The university research guidelines will be a good place to start. This should provide details as to whether the university requires all professors and students to assign their IP to the university.
For the funding, probably look at the grant proposal. Some industry grants are free of obligations, some give certain rights to the industry partner. This is also true for most government type funding.
Best will be to ask the university tech transfer office or equivalent.
If I understand well, you would like to study a PhD. As results of that research you might obtain confidential/patentable results. If it is like that. I believe some Universities have an embargo policy. Then, your results will be keep secret till the patent is opened to the public (published). Some Universities also sign confidenciality rights with grant agencies or industry. Then, the results belong to a specific partner.
Thanks Gloria. I was really wondering about any future research work that could come from the PhD, particularly if you have used a unique trade name for a framework in the PhD with the view to developing a model of the same name post doc work with other components not developed in the PhD. So can one then use the same name for future linked research post doc and what rights would potential funders have to the name and work. IP is a complicated subject though with so many variables.