Dixon-Lewis was educated at Newport High School and read chemistry at Jesus College, Oxford from 1940 to 1944. He earned a DPhil in 1948, and studied with John Wilfrid Linnett. In 1953 he joined the Department of Coal Gas and Fuel Industries (later the Department of Fuel and Energy) at the University of Leeds as a research chemist, ultimately being appointed to a personal chair in 1978. He retired from the University in 1987 with the title of Emeritus Professor.
In 1990 Professor Dixon-Lewis was awarded both the Egerton Gold Medal and the Silver Medal of the Combustion Institute. In 1993, he was the recipient of the Royal Society of Chemistry’s Award for Combustion and Hydrocarbon Oxidation Chemistry. Two years later, he was awarded the Dionizy Smolenski Medal of the Combustion Section of the Polish Academy of Sciences. In 1997 he received the Sugden Award of the British Section of the Combustion Institute and in 2008 he was awarded the Huw Edwards Prize of the Institute of Physics for services to combustion physics.
- Bradley, Derek (2012). "Graham Dixon-Lewis. 1 July 1922 -- 5 August 2010". Biographical Memoirs of Fellows of the Royal Society. doi:10.1098/rsbm.2011.0024.
- Dixon-Lewis, G. (2006). "Laminar premixed flame extinction limits. II Combined effects of stretch and radiative loss in the single flame unburnt-to-burnt and the twin-flame unburnt-to-unburnt opposed flow configurations". Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 462 (2066): 349. Bibcode:2006RSPSA.462..349D. doi:10.1098/rspa.2005.1549.
- University of Leeds, Obituary