Corrigendum to “Identification of two-phase watereair flow patterns in a vertical pipe using fuzzy logic and genetic algorithm” [Appl Thermal Eng 85 (2015) 195e206] Pedram Hanafizadeh a , S.M. Pouryoussefi b , Milad Fathpour a , Yuwen Zhang b, * a Center of Excellence in Design and Optimization of Energy Systems (CEDOES), School of Mechanical Engineering, College of Engineering, University of Tehran, P.O. Box: 11155-4563, Tehran, Iran b Department of Mechanical and Aerospace Engineering, University of Missouri, Columbia, MO, 65211, USA The authors regret that there were two authors, Pedram Hanafizadeh and Milad Fathpour, missing from the authorship of their paper. The above authorship is now correct. Acknowledgements The authors would like to add the following statement: “The authors would like to express their thanks to the Center of Excellence in Design and Optimization of Energy Systems (CEDOES), in University of Tehran, for its support through the research. The authors would like to apologize for any inconvenience caused. DOI of original article: http://dx.doi.org/10.1016/j.applthermaleng.2015.04.006. * Corresponding author. E-mail address: zhangyu@missouri.edu (Y. Zhang). Contents lists available at ScienceDirect Applied Thermal Engineering journal homepage: www.elsevier.com/locate/apthermeng http://dx.doi.org/10.1016/j.applthermaleng.2015.07.017 1359-4311 Applied Thermal Engineering 90 (2015) 683