This paper presents the fractional step algorithm using haracteristic Based Split (CBS) in ALE framework for the numerical simulation of unsteady laminar free convection heat transfer from an oscillating array of isothermal circular cylinders. The variations of flow and thermal fields are classified into a class of moving boundary problems. The moving interfaces between the fluid and cylinders have been considered. Governing equations consisting of continuity, momentum, and energy equations were solved numerically by finite element method and arbitrary Lagrangian-Eulerian kinematics description. The effects of cylinder spacing, Rayleigh number, and frequency of oscillations on the flow structures and heat transfer in the array were investigated. The results show that increments of amplitude of vibrations and Rayleigh number increase the average Nusselt number of each cylinder.
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