An implication of magnetic dipole in Carreau Yasuda liquid influenced by engine oil using ternary hybrid nanomaterial

Abstract

Abstract The aim of this work was to study the enhancement of thermal transportation in Carreau Yasuda liquid passed over a vertical surface in the presence of magnetic dipole. A mixture of tri-hybrid nanoparticles <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msub> <m:mrow> <m:mtext>(Al</m:mtext> </m:mrow> <m:mrow> <m:mn>2</m:mn> </m:mrow> </m:msub> <m:msub> <m:mrow> <m:mtext>O</m:mtext> </m:mrow> <m:mrow> <m:mn>3</m:mn> </m:mrow> </m:msub> <m:mtext>,</m:mtext> <m:mspace width=".25em"/> <m:msub> <m:mrow> <m:mtext>MoS</m:mtext> </m:mrow> <m:mrow> <m:mn>3</m:mn> </m:mrow> </m:msub> <m:msub> <m:mrow> <m:mtext>, TiO</m:mtext> </m:mrow> <m:mrow> <m:mn>3</m:mn> </m:mrow> </m:msub> <m:mtext>)</m:mtext> </m:math> {\text{(Al}}_{2}{\text{O}}_{3}\text{,}\hspace{.25em}{\text{MoS}}_{3}{\text{, TiO}}_{3}\text{)} is inserted into the Carreau Yasuda liquid. The transport phenomenon of heat is derived in the presence of heat source/sink contribution. The concept boundary layer theory is engaged to derive the mathematical expression for momentum and energy in the form of coupled partial differential equations. The derivations are transformed into a set of coupled nonlinear ordinary differential equations (ODEs) with the help of suitable similarity transformation. These converted ODEs have been handled numerically via finite element method. The grid-independent analysis is established for 300 elements. The impact of numerous involved parameters on temperature and velocity solution is plotted and their contribution is recorded. Temperature profile is inclined versus the higher values of heat generation and viscous dissipation numbers while thermal layers are also increasing the behavior. A vital role of magnetic dipole is examined to raise the production of thermal layers but declination is noticed in flow profile.

Topics & Concepts