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With the new designs and new gasket material used coolant in the oil doesn't happen much any more when head gasket blows or head cracks
Just a quick what happens with bad cylinder seal(blown head gasket)
A cylinder has 150psi air pressure inside when cranking, i.e. compression test
900+psi when a cylinder fires, thats what pushes the piston down and adds power to the crank
The cylinders get very hot so they are surrounded with cooling passages, in the block and in the heads.
Head gaskets have a metal ring for each cylinder, when head is torqued down this metal ring is crushed and seals the head part of the cylinder to the block part.
A blown head gasket means that metal ring has failed, part of it has been eaten away, or if engine is EVER overheated, then head metal expands too much and crushes the metal ring making it fail.
After metal ring fails the gasket material can't hold the 900psi pressure back and it starts to eat it away
And it will usually eat it away until it comes to a cooling passage, sometimes an oil passage(which is where you get coolant in the oil).
Cooling system runs at 0 to 16psi pressure
So when 900psi shows up, lol, well "air" from inside the cylinder is pumped into cooling system, this displaces the coolant and causes a hot spot until the "air" is pushed out by water pump circulation
The "air" will make its way to a high spot, top of rad or heater hoses
Rad cap is rated at 14-16psi, as pressure in cooling system builds up cap will open and push coolant out first into overflow tank, cause it to be very full, overflowing sometimes.
When the "air" get there then air will be pushed out and bubble up in the overflow
But here's the thing, this will happen when engine is cold, just started, pressure build up is instant if there is a cylinder leak.
It causes overheating because it pushes out coolant from the system, and air doesn't cool as well as liquid.
Cold engine, remove rad cap, top up coolant, start engine
If coolant start to flow out of rad cap then yes, there is a blown head gasket, it is pushing coolant out
A little will come out by water pump displacement, you will know the difference, it isn't a little with bad head gasket
White smoke on start up is because some coolant will leak into that cylinder after engine cools down, some can also be sucked in on the intake stroke, making the spark plug in that cylinder look "steam cleaned", because it was
I don't think you have a blown head gasket
Bubbling overflow tank, with normal level, could be caused by a leak, loss of coolant replaced with air
Or a hot spot in the engine after shut down
When you shut off an engine you shut off the water pump so no circulation.
Engine gets hotter at that time, if you turn key back on you can often see that, temp gauge rising, totally normal, but......................
If there is a hot spot then coolant at that spot can turn to vapor, steam, this creates higher pressure and "air", which will bubble up in the overflow.