MATHEMATICAL MODELING AND BIDIMENSIONAL SIMULATION OF THE NAVIER-STOKES EQUATIONS FOR TURBULENT FLOW IN INCOMPRESSIBLE NEWTONIAN FLUIDS AROUND ISOTHERMAL GEOMETRIES

• DOI: 10.22533/at.ed.1022010121

• Palavras-chave: ATENA

• Keywords: Immersed Boundary Method, Mixed Convection, Laminar and Turbulent Flow.

• Abstract:

  An immersed boundary method is development for the fluid-body

  interaction, being consider the heat-transfer for the onset turbulence in two-

  dimensional (2D) thermofluid dynamics around isothermal complex geometries

  immersed in incompressible Newtonian flows. The fluid motion and temperature

  are defined on a fixed Eulerian grid, while the immersed body is defined on a

  Lagrangian grid. A virtual physical model 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 force that the fluid

  exerts on the solid surface, but the heat exchange between them. Therefore,

  this work presents the Navier-Stokes equations, together with the energy

  equation, under physically appropriate boundary conditions. To calculate the

  turbulence viscosity, two models where used, to know, the Smagorinsky model,

  implemented in the context of the Large Eddy Simulation (LES) model, and

  Spalart-Allmaras model, based on Unsteady Reynolds Average Navier-Stokes

  Equation (URANS). For all simulations, a computational code was developed to

  calculate different dimensionless numbers, such as, lift and drag coefficients,

  Nusselt, Strouhal numbers, among other. The results are compared with

  previous numerical results, considering different Reynolds numbers.

• Número de páginas: 23