There is no difference between industrial and commercial plumbing. They are interchangeable terms for the same process. Commercial and industrial plumbing refer to any plumbing done at commercial locations such as a large retail space, an office building, or something like an airport.
This type of plumbing work must be carried out by experienced plumbers, as any mistakes could compound dramatically. While residential plumbing should also be handled by a professional, the consequences of commercial plumbing demand an expert.