Electrohydrodynamic instability in dielectric rotating Oldroydian nanofluid layer

Abstract

The influence of rheology on the initiation of thermal convection in a rotating nanofluid layer heated beneath with the inclusion of a vertical alternating current (AC) electric field is studied by employing linear stability analysis in which bounding surfaces are taken as stress-free. The stationary and oscillatory convective stability of the rheological nanofluid is customarily established utilizing the Buongiorno model for nanoparticles and the Oldroyd model for the rheological behaviour of the regular fluid. The Buongiorno model deployed for nanofluids incorporates the impact of thermophoresis and the Brownian motion. The eigen-value problem is solved for exact solutions analytically by using single term Galerkin technique and the expressions of the thermal Rayleigh number for the start of both stationary and oscillatory convection for both bottom-heavy and top-heavy nanoparticles configuration are obtained and are presented graphically.

Keywords

• Nanofluid
• Oldroyd model
• Taylor number
• Brownian motion
• electric field