The objective of this work is to examine how temperature dependent thermal conductivity and concentration dependent molecular diffusion affects Reiner-Philippoff nanofluid flow past a nonlinear stretching sheet. At the interface of elongated surface zero-mass flux and melting heat condition are incorporated. The formulated mathematical problem is simplified by implementing suitable similarity transformations. For the numerical solution bvp4c is utilized. The parameters emerging in the model are discussed versus allied profiles through graphical illustrations. It is perceived that the velocity of the fluid decays on incrementing the Bingham number. The gyrotactic microorganism profile declines on amplifying the Peclet number. The validation of the proposed model is also added to this study.

Keywords: Reiner-Philippoff nanofluid; Nonlinear stretching sheet; Melting heat transfer; Gyrotactic micro-organisms.

Dr. Muhammad Ramzan is working as a Professor at Bahria University, Islamabad, Pakistan. He has an experience of 27 years of teaching and research. He obtained his Ph.D. (Applied Mathematics) from Quaid-i-Azam University, Islamabad, in 2010. He is the pioneer to start MS/Ph.D.  Mathematics) programs at Bahria University, Islamabad Campus. He has published 183 ISI Indexed papers in internationally reputed Journals. He was a visiting Professor at Jiangsu University, China, and Sejong University, South Korea. At present, he is a visiting Professor at the Beijing University of Civil Engineering and Architecture, Beijing, China. He has also authored a book. His name was included in the list of the top 2% scientists of in the world in an independent study conducted by a group of scientists from Stanford University, USA, in the years 2020, 2021, and 2022. His paper received the “Best Paper Award” at the 7th International Conference on Advanced Technologies (ICAT), Antalya, Turkey, April 28-May 1, (2018).  He was also declared “Best Presenter” at the 4th international conference on Technology, Engineering, and Science (ICONTES), Kuala Lumpur, Malaysia, August 5-6, (2017). He was the Keynote Speaker at the 8^th International Conference and Workshop on Basic and Applied Sciences (ICOWOBAS), Indonesia, August 25-26, (2021), 9^th International Conference of Mechanical Engineering, Material Science, and Civil Engineering, Xi’an, China, December 7, (2021), and Guest Speaker at Virtual Summer School, Beijing University of Civil Engineering and Architecture, Beijing, China. He is a recipient of the HEC Indigenous Scholarship for Ph.D. studies. He also won certain HEC research projects. Three Ph.D. and twenty-one MS students have completed their thesis under his supervision. One Ph.D. is still with him and she is in the research phase.