Barrier needed between d/w and stove?

Not clear re: your question. Are you moving the d/w directly adjacent to the stove? It is basic good kitchen design that you physically separate the d/w from the stove. In fact the stove should be separated from any appliance. No matter what anyone says about the oven's "insulation", I will not buy an apartment where the oven is in contact with another appliance. In fact, I want all the appliances to be isolated. Buy several renovation magazines and/or look on the Internet for good kitchen designs. Here're several websites to get you started:

www.thisoldhouse.com/toh/kitchen-design
http://onlinedesigner.hgtv.com/visualizer/GettingStarted.do;jsessionid=3545C2B75D17561C5A2C0381D1B087C6
www.newyorkgeneralcontractor.com/kitchens.shtml

A lot of things can go wrong with kitchen renovations (but the results are so worth the trouble). When I renovated a kitchen the cabinetmaker made some of my cabinents the wrong height since he measured the floor-to-ceiling height based on the subfloor, and the dishwasher wouldn't work because a transport bolt had not been removed. In a new development I moved to, a kithchen designer did not include an open grate for ventilating the Sub-Zero refrigerators--so they kept overheating!

So heads up; hope your renovation goes smoothly.

thanks for your reply. In order to isolate the stove from the d/w, I'll have leave the d/w where it is when I remodel and get another drawer-style d/w (the current one is 40 years old and no longer works), which is the only kind that will fit in that tight little corner, and from what I'm reading not everyone is happy with the performance of these type dishwashers. That is why I was hoping to move the d/w to the other side of the sink, which would make it adjacent to the stove. As you've probably guessed, I've got a little NYC one wall galley kitchen, so not too many options. Am having my kitchen measurered this weekend, and I'll know more then how I want to design my new kitchen.

You do not glue countertops to dishwashers. A dishwasher is a stand-alone appliance that is manufactured with appropriate dimensions to be slid into an opening beneath a supported countertop. If the appliance needs repair or to be replaced, you don't want to tear the entire kitchen apart to achieve this. The dishwasher is not made to act as a support.