Control volume based finite element method (CVFEM) is applied to investigate flow and heat transfer of
CuO–water nanofluid in presence of magnetic field. The enclosure has a sinusoidal wall under constant
heat flux. The effective thermal conductivity and viscosity of nanofluid are calculated by KKL (Koo–
Kleinstreuer–Li) correlation. In this model effect of Brownian motion on the effective thermal
conductivity is considered. The numerical investigations are conducted at a fixed Prandtl number equal
to 6.2. Various values of non-dimensional governing parameters such as volume fraction of nanoparticles
(f), Rayleigh number (Ra), dimensionless amplitude of the sinusoidal wall (a) and Hartmann number
(Ha) are examined. Also a correlation of Nusselt number corresponding to active parameters is
presented. The results show that Nusselt number is an increasing function of nanoparticles volume
fraction, dimensionless amplitude of the sinusoidal wall and Rayleigh number while it is a decreasing
function of Hartmann number
