A Brief Technical Note on the Onset of Convection in a Horizontal Nanofluid Layer of Finite Depth via Wakif-Galerkin Weighted Residuals Technique (WGWRT)

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The onset of convection in a horizontal nanofluid layer of finite depth is a subject that can never be over-emphasized as it plays a significant role in controlling the transport phenomenon within a nanofluidic medium. This body of knowledge led to a doubtful report in 2014 by Nield and Kuznetsov concerning some obtained equations and established results. However, the accuracy of the thermal stability characteristics is strongly dependent on the used model as well as the employed methodological procedure. In this report, countable models are suggested as a better improvement of the aforementioned analysis. Either mathematical or technical point of view, it is worth concluding that the approximate analytical results elaborated by Nield and Kuznetsov can be improved properly by using the models presented herein.

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90-94

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May 2021

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© 2021 Trans Tech Publications Ltd. All Rights Reserved

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[1] D.A. Nield, A. V Kuznetsov, The Onset of Convection in a Horizontal Nanofluid Layer of Finite Depth : A Revised Model, Int. J. Heat Mass Transf. 77 (2014) 915–918.

DOI: 10.1016/j.ijheatmasstransfer.2014.06.020

Google Scholar

[2] A. Wakif, Z. Boulahia, F. Ali, M.R. Eid, R. Sehaqui, Numerical Analysis of the Unsteady Natural Convection MHD Couette Nanofluid Flow in the Presence of Thermal Radiation Using Single and Two-Phase Nanofluid Models for Cu-Water Nanofluids, Int. J. Appl. Comput. Math. 4, 81 (2018).

DOI: 10.1007/s40819-018-0513-y

Google Scholar

[3] A. Wakif, Z. Boulahia, A. Amine, I.L. Animasaun, M.I. Afridi, M. Qasim, R. Sehaqui, Magneto-convection of alumina - water nanofluid within thin horizontal layers using the revised generalized Buongiorno's model, Front. Heat Mass Transf. 12 (2019) 1–15.

DOI: 10.5098/hmt.12.3

Google Scholar

[4] A. Wakif, A. Chamkha, T. Thumma, I.L. Animasaun, R. Sehaqui, Thermal radiation and surface roughness effects on the thermo-magneto-hydrodynamic stability of alumina-copper oxide hybrid nanofluids utilizing the generalized Buongiorno's nanofluid model, J. Therm. Anal. Calorim. (2020).

DOI: 10.1007/s10973-020-09488-z

Google Scholar

[5] A. Wakif, R. Sehaqui, Generalized differential quadrature scrutinization of an advanced MHD stability problem concerned water-based nanofluids with metal/metal oxide nanomaterials: A proper application of the revised two-phase nanofluid model with convective heating and through‐flow boundary conditions, Numer. Methods Partial Differ. Equ. (2020). doi:https://doi.org/10.1002/num.22671.

DOI: 10.1002/num.22671

Google Scholar

[6] A. Wakif, Z. Boulahia, R. Sehaqui, Numerical study of the onset of convection in a Newtonian nanofluid layer with spatially uniform and non- uniform internal heating, J. Nanofluids. 6 (2017) 136–148.

DOI: 10.1166/jon.2017.1293

Google Scholar

[7] A. Wakif, Z. Boulahia, S.R. Mishra, M.M. Rashidi, R. Sehaqui, Influence of a uniform transverse magnetic field on the thermo-hydrodynamic stability in water-based nanofluids with metallic nanoparticles using the generalized Buongiorno's mathematical model, Eur. Phys. J. Plus. 133 (2018) 1–16.

DOI: 10.1140/epjp/i2018-12037-7

Google Scholar

[8] A. Wakif, Z. Boulahia, R. Sehaqui, Numerical analysis of the onset of longitudinal convective rolls in a porous medium saturated by an electrically conducting nanofluid in the presence of an external magnetic field, Results Phys. 7 (2017) 2134–2152.

DOI: 10.1016/j.rinp.2017.06.003

Google Scholar

[9] J. Buongiorno, Convective Transport in Nanofluids, J. Heat Transfer. 128 (2006) 240–250.

DOI: 10.1115/1.2150834

Google Scholar

[10] F. Mebarek-Oudina, Convective heat transfer of Titania nanofluids of different base fluids in cylindrical annulus with discrete heat source, Heat Transf. Res. 48 (2019) 135–147.

DOI: 10.1002/htj.21375

Google Scholar

[11] J. Raza, F. Mebarek-Oudina, P. Ram, S. Sharma, MHD Flow of Non-Newtonian Molybdenum Disulfide Nanofluid in a Converging/Diverging Channel with Rosseland Radiation, Defect Diffus. Forum. 401 (2020) 92–106.

DOI: 10.4028/www.scientific.net/ddf.401.92

Google Scholar

[12] J. Reza, F. Mebarek-Oudina, O.D. Makinde, MHD Slip Flow of Cu-Kerosene Nanofluid in a Channel with Stretching Walls Using 3-Stage Lobatto IIIA Formula, Defect Diffus. Forum. 387 (2018) 51–62.

DOI: 10.4028/www.scientific.net/ddf.387.51

Google Scholar

[13] S. Marzougui, F. Mebarek-Oudina, A. Assia, M. Magherbi, Z. Shah, K. Ramesh, Entropy generation on magneto-convective flow of copper-water nanofluid in a cavity with chamfers, J. Therm. Anal. Calorim. (2020).

DOI: 10.1007/s10973-020-09662-3

Google Scholar

[14] F. Mebarek-Oudina, A. Aissa, B. Mahanthesh, H.F. Öztop, Heat transport of magnetized Newtonian nanoliquids in an annular space between porous vertical cylinders with discrete heat source, Int. Commun. Heat Mass Transf. 117 (2020) 104737.

DOI: 10.1016/j.icheatmasstransfer.2020.104737

Google Scholar

[15] R.K. Tiwari, M.K. Das, Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids, Int. J. Heat Mass Transf. 50 (2007) 2002–2018.

DOI: 10.1016/j.ijheatmasstransfer.2006.09.034

Google Scholar

[16] A. Wakif, Z. Boulahia, R. Sehaqui, A Semi-Analytical Analysis of Electro-Thermo-Hydrodynamic Stability in Dielectric Nanofluids Using Buongiorno's Mathematical Model Together with More Realistic Boundary Conditions, Results Phys. 9 (2018) 1438–1454.

DOI: 10.1016/j.rinp.2018.01.066

Google Scholar