Oven appliance spill management system

An oven appliance, comprising:

• a cabinet defining a vertical direction, a lateral direction, and a transverse direction, the vertical, lateral, and transverse directions being mutually perpendicular, the cabinet comprising a front portion spaced apart from a back portion along the transverse direction and a left side spaced apart from a right side along the lateral direction;
• a cooktop defined on a top panel of the cabinet;
• a chamber defined within the cabinet for receipt of food items for cooking;
• a vent duct extending from an inlet in the chamber to a vent outlet;
• a cooling fan positioned within the cabinet outside of the chamber;
• a cooling duct extending from the cooling fan to a cooling outlet;
• an air grille extending across the cabinet adjacent to the cooktop, the vent outlet positioned upstream of the air grille and the cooling outlet positioned upstream of the air grille, whereby the vent outlet and the cooling outlet are both in fluid communication with the air grille;
• and
• a trough positioned below the air grille, whereby the trough permits fluid communication between the vent outlet and the air grille and between the cooling outlet and the air grille, and whereby the trough obstructs fluid communication between the air grille and an interior of the cabinet.