Abstract
Abstract In this paper, a numerical simulation on free convection flow and heat transfer in a symmetrical cone is carried out. The Multi-Relaxation-Time lattice Boltzmann method is utilized to simulate the flow and temperature fields. The cone is filled with TiO 2 -water nanofluid, and the dynamic viscosity and thermal conductivity of nanofluid are measured using modern devices including KD2 PRO thermal properties analyzer (Decagon devices, Inc., USA) and Brookfield viscometer of Brookfield engineering laboratories of USA, respectively. The experimental data are used in the numerical simulations to increase the reliability of the results. The radial coordinate is used into the temperature distribution function. As a result, only one source term is required for the present lattice Boltzmann model. On the other hand, the macro cylindrical energy equation is exactly recovered using Chapman–Enskog analysis. The flow structure, temperature distribution, heat transfer rate using average Nusselt number, second law analysis using local/volumetric entropy generation and Bejan number are provided.
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