Modelling of heat and mass transfer problem and associated fluid-flows relevant to contemporary term engineering problems are of great interest for developing new tech-nologies assuring comfortable life and ergonomic working conditions. Thermal problem with associate mass and fluid-flows exist are related to almost all aspects of the natural and engineering world containing an implausibly extensive range of scales from flows in bio-logical cells, technological processes, modern building heating/cooling, clothing comfort, etc. The goal of this special issue is to report latest progress in modelling of local and non-local transport phenomena. This is a collection of 40 articles covering broad aspects of heat, mass, and momentum transfer thus allowing seeing the powerful sides of mathematical modelling. We believe that the 40 articles presented here will serve as comprehensive sources of information what are the contemporary trends in modelling of transport phenomena involving heat, mass and fluid-flow and will motivate many authors to work on such problems.