India

Hi, Indian Universities has the best education and students from foreign country prefer studying here. The list of universities are numerous I would share with you top 10 best universities according to recent surveys.
1) University of Delhi, New Delhi
2) Indian Institute of Technology Kanpur
3) Indian Institute of Technology Madras
4) Indian Institute of Technology Bombay
5) Lovely Professional University
6) Indian Institute of Technology Kharagpur
7) Savitribai Phule Pune University
8) Indian Institute of Technology Delhi
9) Anna University, Chennai
10) Indian Institute of Technology
And many more. You could visit various blogs on Google to find the best and right institution. Education in India is always at its best.

The following Universities can meet your requirements as listed under:-
1. VIT Chennai: You are eligible as external part time candidate. Eligibility: - Master's degree in Engineering / Technology / Business Administration with a first class or a minimum 60% marks (CGPA 6.5 on a 10 point scale) or equivalent like M.Sc. (Engineering) / M. S. by Research. Procedure:-
1. Applications will be invited by open advertisement in all leading newspapers / local announcement for all categories of candidates mentioned in section 2. Out of the applications received, the School / Centers will short-list the candidates to be called for written and test / interview to be conducted at the institute on a pre-announced date.
3. Selection will be based on the overall merit index of the candidate which will be arrived at by taking into account the candidates performance in the previous university examinations at Bachelors and Masters level and the performance in the written test and / the interview.
4. The weightage for arriving at the overall merit index will be as follows: Bachelor's degree 20 %, Master's degree 20 %, Written test and / Interview 60 % Candidates qualified in CSIR UGC NET for JRF may be exempted from the written test requirement. The following are the other universities offers part time Ph.D. in Mech. Engineering. As under for your consideration:-
1. SRM University, Chennai
2. Vels Institute of Science, Technology & Advanced Studies
3. Madras Institute of Technology- Anna University
Good Luck.