Abstract

Engineers, scientists and mathematicians are greatly concerned about the thermal stability/instability of any physical system. Current contemplation discusses the role of the Soret and Dufour effects in hydro-magnetized Carreau–Yasuda liquid passed over a permeable stretched surface. Several important effects were considered while modelling the thermal transport, including Joule heating, viscous dissipation, and heat generation/absorption. Mass transportation is presented in the presence of a chemical reaction. Different nanoparticle types were mixed in the Carreau–Yasuda liquid in order to study thermal performance. Initially, governing laws were modelled in the form of PDEs. Suitable transformation was engaged for conversion into ODEs and then the resulting ODEs were handled via FEM (Finite Element Method). Grid independent analysis was performed to determine the effectiveness of the chosen methodology. Several important physical effects were explored by augmenting the values of the influential parameters. Heat and mass transfer rates were computed against different parameters and discussed in detail.

Highlights

  • The mechanism of transport phenomenon in different materials has received reasonable attention recently due to its wider applications in industry and different medical processes

  • Nazir et al [22] discussed the numerical results of the Carreau–Yasuda liquid in heat/energy considering the hybrid nanoparticles and nanomaterials, numerically solved by the finite element approach

  • Dufour influences are captured with heat generation and chemical reaction

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Summary

Introduction

The mechanism of transport phenomenon in different materials has received reasonable attention recently due to its wider applications in industry and different medical processes. Upadhay and Raju [12] examined the inclusion of dust particles in Eyring–Powell material over a stretched sheet They studied the thermal and mass transport in dusty Eyring–Powell nanofluid by engaging the revised definitions of mass and heat fluxes. Chu et al [19] modeled correlations between nanoparticles and hybrid nanoparticles, considering activation energy and chemical reaction They noticed thermal aspects past a parabolic surface using a finite element scheme. Nazir et al [22] discussed the numerical results of the Carreau–Yasuda liquid in heat/energy considering the hybrid nanoparticles and nanomaterials, numerically solved by the finite element approach. Nazir et al [22] dis of 18 cussed the numerical results of the Carreau–Yasuda liquid in heat/energy considering the hybrid nanoparticles and nanomaterials, numerically solved by the finite element approach.

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