Following the 2003 INI programme Granular and Particle-Laden Flows, the Institute of Mathematics and its Applications has held two conferences on Dense Granular Flows at the Isaac Newton Institute: 5 - 9 January 2009 IMA Conference on Dense Granular Flows 1 - 4 July 2013 2nd IMA Conference on Dense Granular Flows Flows involving solid particulates are ubiquitous in nature and industry alike. Such flows are found in pharmaceutical production, the chemical industry, the food and agricultural industries, energy production and the environment. Many unsolved problems remain, however. For...