TY - JOUR AB - Purpose The purpose of this study is to examine the simultaneous effects of Hafnium particles and partially submerged metallic particles for the flow of bi-phase coupled stress fluid over an inclined flat plane.Design/methodology/approach An unflinching free stream flow that stretches far from the surface of the plane with the possibility of containing some partially submerged metallic particles is considered. Innovative model has been proposed and designed using Runge–Kutta–Fehlberg method.Findings The findings show that the drag force resists the couple stress fluid, whereas the Newtonian flow is supported by increasing the velocity. For both types of flows, movement of the particle is retarded gradually against the drag force coefficient.Originality/value To the best of the authors’ knowledge, this model is reported for the first time. VL - 29 IS - 8 SN - 0961-5539 DO - 10.1108/HFF-11-2018-0677 UR - https://doi.org/10.1108/HFF-11-2018-0677 AU - Zeeshan A. AU - Ellahi R. AU - Mabood F. AU - Hussain F. PY - 2019 Y1 - 2019/01/01 TI - Numerical study on bi-phase coupled stress fluid in the presence of Hafnium and metallic nanoparticles over an inclined plane T2 - International Journal of Numerical Methods for Heat & Fluid Flow PB - Emerald Publishing Limited SP - 2854 EP - 2869 Y2 - 2024/04/25 ER -