Necro-Thread alert! Thought of starting one like this, found it already existed. First one's not a book, but a series.
Destroyermen series, by Taylor Anderson. Historic fiction.
March, 1942. The USS Walker, an old WWI Wickes class destroyer, finds herself and her crew in the Second Battle of the Java Sea, with Capt. Mathew Reddy in command. As they leave the battle area, a strange squall overtakes the ship. Next thing they know, things are the same... yet different. They find themselves on another world, yet quite similar, in most respects, to earth. Geography is almost identical, and places are almost the same. Without support, they must befriend someone before supplies run out. As they wander around, a huge ship the size of an aircraft carrier, but with three huge masts, sails over the horizon. Crewed by odd lemur like furry beings, the lemur ship is then attacked by an East Indiaman, crewed by reptiles. The Walker comes to the Lemurian's aid, and the story progresses from there, as the crew finds that it left behind one war for another. Without any base, other than the crew's own knowledge and the machinery aboard the ship, they slowly build a military and industrial complex from scratch as the war slowly widens to engulf this world. Currently, it seems the series is incomplete, as the end of Iron Grey Sea leaves little doubt that another book is forthcoming.
Books in the series:
Into The Storm
Crusaide
Maelstrom
Distant Thunders
Rising Tides
Firestorm
Iron Grey Sea