najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/22208054201785606612najo-623Research ArticlePHYSICSФИЗИКАThe effect of vertical throughflow in Rivlin–Ericksen elasticoviscous nanofluid in a nonDarcy porous mediumSainiS.

Hamirpur (H.P.), India177005

shivani2291993@gmail.comSharmaY. D.

Hamirpur (H.P.), India177005

Department of Mathematics, National Institute of Technology HamirpurIndia20171208202585606612Copyright © Saini S., Sharma Y.D., 20252025Saini S., Sharma Y.D.Saini S., Sharma Y.D.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/623

The instability of convection in a Rivlin–Ericksen elasticoviscous nanofluid with vertical throughflow is investigated using the linear stability theory. A modified Brinkman model is employed and singleterm Galerkin method is used to solve the conservation equations. Nine dominating parameters are extracted from the analysis. Due to the combined effect of vertical throughflow, Brownaian motion, and thermophoresis, the Rayleigh number is reduced by a substantial amount. It is found that through flow delays the convection while other nanofluid parameter enhance the convection. The thermal capacity ratio, kinematics viscoelasticity, and Vadasz number do not govern stationary convection. Using the convective component of nanoparticle flux, the critical wave number is a function of nanofluid parameters as well as throughflow parameter. Major trends are investigated briefly by plotting the graphs.

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The authors declare that there are no conflicts of interest present.