In his next over, Nel claimed a sixth wicket for the first time in his career as Oliver Hannon-Dalby fell lbw but Ashraf gave valuable support to Patterson in a stand which earned Yorkshire an unexpected second batting bonus point.
Spinner James Tredwell was called upon for his first bowl of the innings and his third delivery had Ashraf nicking a catch to wicketkeeper Geraint Jones.
The pitch, less green than on the first day, had lost some of its pace and Sam Northeast and Joe Denly made a promising start to Kent's reply.
Yorkshire were in need of a breakthrough and it came from Hannon-Dalby, who had Denly taken at third slip by Adil Rashid.
In the following over, Ajmal Shahzad accounted for Northeast, superbly caught by Gerard Brophy diving low to his right in front of first slip.
Kent's innings was bolstered by some attractive batting by Van Jaarsveld in an 83 stand in 18 overs with Rob Key.
Rashid trapped Key lbw for 25 with a googly before Ashraf struck twice, trapping Stevens lbw before he had scored and bowling Jones with a perfect yorker.
Kent hit back with a sixth-wicket stand between Van Jaarsveld and Alex Blake, but Ashraf rejoined the attack to deny Van Jaarsveld his century.
This page is best viewed in an up-to-date web browser with style sheets (CSS) enabled. While you will be able to view the content of this page in your current browser, you will not be able to get the full visual experience. Please consider upgrading your browser software or enabling style sheets (CSS) if you are able to do so.