Can I mention brand names and their products in my research/technical paper? I want to write a paper on Mobile Screens in HCI, as phones are getting uncomfortably big for users, I want to provide some solution to the big screen phones or how logically state that how small screen phones are suitable for the user.

Coming back to question, for the above-mentioned reason, I was going to make a survey of big phone screen users, and I was going to mention it in my paper, is it okay to mention brand names of phones and their specific products with images?
I don't know about hardware, but in case you feel like mentioning some software (and hardware often comes with software...), beware that the EULA can prohibit researchers and scientists from explicitly using the names of their systems in academic papers. 

Oracle is notorious for that, they sued David DeWitt following some benchmarks he had published that mentioned Oracle, see the DeWitt Clause. Luckily the University of Wisconsin supported him, but Oracle banned all Wisconsin alumni for a while.