Mathematical simulation of radial heat transfer in packed beds by pseudohomogeneous modeling--颗粒学报PARTICUOLOGY

Béttega, R., Moreira, M. F. P., Corrêa, R. G., & Freire, J. T. (2011). Mathematical simulation of radial heat transfer in packed beds by pseudohomogeneous modeling. Particuology, 9(2), 107-113. https://doi.org/10.1016/j.partic.2010.09.009

Mathematical simulation of radial heat transfer in packed beds by pseudohomogeneous modeling

Rodrigo Béttega ^a, Marcos Flávio Pinto Moreira ^b, Ronaldo Guimarães Corrêa ^c, José Teixeira Freire ^c *

a Federal University of Uberlândia/School of Chemical Engineering – Av. João Naves Ávila 2121, Uberlândia – MG, CEP 38400-902, Brazil
b Western Paraná State University – Rua da Faculdade 645, Jardim La Salle, Toledo – PR, CEP 85903-000, Brazil
c Federal University of São Carlos/Department of Chemical Engineering – Rod. Washington Luiz km 235, São Carlos – SP, CEP 13565-905, P.O. Box 676, Brazil

10.1016/j.partic.2010.09.009

Volume 9, Issue 2, April 2011, Pages 107-113

Received 13 August 2010, Accepted 23 September 2010, Available online 3 January 2011.

E-mail: freire@ufscar.br

Highlights

Abstract

Uniform flow regime and constant effective thermal conductivity inside packed beds are commonly accepted in the evaluation of the fluid dynamics and heat transfer in such systems. However, several authors have confirmed the presence of an oscillatory velocity profile caused by the effective contribution of porosity profile in the fluid dynamic behavior of packed beds, which directly influences the heat transfer inside the beds. This paper describes the application of a pseudo-homogeneous mathematical model for describing heat transfer in packed beds with oscillatory profiles of velocity and porosity, using a radius-dependent model for effective thermal conductivity k_r. Several temperature profiles were obtained in a packed bed system with thermal source located on the wall. The simulated temperature and effective thermal conductivity obtained from simulations were compared with experimental data and calculation from a model based on uniform k_r fitting. The results indicate that the proposed mathematical modeling was capable of better representing the heat transfer in the packed bed.

Graphical abstract

Keywords

Packed bed; Heat transfer; Pseudohomogeneous modeling

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