Chela-Flores was educated in Caracas and London. In 1969, he obtained a PhD in physics at the University of London. He has been a Visiting Scientist at the Abdus Salam International Centre for Theoretical Physics (ICTP) in Trieste, Italy, since 2014, where he had previously covered other positions: Staff Associate (1996-2014), Scientific Consultant (1990–1996), Visiting Scientist (1982–1989) and Associate Member (1972–1976). He is Professor Titular ad honorem and a founding member of the Institute for Advanced Studies of Caracas, and was a Research Associate at the School of Theoretical Physics of the Dublin Institute for Advanced Studies (1994–2019). He was Associate Researcher at the Venezuelan Institute for Scientific Research (IVIC) (1971–1978), and, at the University Simon Bolivar of Caracas, he was both Dean for Research (1979–1985) and Professor (1978–1990). He was awarded the Order Andres Bello by the Venezuelan Government. He is a member of the Latin American Academy of Sciences; and a Foreign Corresponding Member of the Venezuelan Academia de Ciencias Fisicas, Matematicas y Naturales.