Whichelow, who began his career in the Sky Bet Championship with Watford, has teamed up with Mark Hawkes's City side on a three-month loan.
The 24-year-old has previous loan experience having been shipped out to Exeter City, Wycombe Wanderers and Accrington Stanley during his time with the Hornets.
He joined Boreham Wood - who were promoted from the Vanarama National League South via the play-offs last season and have recently lost Manager Ian Allinson following his resignation - in 2013.
The Club would like to extend a warm welcome to Matthew, wishing him an enjoyable stay at the Melbourne Stadium.
Laurence Vaughan, meanwhile, has left the Clarets.
Photo source: Boreham Wood FC's Official Website.
Updated 10:51 - 16 Oct 2015 by Adam May