Paixhans advocated using flat-trajectory shell guns against warships in 1822 in his Nouvelle force maritime et artillerie.

Paixhans developed a delaying mechanism that, for the first time, allowed shells to be fired safely in high-powered flat-trajectory guns.
The effect of explosive shells lodging into wooden hulls and then detonating was potentially devastating.
Henri-Joseph Paixhans first demonstrated this in trials against the two-decker Pacificateur in 1824, in which he successfully broke up the ship.
Two prototype Paixhans guns had been cast in 1823 and 1824 for this test.
Paixhans reported the results in Experiences faites sur une arme nouvelle.
The shells had a fuze that ignited automatically when the gun was fired; they lodged in the wooden hull of the target, and exploded a moment later:
The shells which produced those very extensive ravages upon the Pacificator hulk in the experiments made at Brest, in 1821 and 1824, upon the evidences of which the French naval shell system was founded, were loaded shells, having fuzes attached, which, ignited by the explosion of the discharge in the gun, continued to burn for a time somewhat greater than that of the estimated flight, and then exploded; thus producing the maximum effect which any shell is capable of producing on a ship.

— A treatise on naval gunnery by Sir Howard Douglas.

The first Paixhans guns for the French Navy were made in 1841.
The barrel of the guns weighed about 10,000 lbs. (
4.5 metric tons), and proved accurate to about two miles.
In the 1840s, France, England, Russia, and the United States adopted the new naval guns.

The effect of the guns in an operational context was first demonstrated during the actions at Veracruz in 1838, at Campeche in 1843, Eckernförde in 1849 during the Danish–Prussian War, and especially at the Battle of Sinop in 1853 during the Crimean War.
The Naval Battle of Campeche made history because it was the first time both sides used explosive shells and the only time sailing ships defeated steamers.

According to the Penny Cyclopaedia (1858):
General Paixhans made important improvements in the construction of heavy ordnance, and also in the projectiles, in the carriages, and in the mode of working the guns.
The Paixhans-guns are especially adapted for the projection of shells and hollow shot, and were first adopted in France about the year 1824.
Similar pieces of ordnance have since been introduced into the British service.
They are suitable either for ships of war, or for fortresses which defend coasts.
The original Paixhans-gun was 9 feet 4 inches long [2.84 m], and weighed nearly 74 cwts [3,800 kg].
The bore was 22 centimetres (8 inches nearly).
By judicious distribution of the metal it was so much strengthened about the chamber, or place of charge, that it could bear firing with solid shot weighing from 86 to 88 lbs [39–40 kg], or with hollow shot weighing about 60 lbs [27 kg].
The charge varied from 10 lbs.
12 oz to 18 lbs [4.9-8.2 kg] of powder.
General Paixhans was one of the first to recommend cylindro-conical projectiles, as having the advantage of encountering less resistance from the air than round balls, having a more direct flight, and striking the object aimed at with much greater force, when discharged from a piece of equal calibre, whether musket or great gun.
As large ships of war, particularly three-decked ships, offer a mark which can hardly be missed, even at considerable distances, and as their wooden walls are so thick and strong that a shell projected horizontally could not pass through them, an explosion taking place would produce the destructive effects of springing a mine, and far exceeding those of a shell projected vertically, and acting by concussion or percussion.

— Penny Cyclopedia
Paixhans advocated using flat-trajectory shell guns against warships in 1822 in his Nouvelle force maritime et artillerie.
Paixhans developed a delaying mechanism that, for the first time, allowed shells to be fired safely in high-powered flat-trajectory guns. The effect of explosive shells lodging into wooden hulls and then detonating was potentially devastating. Henri-Joseph Paixhans first demonstrated this in trials against the two-decker Pacificateur in 1824, in which he successfully broke up the ship. Two prototype Paixhans guns had been cast in 1823 and 1824 for this test. Paixhans reported the results in Experiences faites sur une arme nouvelle. The shells had a fuze that ignited automatically when the gun was fired; they lodged in the wooden hull of the target, and exploded a moment later:
The shells which produced those very extensive ravages upon the Pacificator hulk in the experiments made at Brest, in 1821 and 1824, upon the evidences of which the French naval shell system was founded, were loaded shells, having fuzes attached, which, ignited by the explosion of the discharge in the gun, continued to burn for a time somewhat greater than that of the estimated flight, and then exploded; thus producing the maximum effect which any shell is capable of producing on a ship.
— A treatise on naval gunnery by Sir Howard Douglas.
The first Paixhans guns for the French Navy were made in 1841. The barrel of the guns weighed about 10,000 lbs. (4.5 metric tons), and proved accurate to about two miles. In the 1840s, France, England, Russia, and the United States adopted the new naval guns.
The effect of the guns in an operational context was first demonstrated during the actions at Veracruz in 1838, at Campeche in 1843, Eckernförde in 1849 during the Danish–Prussian War, and especially at the Battle of Sinop in 1853 during the Crimean War. The Naval Battle of Campeche made history because it was the first time both sides used explosive shells and the only time sailing ships defeated steamers.
According to the Penny Cyclopaedia (1858):
General Paixhans made important improvements in the construction of heavy ordnance, and also in the projectiles, in the carriages, and in the mode of working the guns. The Paixhans-guns are especially adapted for the projection of shells and hollow shot, and were first adopted in France about the year 1824. Similar pieces of ordnance have since been introduced into the British service. They are suitable either for ships of war, or for fortresses which defend coasts. The original Paixhans-gun was 9 feet 4 inches long [2.84 m], and weighed nearly 74 cwts [3,800 kg]. The bore was 22 centimetres (8 inches nearly). By judicious distribution of the metal it was so much strengthened about the chamber, or place of charge, that it could bear firing with solid shot weighing from 86 to 88 lbs [39–40 kg], or with hollow shot weighing about 60 lbs [27 kg]. The charge varied from 10 lbs. 12 oz to 18 lbs [4.9-8.2 kg] of powder. General Paixhans was one of the first to recommend cylindro-conical projectiles, as having the advantage of encountering less resistance from the air than round balls, having a more direct flight, and striking the object aimed at with much greater force, when discharged from a piece of equal calibre, whether musket or great gun. As large ships of war, particularly three-decked ships, offer a mark which can hardly be missed, even at considerable distances, and as their wooden walls are so thick and strong that a shell projected horizontally could not pass through them, an explosion taking place would produce the destructive effects of springing a mine, and far exceeding those of a shell projected vertically, and acting by concussion or percussion.
— Penny Cyclopedia
Paixhans gun