Stability analysis of flow and heat transfer on a permeable moving plate in a co-flowing nanofluid

Abstract

In this paper, the stability analysis of the two-dimensional boundary layer flow and heat transfer of a copper (Cu)-water nanofluid past a permeable moving flat plate in the presence of a co-flowing fluid is theoretically investigated. The governing partial differential equations are first transformed into ordinary differential equations before they are solved numerically using bvp4c function in Matlab. The numerical results for the skin friction coefficient, the local Nusselt number and the local Sherwood number, as well as the velocity, temperature and nanoparticle volume fraction profiles are obtained, presented and discussed in detail for a range of various governing parameters. The numerical results indicate that dual solutions exist when the plate and the free stream move in the opposite directions. The time-dependent version of the problem is then considered to produce linearize eigenvalue problem which are then solved numerically using bvp4c function in Matlab. The stability analysis is carried out to show which branch solutions are stable and physically realizable.