A comparative analysis of hybrid nanofluid flow through an electrically conducting vertical microchannel using Yamada-Ota and Xue models

An induced magnetic field is produced owing to an electric current flowing through the conductor. The induced magnetic field and the length of the conductor are in direct proportion. The current study examines the comparison of Yamada-Ota and Xue thermal conductivity models for a mixed convective hybrid nanoliquid flow through the permeable vertical channel influenced by an induced magnetic field. The projected model is supported by the combination of thermal radiation and heat generation and multiple slip conditions imposed on the walls. The Tiwari and Das model is adopted considering engine oil as a working liquid with immersed multiwalled and single-walled carbon nanotubes (CNTs) nanoparticles. The unique combination of strength, conductivity, and other properties make CNTs a promising material for an extensive variety of applications. These governing partial differential equations undergo conversion to ordinary differential equations via the similarity transformation and are then numerically processed with the bvp4c technique of the MATLAB program. The outcomes are deliberated logically via illustrations and tables. It is perceived that fluid velocity is compromised by strengthening the induced magnetic field. Nevertheless, an opposing trend is witnessed for the enhanced values of the Prandtl number.

Automated summary

The study compares the Yamada-Ota and Xue thermal conductivity models for a mixed convective hybrid nanoliquid flow in a permeable vertical channel influenced by an induced magnetic field. The model considers thermal radiation, heat generation, and multiple slip conditions on the walls. The governing partial differential equations are transformed into ordinary differential equations using the similarity transformation and numerically solved using the bvp4c technique in MATLAB. The results are logically analyzed through illustrations and tables, showing that the induced magnetic field weakens the fluid velocity while an opposite trend is observed for higher Prandtl numbers.