International Journal of Mathematics Trends and Technology
Volume 67 | Issue 11 | Year 2021 | Article Id. IJMTT-V67I11P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I11P505
The effect of couple stress on thermal instability of visco-elastic Walter’s (modal B´) nanofluid layer through a porous medium is analytically and graphically discussed in this paper. The effects of the physical parameters such as nano particle Rayleigh number, Lewis number, modified diffusivity ratio, and couple stress on the stationary deportation have been observed by applying perturbation method and normal mode analysis. It is found that modified diffusivity ratio, nano particle Rayleigh number and Lewis number have stabilizing effect on stationary deportation whereas couple stress shows a destabilizing effect for stationary convection.
[1] D.Kapil and S. Kumar, Hydromagnetic stability of visco-elastic Walter’s (modal B’) nanofluid layer heated from below,IJEDR, 8
(2) (2020)
170-178.
[2] S. Chandrasekhar, Hydrodynamic and Hydromagnetic stability, Dover Publication, Newyork, (1981)
[3] R.C.Sharma, A.K.Aggarwal, Effect of compressibility and suspended particles on thermal convection in a Walters’ (modal B’) elastic-viscous
fluid in hydromagnetics. Int. J. of Applied Mechanics and Engineering,11(2) (2006) 391-398.
[4] K.Pundir, D.Kapil, R.Pundir, Effect of suspended particles on Rayleigh Bѐnard convection in visco-elastic Walter’s (modal B’) nanofluid in
porous medium,IJRAR,8(4) (2021) 231-239.
[5] R.C.Sharma, Sunil, Thermal instability of an Oldroydian viscoelastic fluid with suspended particles in hydromagnetics in a porous medium, J. of
Polymer Plastic Technology and Engineering, 33 (1994) 323-329.
[6] D.Kapil, S.K.Pundir, R.Pundir, Hydromagnetic impermanence of visco-elastic Rivlin-Ericksen nanofluid saturated by a Darcy-Brinkman porous
medium, Journal of critical Reviews,7(14) (2020) 4019-4030.
[7] V.K.Stokes, Couple-Stresses in fluids, Phys. Fluids, 9 (1966) 1709-1715.
[8] R.C.Sharma,S. Sharma, R.C. Chandel, Effect of suspended particles on couple-stress fluid heated and soluted from below in porous medium,
J.Porous media, 7(1) (2004) 9-18.
[9] J.S.Shivakumar, S. Sureshkumar, N.Devaraju, Coriolis effect on thermal convection in a couple-stress fluid-saturated rotating rigid porous
layer,Arch. Appl. Math.,81 (2011) 513-530.
Sudhir Kumar Pundir , Deepak kapil, Rimple Pundir, "Effect of Couple Stress On Thermal Instability of Visco-Elastic Walter’s (Modal B´) Nanofluid Layer Through A Porous Medium," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 11, pp. 38-46, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I11P505
PDF 
Abstract 
Keywords 
References 
Citation