Abstract
Abstract A computational investigation of natural convection in an annulus is carried out. The lattice Boltzmann method is used to perform the simulations. The annulus is consisted by an outer elliptical cylinder and inner rectangular cylinder. The dimensions of outer cylinder are constant, but the configuration of inner rectangular cylinder is variable determined by an aspect ratio. The annulus is filled with CuO-water nanofluid. The KKL (Koo-Kleinstreuer-Li) model is used to estimate the dynamic viscosity, and the Brownian motion is taken account during the simulations. Hence, the effect of nanoparticle shape is considered in calculation of thermal conductivity. The special treatments for curved boundary condition for lattice Boltzmann method are employed. The Rayleigh number (10 3 6 ), nanoparticle concentration (0
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