The thermal entrance region in a porous medium saturated by a nanofluid: analysis of the Brinkman's model

32nd UIT (Italian Union of Thermo–fluid-dynamics) Heat Transfer Conference

物理学;力学

Di Schio, Eugenia Rossi^1

Alma Mater Studiorum-Università di Bologna, Department of Industrial Engineering, Viale Risorgimento 2, Bologna

40136, Italy^1

关键词: Boundary temperature;    Comsol multiphysics;    Concentration fields;    Galerkin finite element methods;    Homogeneous models;    Saturated porous medium;    Thermal behaviours;    Thermal entrance regions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/547/1/012022/pdf
DOI  :  10.1088/1742-6596/547/1/012022

学科分类：力学，机械学

来源: IOP

【 摘 要 】

The Darcy-Graetz problem for a channel filled by a nanofluid saturated porous medium is studied. The flow is assumed to be fully developed and described through Brinkman's model. For the model of the nanofluid, both thermophoresis and Brownian diffusion are taken into account. After an adiabatic preparation region, a boundary temperature linearly varying with the longitudinal coordinate is prescribed. A study of the thermal behaviour of the nanofluid is performed by solving numerically the fully-elliptic coupled equations, with reference both to the thermal entrance region and to the fully developed region. With reference to the fully developed region the solution has been obtained analytically, while for the thermal entrance region it has been obtained numerically, by a Galerkin finite element method implemented through the software package Comsol Multiphysics (