hi,

I have mentioned some of the institute name which offers masters courses on design engineering,

SAVEETHA ENGINEERING COLLEGE

CHENNAI INSTITUTE OF TECHNOLOGY

CENTRAL INSTITUTE OF PLASTICS ENGINEERING AND TECHNOLOGY

S.A. ENGINEERING COLLEGE, CHENNAI

DHANALAKSHMI COLLEGE OF ENGINEERING

SENGUNTHAR COLLEGE OF ENGINEERING - [SCE], TIRUCHENGODU

hope it would help.