caliph’s court — raised and educated there by al-Maʾmūn’s order after their father’s death. They had Greek works acquired from Byzantium translated, measured the length of a degree of latitude to find the size of the Earth, and wrote some twenty books, of which three survive.

The most famous, the Book of Ingenious Devices of 850, describes about a hundred machines. Some were inspired by Hero and by Philo of Byzantium; many were their own. What sets them apart is a fascination with machines that control themselves — “self-operating valves, timing devices, delay systems” — which took them, in one historian’s words, “well beyond anything achieved by Hero or Philo” (Book of Ingenious Devices).

The Banū Mūsā

بنو موسى
Muḥammad (before 803 – 873), Aḥmad and al-Ḥasan (9th century) · Baghdad · the Abbasid caliphs
Three Persian brothers at the House of Wisdom: geometers, astronomers and engineers. Their machines watched themselves — a float that shuts a valve, a vessel that refills itself — the idea of feedback that today runs every engine through its digital control.
In this course: Lesson 8-3 · Engine control
Figure 4 · A self-operating valve
A float on a lever closes the inflow as the water rises. Open the tap and the level falls, the valve opens, and the level settles again — a little lower the more you draw, the mark of proportional control. Replace the float with sensors and a computer and you have the loop that sets an engine’s fuel flow (Lesson 8-3).
Chapter IV

Cams and pumps: al-Jazarī at Mardin

The Artuqid court, 1206

In 1206 an engineer of the Jazira, the land between the upper Tigris and Euphrates, finished a book for his patron at the Artuqid court in Mardin. Badīʿ al-Zamān al-Jazarī had served there as chief engineer, as his father had before him. The Book of Knowledge of Ingenious Mechanical Devices describes fifty machines, with instructions for building them: water clocks, among them the famous elephant clock, automata, fountains, and machines for raising water.

Among their parts is the camshaft, a shaft carrying cams, which al-Jazarī used in his automata, clocks and water-raising machines (al-Jazarī). Claims that he invented the crank do not survive scrutiny: the crank and connecting rod appear in a Roman sawmill at Hierapolis in the third century. What survives is the systematic way he put such parts together, and wrote down how.

al-Jazarī

الجزري
1136–1206 · Mardin, Upper Mesopotamia · the Artuqids
Chief engineer of the Artuklu palace at Mardin, as his father had been; his book was commissioned by the Artuqid ruler Nāṣir al-Dīn Maḥmūd and finished in April 1206. Very little else is known of his life: nearly all of it comes from his own book.
Figure 5 · A camshaft
Four cams a quarter-turn apart lift four rods in sequence: a steady rotation, from a water wheel, turned into timed pushes. Pumps, valves and the fuel controls of the first jet engines were built on the same idea.
Chapter V

An egg that moves itself: Mamluk Syria

Ḥasan al-Rammāḥ, died 1295

Under the Mamluk sultans a Syrian chemist and engineer, Ḥasan al-Rammāḥ, studied gunpowders and explosives. He devised several new types of gunpowder, a new fuse and two kinds of lighter, and he sketched weapons — among them one he called “an egg which moves itself and burns”: two sheet-metal pans fastened together and filled with naphtha, metal filings and saltpetre, pushed across the water by a large rocket and kept on course by a small rudder.

It is often called the first torpedo. Historians of technology classify it instead as a rocket-propelled surface weapon: it was meant to skim across the water, and there is no evidence it was ever used in battle (Ḥasan al-Rammāḥ). Its engine, though, is the one this course is about. A rocket carries everything it throws out; a jet engine breathes in the air it throws back. Both are pushed by the same reaction.

Figure 6 · “An egg which moves itself and burns”
A diagram, not a reconstruction. The rocket throws gas backwards and is pushed forwards with a thrust equal to the mass flow times the jet speed; water drag grows with speed until the two balance. Burn faster and the egg settles at a higher speed. The same balance sets a jet’s thrust in Lesson 1-1.
Chapter VI

A spit turned by steam: Taqī al-Dīn

Damascus, Cairo and Istanbul, 1551–1577

Taqī al-Dīn was born in Damascus in 1526, studied there and in Cairo, and served as a judge in Palestine, Damascus and Cairo before he moved to Istanbul in 1570 and became the Sultan’s chief astronomer the next year. In 1551, in a book whose title translates as The Sublime Methods of Spiritual Machines, he described a spit that turned itself: steam is directed onto the vanes of a wheel, and the wheel turns the axle with the meat on it (Taqī al-Dīn).

Where Hero’s ball was pushed by the steam it threw out, Taqī al-Dīn’s wheel was pushed by the steam that struck it: an impulse turbine. The same book describes four water-raising machines, the last a six-cylinder pump whose pistons are worked by cams and trip-hammers from a paddle wheel. Under Sultan Murad III he built the observatory of Istanbul, and from it observed the Great Comet of 1577.

Taqī al-Dīn

تقي الدين
1526–1585 · Damascus, Cairo, Istanbul · Murad III
Astronomer, clockmaker and engineer, author of more than ninety books — on astronomy, clocks, mechanics, optics and mathematics. His observatory was meant to correct the tables of Ulugh Beg’s Samarkand; his steam spit is a chapter in the history of the turbine.
In this course: Lesson 6-3 · Turbine stages
Figure 7 · Impulse and reaction
Impulse: a fixed nozzle blows steam onto the vanes, and the jet pushes what it strikes (Taqī al-Dīn, 1551; Giovanni Branca, 1629). Reaction: the nozzles ride on the wheel and are pushed back by the steam they throw out (Hero). Every turbine stage in Unit 6 shares its work between the two; the share is its degree of reaction (Lesson 6-3).
Chapter VII

From the chimney to the patent office

China, Italy, England, Norway, Germany: 1000–1904

Hot air had been turning wheels for centuries. Chinese lanterns spun by the rising air of their own flame were shown at lantern fairs as early as the Northern Song dynasty, and around 1500 Leonardo da Vinci drew a smoke jack: a little turbine in the chimney, turned by the hot air of the fire, driving the roasting spit through gears and a chain (gas-turbine engine).

In 1629 Giovanni Branca published in Rome Le machine, sixty-three engravings of machines, one of them a wheel turned by a jet of steam — like Taqī al-Dīn’s, an impulse turbine. The historian Alex Keller found that Branca’s machines looked like armchair inventions, seldom if ever built (Giovanni Branca).

Then, in 1791, an English coal viewer from the collieries around Nuneaton, John Barber, took out a patent that contained the whole idea of a gas turbine: a chain-driven compressor, a combustion chamber, and a turbine driven by the hot gas (John Barber). Nothing practical came of it. The reason is the subject of the figure below, and of Lesson 4-1: the turbine has to pay for its own compressor before it can give anything away. In Berlin in 1904 a gas turbine built by Franz Stolze, on a design he had first filed in 1873, ran too inefficiently even to keep itself turning. A year earlier, in Kristiania, the Norwegian Ægidius Elling had built the first gas turbine that produced more power than it consumed.

Figure 8 · The turbine must out-work its compressor
Barber’s three parts — compress, burn, expand — with real, imperfect components. Below about 70 % component efficiency the turbine cannot even drive its compressor at the temperatures early machines could survive. Raise the efficiency, or the turbine entry temperature, and the machine comes out ahead. Lesson 4-1 does this properly; Lesson 6-1 tells how blades shaped like wings finally cleared the bar.
Chapter VIII

Two young men, one decade

England and Germany, 1930–1941

Maxime Guillaume had patented a jet engine in 1921; it could not be built with the technology of the day. In January 1930 a young Royal Air Force officer trained at Cranwell, Frank Whittle, patented the turbojet. Five years later he could not afford the £5 renewal fee, and the patent lapsed. With his small company, Power Jets, and the turbine makers British Thomson-Houston, he built an experimental engine at Rugby; on 12 April 1937 the Whittle Unit ran for the first time (Frank Whittle).

In Germany a physics student at Göttingen, Hans von Ohain, had come to the same idea: “My interest in jet propulsion began in the fall of 1933,” he wrote, “when I was in my seventh semester at Göttingen University.” Working as assistant to the physicist Robert Pohl, he patented a jet engine of his own — in 1935 or 1936; the sources differ. In February 1936 Pohl wrote to the aircraft builder Ernst Heinkel, and on 27 August 1939 von Ohain’s engine flew in the Heinkel He 178 from the company’s airfield at Marienehe, near Rostock, for six minutes: the first flight of a jet aircraft (He 178). Whittle’s engine had run earlier; von Ohain’s flew first. Whittle’s own first flight came on 15 May 1941 — that day opens Lesson 3-1.

Figure 9 · Two inventors, one decade
Milestones from the sources below. Press play and the years run.

What they left in your course

None of these machines was a jet engine. Between them they held every idea one needs: a jet that pushes back on what throws it; wind turned into torque on a shaft; impulse and reaction blading; machines that regulate themselves; and the three parts — compress, burn, expand — that must be made good enough for the turbine to come out ahead.

Where these ideas return in the course
Throw gas back, be pushed forward (Hero, al-Rammāḥ)Lesson 1-1 · Thrust
Compress, burn, expand (Barber)Lesson 3-1 · The Brayton cycle
The turbine must pay for its compressor (Stolze, Elling)Lesson 4-1 · Component losses
Wind turned into torque: drag, then lift (Persian mills)Lesson 6-1 · Velocity triangles
Impulse and reaction (Taqī al-Dīn, Hero)Lesson 6-3 · Turbine stages
Fire held in a flowing stream (al-Rammāḥ’s gunpowders)Lesson 7-1 · Combustion
Machines that regulate themselves (the Banū Mūsā)Lesson 8-3 · Engine control
Cams, shafts and bearings (al-Jazarī)Lesson 9-1 · Rotor support

Turn the page

Hero’s ball and a GE9X obey the same law. Each throws gas backwards, and each is pushed forwards by exactly as much as it throws. On Hero’s ball the push was enough to turn a toy. On a GE9X it is about 470 kN — enough to hold up 48 tonnes — and all of it has to reach the wing through a handful of metal parts between the engine and its pylon.

In 2024, after a test flight from Kona, Hawaii, mechanics found one of those parts cracked. That is where Lesson 1-1 begins: with the force itself — where it comes from, how to calculate it, and where it goes.

End of the prologue
Lesson 1-1 · Thrust
Begin the course
Sources and further reading
  • Bennet Woodcroft (tr.), The Pneumatics of Hero of Alexandria, London, 1851 — No. 50, “The Steam-Engine”.
  • Vitruvius, De architectura, Book I, ch. 6, in the translation quoted by Wikipedia’s aeolipile article.
  • Donald R. Hill (tr.), The Book of Ingenious Devices (Kitāb al-ḥiyal) by the Banū (sons of) Mūsà bin Shākir, Reidel, 1979.
  • Donald R. Hill (tr.), The Book of Knowledge of Ingenious Mechanical Devices by Ibn al-Razzāz al-Jazarī, Reidel, 1974.
  • Ahmad Y. al-Hassan, Taqī al-Dīn and Arabic Mechanical Engineering, Institute for the History of Arabic Science, Aleppo, 1976.
  • Ahmad Y. al-Hassan and Donald R. Hill, Islamic Technology: An Illustrated History, Cambridge University Press and UNESCO, 1986.
  • Frank Whittle, Jet: The Story of a Pioneer, Frederick Muller, 1953; Margaret Conner, Hans von Ohain: Elegance in Flight, AIAA, 2001.
  • UNESCO World Heritage Centre, tentative list entry 6192, “Asbads (windmill) of Iran”, submitted by Iran in 2017.
  • Wikipedia articles checked for every date here: the aeolipile, Hero of Alexandria, the windmill, the panemone windmill, the Banū Mūsā, the Book of Ingenious Devices, al-Jazarī, Ḥasan al-Rammāḥ, Taqī al-Dīn, the gas-turbine engine, Giovanni Branca, John Barber, Ægidius Elling, Frank Whittle, Hans von Ohain, the Heinkel He 178 and the Gloster E.28/39.
  • Where sources disagree — Hero’s century, the number of sails on a Persian mill, what al-Rammāḥ’s “egg” was, the year of von Ohain’s patent — this page says so rather than choosing.