Sounds like your car has a blown head gasket or cracked engine/head. The engine does still heat up it's just that the coolant is not full enough to make contact with the sensors. Check your oil it also may look a cloudy/milky color, this would be water that has got into the oil. Your vehicle needs major repair and will stop running completely before long. The longer your drive a car with these problems the more damage it will cause.
The engine of your car will heat up.
Heat, lack of lubrication, or coolant in the cylinders or oil pan.
Low coolant level and possible coolant leak.
if you have antifreezecoolant in your oil you need to tow your car to get it fixed
you will lose coolant quickly and ur car will heat up sooner or later
Oil can't "back-up" into the coolant, they run in separate systems... you wasted money on the radiator, the thermostat is irrellivent, your engine block is probably cracked although it could be a gasket or loose bolts... you need a good mechanic and money
Check if it is consuming coolant or there is oil in the coolant. If either of these is true, you probably have a coolant leak or a bad head gasket, or a crack in your block or head. If not, you probably have a sticking thermostat.
thermostat sticking or low oil or low coolant
Have you checked the water level in the coolant expansion tank, if low this will not heat up the car. If level ok maybe thermostat is stuck Have you checked the water level in the coolant expansion tank, if low this will not heat up the car. If level ok maybe thermostat is stuck
oil does not heat up homes is use for a machine that uses the oil to work like gas from cars but the oil used for heating machines is not the ones car uses it made from it and that's how it works
If your car is using oil as in you have to keep topping it up it is probably oil getting past the rings after car heats and expands. If your car is using coolant, then you may have a small coolant leak at the head gasket, allowing coolant to enter the cylinder and be burned with the gas , resulting in what looks like smoke but does not smell like oil.
You don't HAVE to heat up the car before changing the oil. The only reason for doing this is that it "thins" out the oil and it will drain faster. If you aren't in a hurry, don't worry about it and just give it a little more time.