Numerical Computation of Dusty Hybrid Nanofluid Flow and Heat Transfer over a Deformable Sheet with Slip Effect

Nur Syazana Anuar,Norfifah Bachok,Ioan Pop

doi:10.3390/math9060643

Nur Syazana Anuar, Norfifah Bachok + Show 1 more

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https://doi.org/10.3390/math9060643

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Journal: Mathematics	Publication Date: Mar 18, 2021
Citations: 22	License type: CC BY 4.0

Affiliation: Universiti Putra Malaysia, Babeș-Bolyai University

Abstract

The mathematical modeling of dusty Cu-Al2O3/water nanofluid flow driven by a permeable deformable sheet was explored numerically. Rather than no–slip conditions at the boundary, velocity slip and thermal slip were considered. To achieve the system of nonlinear ordinary differential equations (ODEs), we employed some appropriate transformations and solved them numerically using MATLAB software (built–in solver called bvp4c). The influences of relevant parameters on fluid flow and heat transfer characteristics are discussed and presented in graphs. The findings showed that double solutions appeared in the case of stretching and shrinking sheets which contributed to the analysis of stability. The stability analysis, therefore, confirmed that merely the first solution was a stable solution. The addition of nanometer-sized particles (Cu) was found to significantly strengthen the heat transfer rate of the dusty nanofluid. Meanwhile, an upsurge in the velocity and thermal slip was shown to decrease the local Nusselt number. The result also revealed that an increment of fluid particle interaction decreased the boundary layer thickness.

Highlights

For a number of years, studies of the heat transfer characteristics of dusty fluid flow—in terms of understanding various real-world problems, especially in atmospheric, physiological and engineering fields—have captivated the attention of numerous researchers
Chakrabarti [5] conducted a study of dusty gas using boundary layer theory, and soon thereafter, Datta and Mishra [6] and Vajravelu and Nayfeh [7] examined dusty fluid flow over a semi-infinite flat plate and stretching sheet, respectively
Motivated by the aforementioned work, our aim is to examine the effect of both velocity and thermal slip on the heat transfer of a dusty hybrid nanofluid

Summary

Introduction

For a number of years, studies of the heat transfer characteristics of dusty fluid flow (two-phase fluid)—in terms of understanding various real-world problems, especially in atmospheric, physiological and engineering fields—have captivated the attention of numerous researchers. Saffman [4] first formulated dusty fluid flow equations and evaluated the stability of the laminar flow of a dusty gas wherein particles were evenly scattered. Chakrabarti [5] conducted a study of dusty gas using boundary layer theory, and soon thereafter, Datta and Mishra [6] and Vajravelu and Nayfeh [7] examined dusty fluid flow over a semi-infinite flat plate and stretching sheet, respectively.

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