The Stokes’ second problem for nanofluids

Abstract

In this paper, a nanofluid version of the Stokes’ second problem is investigated. For this purpose, a homogeneous model is considered with nano-sized Cu particles suspended in water. The governing equations are first transformed in dimensionless form and then solved by Laplace transform. Exact solutions corresponding to the dimensionless velocity and temperature due to both cosine and sine oscillations of an infinite flat plate are presented. It is concluded that both skin friction coefficient and density of nanofluids increases with an increase of nanoparticles volume fraction. Also the dimensionless temperature increases by increasing the Eckert number and solid volume fraction of nanoparticles. Keywords: Nanofluids, Stokes’s second problem, Oscillatory boundary layer