For everyone’s knowledge and enjoyment I went out this morning in under 50° weather and traced out all the hoses for the heater, engine oil heat exchanger, and the transmission heat exchanger.
Picture 1 is the splitter on the cold side of the radiator that the engine oil heat exchanger and the transmission heat exchanger return to.
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Picture 2 is the water pump and tstat housing. If you notice the tstat housing has a fitting on the side of it. That fitting is the hot side out to the transmission. Above the tstat housing are 2 more hoses. 1 is attached to a black tube that connects just before the tstat housing for hot out to the heater core. The other attaches to a fitting that is on the cold side of the water pump for the heater core return.
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The 3rd picture. Above the tstat housing in this picture is a small hose leaving the water pump housing and connects to that hard line heading down. That hard line then changes again to a rubber line and connects to the engine oil heat exchanger that is sandwiched between the oil filter and the engine block.
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So to note: the trans heat exchanger is fed from after the engine coolant thermostat, the engine oil heat exchanger is fed from before the engine coolant thermostat, the heater core is also fed from before the engine coolant thermostat.
What that means is the heater core and engine oil always have constant coolant flow to them but the trans does not get coolant flow until the thermostat opens.