Will an AC series motor work with DC supply?
The AC series motor you describe is a universal motor, and will work fine on DC. The speed characteristics will be a little different, since when running on AC there's a significant reactive drop in the field windings that reduces the available driving emf.

Difference between AC series and universal motor - 

With the field winding in series with the armature current the motor is insensitive to the direction of current, so once you have the necessary laminations to keep losses down when running on AC the motor becomes universal. Small DC series motors - though there aren't a lot of these, most have permanent magnet fields - are often made with laminated fields, since it's a cost-effective way of achieving the geometry. With bigger DC series motors, the field yoke and pole pieces are often solid steel pieces, forgings, extrusions or PM parts.