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How do we install glass block partiation wall 5 block high 8 block long?
make sure the opening is level and square then you use mortar that is rated for glass block. They even have spacers specifically for glass block to keep the grout lines straight and pretty. I saw an article in ATOH where Tom says it could be stacked with silicone too but I think there's an insert that goes in the groove before hand. The article was about hanging a towel warmer in a glass block wall.
or you could investigate a system like this. http://www.ibpglassblock.com/
Here's a couple of links to give you some idea.
Here's another http://www.lowes.com/lowes/lkn?action=howTo&p=Improve/GlassBlock.html