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International Journal of Fluid Mechanics Research
ESCI SJR: 0.22 SNIP: 0.446 CiteScore™: 0.5

ISSN Druckformat: 2152-5102
ISSN Online: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v41.i3.40
pages 238-259

Numerical Investigations of Oscillatory Motions of a Rotating Viscoelastic Nanofluid Layer in Natural Convection

Veena Sharma
Department of Mathematics & Statistics, Himachal Pradesh University Shimla-171 005, India
Anuradha Chowdhary
Department of Mathematics & Statistics H.P.University, Shimla, India
Renu Kumari
Department of Mathematics & Statistics H.P.University, Shimla, India

ABSTRAKT

The present work aims at studying the oscillatory motions of a rotating viscoelastic nanofluid layer contained between two free boundaries in natural convection. The Oldroyd-B model is utilized to describe the rheological behaviour of a viscoelastic fluid. The model used for nanofluid combines the effect of Brownian motion along with thermophoresis. Using linear stability analysis, the main focus is on the stationary and oscillatory convection for idealized boundary conditions. The explicit expressions of convective thresholds in terms of the control parameters of the system are obtained. The effects of the Deborah number, retardation parameter, concentration Rayleigh number, Prandtl number, Taylor number and Lewis number on the stability of the system have been investigated. Results indicate that there was competition among the processes of thermophoresis, Brownian diffusion, angular velocity and viscoelasticity which cause oscillatory rather than stationary convection to occur. Oscillatory instability is possible with both bottom- and top-heavy nanoparticle distributions. Regimes of stationary and oscillatory convection for various parameters have been derived numerically and discussed in detail.


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