Eventos Anais de eventos
ENCIT 2018
Brazilian Congress of Thermal Sciences and Engineering
STREAM FUNCTION-VORTICITY FORMULATION APPLIED IN THE CONJUGATED HEAT PROBLEM USING THE FEM WITH UNSTRUCTURED MESH
Submission Author:
Luís Henrique Carnevale , RJ
Co-Authors:
Luís Henrique Carnevale , Gustavo Rabello dos Anjos, Norberto Mangiavacchi
Presenter: Luís Henrique Carnevale
doi://10.26678/ABCM.ENCIT2018.CIT18-0173
Abstract
Conjugated heat transfer problems have an extensive number of applications because a lot of times it is necessary to understand how heat convection in a fluid influences the temperature in solid regions. The stream function-vorticity formulation is a useful alternative to solving the Navier-Stokes equations in two dimensional domain. One of its major difficulties is the lack of boundary conditions for vorticity, and several schemes are proposed to satisfy such a condition. In his paper we propose a finite element scheme for solving the couple problem of the stream function-vorticity formulation using linear triangle elements. A possible application of the method is also demonstrated using the calculated velocity field from the formulation in the heat transport equation to study the temperature distribution in a incompressible single-phase fluid medium as a conjugate heat transfer problem. The results obtained were satisfactory when using low Reynolds number.
Keywords
Stream Function-Vorticity, Finite Element Method, Unstructured Mesh, Conjugated heat transfer
