Abstract

This article comprises the study of three-dimensional squeezing flow of (CNT-SiO2/H2O) hybrid nanofluid. The flow is confined inside a rotating channel whose lower wall is stretchable as well as permeable. Heat transfer with viscous dissipation is a main subject of interest. We have analyzed mathematically the benefits of hybridizing SiO 2 -based nanofluid with carbon nanotubes ( CNTs ) nanoparticles. To describe the effective thermal conductivity of the CNTs -based nanofluid, a renovated Hamilton–Crosser model (RHCM) has been employed. This model is an extension of Hamilton and Crosser’s model because it also incorporates the effect of the interfacial layer. For the present flow scenario, the governing equations (after the implementation of similarity transformations) results in a set of ordinary differential equations (ODEs). We have solved that system of ODEs, coupled with suitable boundary conditions (BCs), by implementing a newly proposed modified Hermite wavelet method (MHWM). The credibility of the proposed algorithm has been ensured by comparing the procured results with the result obtained by the Runge-Kutta-Fehlberg solution. Moreover, graphical assistance has also been provided to inspect the significance of various embedded parameters on the temperature and velocity profile. The expression for the local Nusselt number and the skin friction coefficient were also derived, and their influential behavior has been briefly discussed.

Highlights

  • Over a past few decades, nanofluid has displayed unprecedented potential applications in many disciplines, including microelectronics, microfluidics, transportation, biomedical circuits, optical devices, industrial cooling applications, aerospace, nuclear cooling systems, automotive sector, chemical, Processes 2019, 7, 937; doi:10.3390/pr7120937 www.mdpi.com/journal/processesProcesses 2019, 7, 937 and electrical engineering

  • This model effectively predicts an enhancement in the thermal conductivity of nanofluid via augmenting the nanoparticles volume fraction

  • Further studies have exposed a diverse class of models, which incorporates different features of nanomaterials, like Brownian motion [5], nanoparticles size [6,7], shapes [8], liquid layering [9], and particles agglomeration [10,11], in order to examine the variations in thermo-physical characteristics of nanofluid

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Summary

Introduction

Over a past few decades, nanofluid has displayed unprecedented potential applications in many disciplines, including microelectronics, microfluidics, transportation, biomedical circuits, optical devices, industrial cooling applications, aerospace, nuclear cooling systems, automotive sector, chemical, Processes 2019, 7, 937; doi:10.3390/pr7120937 www.mdpi.com/journal/processes. The enormously exciting applications of the fluid flowing inside a channel exhibiting a squeezed wall motion have gained the fancy of scientists worldwide They have paved a way in various industrial and physical processes such as food industry, biomechanics, polymer processing, the formation of lubrication, automotive engines, bearings, appliances, and blood flow in vessels due to dilation and contraction. Hybrid nanofluid, inside a three-dimensional rotatory channel, whose upper wall exhibits a squeezing motion, while the lower one is permeable and capable of being stretched It has numerous practical and theoretical relevance in engineering, industries, and geophysics like in the food and chemical process industry, ground and air conveyance automobiles, rotating machines, industrial plants, and centrifugal filtration processes. We are hopeful that the numerical outcomes of this study will help in designing the effective system of cooling of many electrical rotating machines

Formulation of Governing Equations
Wavelets and Hermite Wavelets
Modified Hermite Wavelet Method and Solution Procedure
Discussions
F Figure
Impact
Conclusions

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