The Engineering and Physical Science Research Council provide funding directly to universities, to enable a specific student to follow an education, as well as for fees and stipend. The amount of these grants and accounts are case-specific.
In order to be eligible, a student must be settled in the UK. Also, the student must have been ordinarily resident in the UK for at least 3 years prior to application. If the student is not a EU or UK citizen, they must not have been resident in the UK primarily or solely for the purposes of education. The universities have the last say as to who is accepted and who isn't. Students must apply through a university.