Linear Stability of Thermo Convection in a Nanofluid Through a Porous Medium

Authors

DOI:

https://doi.org/10.26713/cma.v12i3.1528

Keywords:

Nanofluids, Natural convection, linear stability, method of small oscillations

Abstract

This paper aims to investigate the thermal stability of unsteady incompressible nanofluid enclosed within a porous medium using linear stability analysis. The governing equation of nanofluid is framed based on Buongiorno’s model and Darcy law is incorporated to represent flow through a porous substrate. The resulting Eigen value problem is solved by applying normal mode analysis and method of small oscillation is employed to find closed form solutions. Stability characteristics of flow fields have been discussed numerically.

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References

S. Agarwal and B.S. Bhadauria, Thermal instability of a nanofluid layer under local thermal non-equilibrium, Nano Convergence, (2015), 1-16. URL: https://link.springer.com/article/10.1186/s40580-014-0037-z

J. Buongiorno, Convective Transport in Nanofluids, ASME J. Heat Transfer, 128, (2006), 240 – 250. DOI: 10.1115/1.2150834

S. K. Das, S.U.S. Choi and H.E. Patel, Heat Transfer in Nanofluids - A Review, Heat Transfer Engineering, 27(10), (2006), 3-19. URL: https://www.tandfonline.com/doi/full/10.1080/01457630600904593

J.S. Dhiman and S. Nivedita, On the Oscillatory Convective Instability in Nanofluid Layer with Temperature Dependent Viscosity, J. Phys.: Conf. Ser. 1298 (1), (2019), 1 - 7. URL: https://iopscience.iop.org/article/10.1088/1742-6596/1298/1/012026/pdf

Y. Hwang and S.P. Jang, Stability and thermal conductivity characteristics of Nanofluids, Thermochimica Acta, 455(1-2), (2007), 70 -74. URL: https://www.sciencedirect.com/science/article/abs/pii/S0040603106005995

J.P. Kumar, J.C. Umavathi and C. Murthy, Linear and Nonlinear analysis of thermal instability in a porous saturated by a nanofluid, Int. J. Engg. Sci. Mat., 6(4), (2017), 71-89. URL:https://www.indianjournals.com/ijor.aspx?target=ijor:ijesm&volume=6&issue=4&article=007

D.A. Nield and A.V. Kuznetsov, Thermal instability in a porous medium layer saturated by a nanofluid, Int. J. Heat and Mass Transfer, 52(25-26), (2009), 5796-5801. URL: https://www.sciencedirect.com/science/article/abs/pii/S0017931009004578

I.S. Shivakumara and M. Dhananjaya, Onset of convection in a nanofluid saturated porous layer with temperature dependent viscosity, Int. J. Engg. Research and Appl., 4(4), (2014), 80 - 85. URL: https://core.ac.uk/download/pdf/72804339.pdf

J.C. Umavathi, Effect of time-periodic boundary temperature on the onset of nanofluid convection in a layer of a saturated porous medium, Int. J. Phy. Mat. Sci., 7(1), (2013), 191 -196. URL: https://publications.waset.org/9996909/effect-of-time-periodic-boundarytemperature- on-the-onset-of-nanofluid-convection-in-a-layer-of-a-saturated-porousmedium

D. Yadav, G.S. Agrawal and R. Bhargava, The onset of convection in a binary nanofluid saturated porous layer, Int. J. Theoretical and Applied Multiscale Mechanics, 2(3), (2012), 198–224. DOI: 10.1504/IJTAMM.2012.049931

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Published

30-09-2021
CITATION

How to Cite

Aishwarya, S. (2021). Linear Stability of Thermo Convection in a Nanofluid Through a Porous Medium. Communications in Mathematics and Applications, 12(3), 677–689. https://doi.org/10.26713/cma.v12i3.1528

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Research Article