### Mathematical modeling and two-dimensional analysis of thermo-fluid dynamics around heated rotating cylinders with heat transfer by forced convection to low Reynolds numbers / Modelagem Matemática e Análise Bidimensional da Termofluidodinâmica em torno de Cilindros Rotativos Aquecidos com Tranferência de Calor por Convecção Forçada para Baixos Números de Reynolds

#### Abstract

In this present work is employed the Immersed Boundary Method coupled to Virtual Physical Model (IBM/VPM) for the two-dimensional analysis thermo-fluid dynamic and numerical simulations of incompressible flows. The heated stationary and rotating cylinders with forced convection use the Navier-Stokes equations, to know, mass conservation, momentum and energy to modeling the physical problem. The calculation of the forces exerted on the cylinder is realized using the VPM, which is based on conservation equations of linear momentum and energy. The numerical simulation of the fluid temperature at each instant of time, determined through auxiliary points distributed in Cartesian coordinates. The motivation is contributing with the computational implementation of the methodology mentioned using code developed in C++ for an experimental and numerical analysis, imposing different rates of rotation, comparing with an experimental results. Few are the studies about the thermal effects in combination with the aerodynamic coefficients and dimensionless numbers, for example, Strouhal, Nusselt, Péclet and Reynolds. The results obtained prove the efficiency of the method.

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DOI: https://doi.org/10.34117/bjdv6n10-221

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