If there is a cold air return on the floor the warm air that would normally tend to collect near the ceiling will be sucked down into the furnace.
Cold air return basement ceiling.
To make this work the heat vents need to be on the opposite side of the room.
The basement one should be on the floor not the ceiling of the basement.
If they are near the cold air return that s all that will happen is you cycle warm air into the cold air return.
This tool promotes cool air circulation through duct work and other house passageways.
If the supply ducts are in the floor then the return air should be located up high.
In the basement to avoid chimney backdrafting the return air duct should be only half as large as the sum of the hot air ducts.
If the supply ducts are high or in the ceiling then the return air ducts or grills should be low on.
The air flows across the ceiling in the hallway towards a larger cold air return that does extend to the basement furnace.
Have a professional contractor install a cold air return gadget in your basement.
So turn the cold air return 90 degrees through the wall so that it actually draws the air from the room next to the furnace room or from the hallway of the basement.
By putting the cold air return on the floor it will vacuum up the cold air on the floor and draw down the warm air from the ceiling.
One other caution is to have the cold air.
You do this and i guarantee you that the second floor is going to be much more comfortable year round.