I have a frozen water bottle and a room temperature bottle wrapped with aluminum foil placed in a polyethylene bag placed in a styrofoam coolerHow would I calculate the temperature of the room temperature bottled water after 30 minutes if I knew the thermal cond, of all the materials, the temperature etcPLEASE HELP ME APPROACH THIS PROBLEM THANKS!
The real problem is deciding the quantities of heat transferred by conduction convection and radiationWhat shape are the bottles, circular cross section will have very small contact area for direct conductionSimilarly Al foil although a good conductor is transmitting heat along rather than across its thicknessConvection can be largely ignored as the wrappings tend to stop thatThis leaves radiation potentially as the main heat transfer.
