A screw sloop is a propeller-driven sloop-of-war. They were popularized in the mid-19th century, during the introduction of the steam engine and the transition of fleets to this new technology.
USS Alaska, a screw sloop
The Hydra-class sloop Hecla in 1854
Screw sloop Rattler vs paddle sloop Alecto in 1845
HMS Rattler was a 9-gun steam screw sloop of the Royal Navy, and one of the first British warships to be completed with screw propulsion. She was originally ordered as a paddle wheel 4-gun steam vessel from Sheerness Dockyard on 12 March 1841. She was reordered on 24 February 1842 as a propeller type 9-gun sloop from HM Royal Dockyard, Sheerness, as a new vessel. William Symonds had redesigned the ship as a screw propeller driven vessel.
Rattler (left) and Alecto (right) in their 1845 competition
Rattler at the storming of Rangoon, 14 April 1852