Davidson's works made an important contribution to the development of the hydrodynamics of a circulating fluidised bed and the heat transfer in a fluidised bed and also to the creation and implementation of methods for lignite combustion in a fluidised bed. Davidson received the degree of PhD in 1953 and the degree of Doctor of Science in 1968 at the University of Cambridge. In 1974, for works on two-phase flows and, first of all, for achievements in fluidisation, he was elected a
Fellow of the Royal Society in chemical engineering (He was elected as a vice-president, Royal Society of London, 1989). In 1974–1975, he was a member of the Court of Enquiry for the
Flixborough disaster. Davidson's research work was always closely related to his pedagogical activities. He started as a university demonstrator in chemical engineering (1950) and then was a university lecturer (1954), a reader in chemical engineering (1964), and a professor (1975). In 1975–1993, Davidson headed the Department of Chemical Engineering of the University of Cambridge and did much for the development of the department, updating of the curriculum, and strengthening of relations with industry. In 1978–1993, he bore the title of Shell Professor of Chemical Engineering since Shell was an important sponsor of the foundation of the department. Indissoluble are the ties of Davidson's life and activities with Trinity College, which lasted from 1944 to his death. In 1957, he became the college's steward responsible for the entire household, including organisation of receptions of the royal family. The most difficult challenge in this period was the reconstruction of the Old Kitchen, built in 1605. This reconstruction lasted several years in the early 1960s. In 1992–1996, Davidson was vice master of Trinity College. In 1970–1971, Davidson was president of the
Institution of Chemical Engineers; he is a Foreign Associate of the
US National Academy of Engineering (1976), Docteur Honoris Causa de l'Institut National Polytechnique de Toulouse (1979), an Honorary Doctor of Science of the
University of Aston (1989), and a Foreign Fellow of the Indian National Science Academy (1991). He has the Kurnakov Memorial Medal given by the Kurnakov Institute of General and Inorganic Chemistry of the
USSR Academy of Sciences (1991) and was elected a foreign member of the
Russian Academy of Engineering (1998). In 1999, Davidson was awarded the Royal Medal of the Royal Society of London. Davidson was a frequent participant at and guest of Mendeleev congresses, at which he has delivered plenary lectures. He continued active research work at the Department of Chemical Engineering of Cambridge University after his retirement in 1992. ==Personal life==