A semi-analytical analysis of electro-thermo-hydrodynamic stability in dielectric nanofluids using Buongiorno’s mathematical model together with more realistic boundary conditions

Wakif, Abderrahim; Boulahia, Zoubair; Sehaqui, Rachid

doi:10.1016/j.rinp.2018.01.066

Cited by 87 publications

(28 citation statements)

References 26 publications

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“…Within the framework of the above-mentioned assumptions, the gravitational body force (Wakif et al, 2018a(Wakif et al, , 2018b(Wakif et al, , 2018c and the Lorentz force (Chandrasekhar, 1961) are expressed by: Here, * is the nanofluid velocity vector, * denotes the induced magnetic field and ∇ * refers to the nabla vector operator, whereas * , * , * , * represent the time , the pressure, the temperature and the volume fraction of solid nanoparticles, respectively, where * = ( * , * , * ), * = ( * , * , * ) and…”

Section: Problem Formulationmentioning

confidence: 99%

“…In addition to the above findings, it is important to mention here that the basic volumetric fraction of solid nanoparticles established in Eq. (40) is found analytically by taking into account the newest wakif's results (Wakif et al, 2016(Wakif et al, , 2018a(Wakif et al, , 2018b(Wakif et al, , 2018c concerning the revised nanofluid model, such that:…”

Section: Basic Solutionsmentioning

confidence: 99%

“…For a more explanation and detailed description of WGWRT , the interested reader is strongly encouraged to refer to the pioneering work of Wakif et al (2018c), in which WGWRT is used as a semianalytical method for analyzing the onset of electro-convection in dielectric nanofluids.…”

Section: Numerical Analytical and Semi-analytical Validationsmentioning

confidence: 99%

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Magneto-Convection of Alumina - Water Nanofluid Within Thin Horizontal Layers Using the Revised Generalized Buongiorno's Model

Wakif¹,

Boulahia²,

Amine³

et al. 2018

Frontiers in Heat and Mass Transfer

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The significance of an externally applied magnetic field and an imposed negative temperature gradient on the onset of natural convection in a thin horizontal layer of alumina-water nanofluid for various sizes of spherical alumina nanoparticles (e.g., 30 , 35 , 40 , 45) and volumetric fractions (e.g., 0.01, 0.02, 0.03, 0.04) is explored and analyzed numerically in this paper. The generalized Buongiorno's mathematical model with the simplified Maxwell's equations and the Oberbeck-Boussinesq approximation were adopted to simulate the two-phase transport phenomena, in which the Brownian motion and thermophoresis aspects are taken into account. Moreover, the rheological behavior of alumina-water nanofluid and related flow are assumed to be Newtonian, incompressible and laminar. Based on the linear stability theory, the perturbed partial differential equations (PDEs) of magnetohydrodynamic convective nanofluid flow are firstly simplified formally using the normal mode analysis technique and secondly converted to a generalized eigenvalue problem considering more realistic boundary conditions, in which the thermal Rayleigh number is the associated eigenvalue. Additionally, the resulting eigenvalue problem was solved numerically using powerful collocation methods, like Chebyshev-Gauss-Lobatto Spectral Method (CGLSM) and Generalized Differential Quadrature Method (GDQM). Furthermore, the thermo-magneto-hydrodynamic stability of the nanofluidic system and the critical size of convection cells are highlighted graphically in terms of the critical thermal Rayleigh and wave numbers, for various values of the magnetic Chandrasekhar number, the volumetric fraction and the diameter of alumina nanoparticles.

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Section: Problem Formulationmentioning

confidence: 99%

Section: Basic Solutionsmentioning

confidence: 99%

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Magneto-Convection of Alumina - Water Nanofluid Within Thin Horizontal Layers Using the Revised Generalized Buongiorno's Model

Wakif¹,

Boulahia²,

Amine³

et al. 2018

Frontiers in Heat and Mass Transfer

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“…Time-dependent tangent hyperbolic uid ow past a wedge with nanoparticles was ascertained by Atif et al [35], and they noticed that the concentration pro le was enhanced for escalating values of generalized Biot number. For further reading, see [36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

Effect of thermal radiation on MHD micropolar Carreau nanofluid with viscous dissipation, Joule heating and internal heating

2019

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The aim of the present study is to analyze the magnetohydrodynamic micropolar Carreau nano uid ow past a stretching sheet. Viscous dissipation, internal heating, Joule heating, and linear thermal radiation e ects are also incorporated into the energy equation. The system of governing PDEs is transformed into the ODEs by invoking the similarity transformation. The shooting method is implemented to solve the system of ODEs. The in uence of pertinent parameters on ow distributions is analyzed graphically and discussed in detail. The uid motion upsurges for the larger values of the Weissenberg number and the material parameter, while the reverse situation is studied in the thermal and concentration pro les.

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“…These characteristics make such fluids important in numerous applications like viscous damper for gravity gradient satellites, rotating anode X-ray generators, energy conversion devices, magnetic cell separation and magnetic drug targeting. Studies regarding the nano fluid flow with different flow geometries are listed [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27]. Suction/injection of the fluid from the boundary of the system can considerably affect the flow.…”

Section: Introductionmentioning

confidence: 99%

Series solution of slip flow of Al2O3 and Fe3O4 nanoparticles in a horizontal channel with porous medium by using least square and Galerkin methods

et al. 2019

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In this problem, a theoretical study is presented for the slip effects on the twodimensional flow of a nano liquid in a semi-porous channel designed by two long rectangular plates having porous media. One of the channel walls is porous and other is rigid as well as slippery. A transverse magnetic field of homogenous strength is also applied to direction of flow. Magnetic nanoparticles   34 Fe O and non-magnetic nanoparticles   23 Al O are considered with ethylene glycol (EG) and water as base fluids (BFs). Least Square method (LSM) and Galerkin method (GM) are adopted to solve the equations, transformed from partial differential equations (DEs) to ordinary ones by Berman's similarity transformations. The obtained results from the two analytical methods are compared with the results obtained by fourth order Runge-Kutta numerical method (NM). By comparing the results of GM and LSM it is observed that variation in velocity profiles is minimal however the accuracy of GM is higher than LSM. The contributions of various flow parameters are presented through graphs. Results show a decrement in the fluid velocity with an increase in the slip and porosity parameter. The fluid boundary layer decreases with an increase in the Reynolds number. Flow field is less for the case of magnetic nanoparticles as compared to nonmagnetic particles.

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A semi-analytical analysis of electro-thermo-hydrodynamic stability in dielectric nanofluids using Buongiorno’s mathematical model together with more realistic boundary conditions

Cited by 87 publications

References 26 publications

Magneto-Convection of Alumina - Water Nanofluid Within Thin Horizontal Layers Using the Revised Generalized Buongiorno's Model

Magneto-Convection of Alumina - Water Nanofluid Within Thin Horizontal Layers Using the Revised Generalized Buongiorno's Model

Effect of thermal radiation on MHD micropolar Carreau nanofluid with viscous dissipation, Joule heating and internal heating

Series solution of slip flow of Al2O3 and Fe3O4 nanoparticles in a horizontal channel with porous medium by using least square and Galerkin methods

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