Temporal instability of a power-law viscoelastic nanofluid layer
Department of Mathematics, Babasaheb Bhimrao Ambedkar University, Lucknow, India
2 Department of Applied Sciences, SOET, BML Munjal University, Gurgaon, India
Accepted: 31 January 2021
Published online: 9 April 2021
The stability of the interface formed by a viscoelastic nanofluid and viscous incompressible fluid is examined here. The layout is taken in such a way that the viscoelastic nanofluid lies above the viscous fluid, and therefore, the interface experiences Rayleigh–Taylor type instability. The power-law viscoelastic liquid is considered for the linear stability analysis and the potential flow theory of viscous fluids is enforced to solve the mathematical equations. This theory includes the viscosity of the fluids in the analysis, while the flow is considering as irrotational. The stress balance equation at the interface contains normal viscous stresses and their difference is neutralized by interfacial tension. An algebraic equation of second degree is achieved and stability/instability is discussed based on the negative/positive roots of this equation. The response of flow parameters is studied by the various plots based on the growth rate parameter. It is found that the perturbation grows rapidly in the case of viscoelastic nanofluid when compared with the Newtonian nanofluid.
© The Author(s), under exclusive licence to EDP Sciences, Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021