Cold roof systems are highly inadvisable as insulation from the inside will inevitably lead to the formation of condensation.
Insulating a flat roof without ventilation.
However in many situations the insulation may need to be primarily or entirely below the flat roof membrane and between the roof joists if so what are the best options.
Since you currently do not have ventilation and it sounds like you have access to the attic the most cost effective insulation technique you can use is to spray closed cell foam using spray foam kits around the perimeter of the roof between the roof surface and the ceiling to a nominal depth of at least 2 inches to prevent air infiltration.
Should i leave out the soffit vent.
Also there is a soffit vent but none at roof peak.
Ventilation is necessary to allow moisture accumulated inside to escape.
It also lets hot air escape in the summer.
Any type of roof from tpo to epdm can be either hot or cold.
There is a common misconception that flat roofs are difficult to insulate.
The old roof was tar and gravel so the switch to tpo should show significant change.
Like other roofs insulating a flat one requires ample ventilation a vapor barrier and sealed bypasses.
Depending on the weather and usage of the roof during its lifespan the insulation board may still be in a good enough condition to re use when the time arrives to replace the roof itself.
Is there any advantage to trying to get any insulation in between the 2 8 rafters.
Unvented flat roofs a technical discussion flat roofs have often been built with the insulation all on top of the vapor closed drainage plane as this avoids dew point condensation issues inboard of the roofing.
A cold roof or hot roof.
I have an insulation factor of about 8 10 plus the reflectivity of the white tpo.
This misconception is so strong that some people actually choose to not get flat roofs because they are worried about the roofs not being properly insulated.
Insulating a flat roof requires ventilation above the insulation.
Cold roof a very bad idea.
The answer depends on the type of roof you have.
When renovating an older home whose roof rafters are only 2x6 really 5 1 2 x 1 5 in dimension the available space for insulation and ventilation is limited therefore limiting the options for a combination of good under roof ventilation and high insulation r values in the cathedral ceiling.
It depends on where the insulation is installed.
Hot roofs have the roof deck then insulation then the roofing material.
This is then covered with a further weatherproofing layer.
The material that works best depends largely upon preference in a given situation.
Proper ventilation in flat roofs.