Hello and welcome asfrye take a look at these mate I use them for cleaning Toshiba's and have done a few now including my own. Taking apart Toshiba laptops and notebooks. DIY guides. Disassembly instructions.
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as it is important when removing and especially replacing the ribbon cables - there are two small pull out lugs on either side that are hard to see sometimes and you will need to disconnect them as some of the cables go through the bottom panel openings.
Here you will find most of the models I say most because sometimes models that are close together use the same method but are not necessarily listed Disassemble, repair, take apart, upgrade, clean Toshiba laptop or notebook yourself.
If you have nay problems post back you can clean without disassembly but it is long and tedious and of course not so thorough. Don't forget the usual precautions of grounding yourself from time to time and make sure you do the thermal compounds while in there as it will be invariable dry (in my experience especially the CPU the graphics chip usually has a "jelly" like compound which I replace with the same compound as the CPU.
If you take my tip get the Arctic cleanup and prep kit and Arctic silver compound for both sites. See them here Arctic Silver Incorporated - ArctiClean
and the compound Arctic Silver Incorporated - Céramique 2
The "radiator" is best cleaned with one of those cheap hogs hair brushes dampened with alcohol after blowing the worst off and then gently rubbed through with some of those pipe cleaners Pipe cleaner - Wikipedia, the free encyclopedia
or they are sold as chenille kids play wires.
The fan can be cleaned with the hogs hair brush in much the same manner (the bearings are sealed so don't worry only don't drown it) and I always apply a little of that car vinyl stuff to the blades and polish them which makes the surfaces that much smother and also slightly anti static.
Now you don't have to but I have some sheer curtain material duct taped to the fan opening after I have finished to prevent crud from getting in.