The Fairfax County Board of Supervisors will name Edward L. Long, a former deputy county executive and chief financial officer, to succeed County Executive Anthony H. Griffin at the board’s meeting this Tuesday, according to a document obtained Friday by The Washington Post.

Long, 59, who lives in Centreville, retired last May but returned to the county to oversee the installation of a new computer system.

Griffin, who turned 65 this month, announced last year that he intended to retire this month after more than a decade as the county’s top manager. Long is expected to assume his new duties after Griffin’s departure on April 24, which is the day that the Board will make its final markup on the fiscal 2013 budget.

The Board arrived at a consensus earlier this week that Long would be the next chief executive to manage the day-to-day affairs of Virginia’s most populous jurisdiction, according to a county official who spoke on condition of anonymity. The official said the board had interviewed about a dozen candidates, including two internal candidates and several others recruited through a nationwide search.