Methods and systems for a cooling arrangement

An engine cooling system, comprising:

• a coolant chamber arranged in a cylinder head adjacent to an exhaust passage, wherein a wall of the coolant chamber fluidly separates the coolant chamber from the exhaust passage;
• an engine oil passage dividing from a single passage outside of the coolant chamber to a plurality of passages within the coolant chamber;
• a plurality of intermediate elements physically coupled to the plurality of passages, the plurality of passages comprising outer passages and inner passages, wherein more of the plurality of intermediate elements are physically coupled to the inner passages than the outer passages;
• and a controller with computer-readable instructions stored on non-transitory memory thereof that when executed enable the controller to:
• stop coolant flow in the coolant chamber and oil flow in the plurality of passages in response to a cold-start occurring.

A system, comprising:

• a cylinder head coolant chamber separated from an exhaust passage via a cylinder head wall;
• a plurality of engine oil passages extending through the cylinder head coolant chamber, wherein mixing of an engine oil in the plurality of engine oil passages and a coolant in the cylinder head coolant chamber is blocked;
• a single oil passage is arranged outside of the cylinder head coolant chamber, and the single oil passage divides into the plurality of engine oil passages outside of an outer walls of the cylinder head coolant;
• a space between the plurality of passages where coolant flows through;
• and
• a plurality of intermediate elements is physically coupled to the plurality of passages and arranged in the space.