Darcy-Forchheimer casson nanofluid flow with convective boundaries and entropy generation—a regression analysis
摘要
An analysis of entropy generation is crucial for enhancing energy efficiency and sustainability in thermal systems. The objective of this study is to investigate the entropy generation behavior in a three-dimensional MHD convective flow of a Casson nanofluid, subjected to nonlinear thermal radiation and a non-uniform heat source/sink with suction. The model considers flow through a porous medium governed by Darcy-Forchheimer resistance. The given expressions are formulated based on the assumptions and subsequently transformed from dimensional partial to dimensionless ordinary differential equations using the conversion technique. The simplified equations are numerically solved using the MATLAB 'bvp5c' solver. A meticulous analysis of physical factors is presented along with comprehensive tables and illuminating graphs, providing a clear understanding of their influence. This study employs multiple linear regression to investigate the relationships between physical quantities. Furthermore, a good accord is observed when comparing these results with existing data. This study reveals that increasing permeability diminishes the velocity profiles. Elevated Biot and Eckert numbers enhance the temperature profile, whereas suction effectively reduces the fluid temperature. Elevating the non-linear radiation parameter from 1.0 to 1.5 results in a significant 22.93% increase in heat transfer and a notable 22.61% enhancement in mass transfer, as the chemical reaction parameter increases from 0 to 1. The strongest inertia coefficient suppresses the skin drag in axial and transverse directions. Rising