Um Numerical simulation of thermofluidodynamics over isothermal cylinders in tandem using the immersed boundary method

Abstract

An Immersed Boundary Method (IBM) is development for the fluid-body interaction, being consider, in this work, the heat-transfer by forced convection and the onset turbulence in two-dimensional (2D) thermofluidodynamics around isothermal cylinders in tandem, immersed in incompressible Newtonian fluid. The fluid motion and temperature are defined on a Lagragian mesh. A Virtual Physical Model (VPM) is used for the diffusion of interfacial forces within the flow, guarantees the imposition of the no-slip boundary condition. This model dynamically evaluates, not only the forces that the fluid exerts on the solid surface, but the heat exchange between them. Therefore, this work presents the Navier-Stokes equations together with Energy equation, under physically appropriate boundary conditions. To calculate the onset turbulence viscosity was used the Smagorinsky Model (SM), implemented in the context of the Large Eddy Simulation Model (LESM). This work confirms that, downstream of the immersed bluff body, the recirculation: i) increases with the increase in the Reynolds numbers, keeping the Richardson numbers constant, and ii) decrease with the increase in the Richardson number, preserving the Reynolds number constant. It also confirms the generation of the thermal plumes moving upwards. The results are validated with previous numerical results, considering different Reynolds numbers.