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A crossflow cylinder head is a cylinder head that features the intake and exhaust ports on opposite sides. The gases can be thought to flow across the head. This is in contrast to reverse-flow cylinder head designs that have the ports on the same side.
Crossflow heads use overhead valves, but these can be actuated by camshafts that are either in the cylinder block, with actuation by push rods and rockers, or by one or more overhead camshafts.
A crossflow head gives better performance than a Reverse-flow cylinder head (though not as good as a uniflow), but the popular explanation put forward for this -- that the gases don't have to change direction and hence are moved into and out of the cylinder more efficiently -- is a simplification since there is no continuous flow because of valve opening and closing. But since there is overlap between the intake and exhaust profiles there is a point in which both valves are open. At that point the inertia of the exhaust gases leaving the cylinder helps to aspirate the intake gases into the cylinder. The other main reason for a crossflow's performance is that the ports and valves can be larger and its physical separation of the hot exhaust manifold keeps the air in the intake manifold cooler. Most modern engines are of a crossflow design. The engineering terminology for these benefits is greater volumetric efficiency.
In the UK, "Crossflow" is also used to refer specifically to Ford Motor Company's Kent Crossflow 4-cylinder OHV engine, and its short-block "Valencia" derivative which has been used in cars from the 1960s up to the present day, albeit with the addition of fuel injection and a modern engine management system. The term was also briefly used in the early 1980s in Australia for the revised 4.1 litre inline six-cylinder engine in Ford's Australian large family car, the Falcon. This was in response to the post-1979 fuel crisis where the Falcon was a comparatively fuel-inefficient car compared to its contemporary rivals.
This term is used for engines which have two intake and two exhaust valves per cylinder; four (or five) valves per cylinder result in engines having superior high RPM performance sourced from total port circumference, rather than the relative location of the ports.