Eventos Anais de eventos
ENCIT 2016
16th Brazilian Congress of Thermal Sciences and Engineering
A DETAILED THERMAL ANALYSIS FOR INTERNAL FLOW IN MICROCHANNELS UNDER SPECIFICS BOUNDARY CONDITIONS USING INTEGRAL TRANSFORMS TECHNIQUE FOR CONVECTION DIFFUSION EQUATION
Submission Author:
Marcos Curi , RJ
Co-Authors:
Filipe Oliveira da Silva, Allan Barbosa Geoffroy Motta
Presenter: Filipe Oliveira da Silva
doi://10.26678/ABCM.ENCIT2016.CIT2016-0201
Abstract
Motivated by the increasing development along the last decades and ongoing studies in microfluidics and his wide range of applications on engineering such as heat transfer optimization, the present work aims a study showing the behavior of heat transfer by convection through an internal flow in parallel plates micro channels. The two-dimensional steady state convection diffusion equation in primitive variables is studied under appropriate boundary conditions, such as prescribed temperature with and without the micro-scale effects to ensure corrects physical and practical conclusions, where velocity components are given as input data. The Classical Integral Transform Technique (CITT), is then applied in the hybrid numerical-analytical solution of the proposed formulation, as a technique for solving partial differential equations, by integral transforming the governing equation in one direction, preferably the variable belonging to the eigenvalue problem, the remaining ordinary differential equation depending on the other variable, is numerically calculate by computational routines. The theory is formalized and validated simulating laminar flow for different Knudsen numbers. Results for the temperature field are compared with benchmark and other numerical methods available in the literature with excellent agreement.
Keywords
Microfluidics, Heat transfer, microchannels, classical integral transform technique
