Linear stability analysis of asymmetrically heated hybrid nanofluid with variable viscosity and thermal conductivity
Srinivasa Ramanujan Department of Mathematics, Central University of Himachal Pradesh, Shahpur Campus, 176206, Shahpur, India
2 Department of Mathematics, Bioinformatics and Computer Applications, Maulana Azad National Institute of Technology, 462003, Bhopal, India
3 Department of Mathematics, University of Central Florida, 32186, Orlando, FL, USA
Accepted: 18 November 2022
Published online: 3 December 2022
The present study aims to examine the impact of varying thermal conductivity and viscosity on the stability of a hybrid nanofluid saturated in an asymmetrically heated channel. The thermal conductivity and viscosity of the hybrid nanofluid are assumed to change with the temperature. Magnetic field, viscous dissipation and Joule heating effects are also included in the mathematical model. Optimal homotopy asymptotic method is adopted to analytically tackle the highly nonlinear coupled equations of the basic state flow. Normal mode analysis is performed on the perturbed flow to determine the flow stability. The Chebyshev pseudospectral collocation approach incorporating QZ-algorithm is used to resolve the generalized eigenvalue problem. The region of stability is determined by the size of the convection cells in -plane. This study is mainly focused on the three different selections of Cu and nanoparticle volume fractions: 0.03–0.07, 0.05–0.05 and 0.07–0.03, and are, respectively, called as HNF, HNF and HNF. The comparative analysis reveals that the HNF maintains a larger stable region than HNF and HNF. The flow instability is raised with greater values of variable viscosity () and thermal conductivity (), whereas the Hartmann number (M) obeys a stabilizing effect on the hybrid nanofluid.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.