Self-funded students living in the UK (EU citizens or not) can apply for the UK government's Doctoral Loan scheme:

https://www.gov.uk/doctoral-loan 

Do read the criteria for eligibility, terms and conditions, carefully before making any application.

Under this scheme you may be able to get a UK PhD loan of up to £27,265 (in total, covering all years of study) for a doctoral degree in any subject. This will cover your fees and offer some further support towards costs. The loan only needs to be repaid when you earn over £21,000 per annum.

A range of Charities offers small grants towards the cost of a PhD. Please research this subject at:

https://www.postgraduatestudentships.co.uk/funding-opportunities/charity-trust/ 

and check the Alternative Funding Guide at: https://www.postgraduate-funding.com/about-us/about-charities