Rayleigh-Bénard convection in an elastico-viscous Walters’ (model B’) nanofluid layer

Bulletin of the Polish Academy of Sciences. Technical Sciences

R. ChandDepartment of Mathematics, Government P. G. College, Dhaliara-177103 Himachal Pradesh, IndiaOther articles by this author:De Gruyter OnlineGoogle Scholar¹  G.C. RanaCorresponding authorDepartment of Mathematics, Sidharth Govt. College, Nadaun -177033 Himachal Pradesh, IndiaEmailOther articles by this author:De Gruyter OnlineGoogle Scholar² 

[1] Department of Mathematics, Government P. G. College, Dhaliara-177103 Himachal Pradesh, India;Department of Mathematics, Sidharth Govt. College, Nadaun -177033 Himachal Pradesh, India

关键词: Keywords : nanofluid;    oscillatory convection;    Rayleigh-Bénard convection;    viscoelasticity;    Walters’ (model B’) fluid;   

DOI  :  10.1515/bpasts-2015-0028

学科分类：工程和技术（综合）

来源: Polska Akademia Nauk * Centrum Upowszechniania Nauki / Polish Academy of Sciences, Center for the Advancement of Science

【 摘 要 】

In this study, the onset of convection in an elastico-viscous Walters’ (model B’) nanofluid horizontal layer heated from below is considered. The Walters’ (model B’) fluid model is employed to describe the rheological behavior of the nanofluid. By applying the linear stability theory and a normal mode analysis method, the dispersion relation has been derived. For the case of stationary convection, it is observed that the Walters’ (model B’) elastico-viscous nanofluid behaves like an ordinary Newtonian nanofluid. The effects of the various physical parameters of the system, namely, the concentration Rayleigh number, Prandtl number, capacity ratio, Lewis number and kinematics visco-elasticity coefficient on the stability of the system has been numerically investigated. In addition, sufficient conditions for the non-existence of oscillatory convection are also derived.

【 授权许可】

Unknown