Ephesus O. Fatunmbi, Samuel A. Oke, Olusegun A. Olaiju

The thermal behaviour of nanofluids in complex geometries and under convective heating conditions offers essential applications for designing efficient heat exchangers and cooling systems in various industrial thermal devices. Thus, this article is embarked upon to investigate the Casson nanofluid’s thermal properties over a three-dimensional plate that stretches in a nonlinear bilateral direction. The thermal field is developed by incorporating the nonlinear Rosseland approximation, an internal heat source or absorption coupled with the convective heating at the boundary, Brownian motion, and thermophoresis effects. The constructed mathematical model is further scrutinized and refined into a non-dimensional version via similarity transformation quantities, while the results for the set of nonlinear equations are obtained numerically by shooting and Runge-Kutta Fehlberg techniques. The validity of the solution in this study is authenticated by comparing it with previous similar studies in the literature under some strict restrictions. The resultant effects of the dimensionless parameters that contribute to the physical analysis are communicated through various graphs. The material and power-law index parameters are found to decelerate fluid motion, but radiation, heat source, and Casson fluid terms raise the temperature profiles. Heat transmission progresses with a hike in the Prandtl number, power-law index, and heat sink, but the reverse is the case for thermophoresis and radiation terms. Keywords: Casson nanofluid; Convective heating; Dual-Extending sheet; Thermal radiation; Thermophoresi 0150