Abo Bibliothek: Guest
Digitales Portal Digitale Bibliothek eBooks Zeitschriften Referenzen und Berichte Forschungssammlungen
Hybrid Methods in Engineering

ISSN Druckformat: 1099-2391
ISSN Online: 2641-7359

Archives: Volume 1, 1999 to Volume 4, 2002

Hybrid Methods in Engineering

DOI: 10.1615/HybMethEng.v3.i4.60
14 pages

INTEGRAL TRANSFORMS FOR HEAT AND FLUID FLOW IN TWO- AND THREE-DIMENSIONAL POROUS MEDIA

Renato M. Cotta
Laboratory of Nano- and Microfluidics and Microsystems, LabMEMS, Mechanical Engineering Department and Nanotechnology Engineering Dept., POLI & COPPE, Universidade Federal do Rio de Janeiro, Cidade Universitária, Cx. Postal 68503, Rio de Janeiro, RJ, CEP 21945-970, Brazil; Interdisciplinary Nucleus for Social Development—NIDES/CT, UFRJ, Brazil; Mechanical Engineering Department, University College London, UCL, United Kingdom
H. Luz Neto
Instituto Nacional de Tecnologia — INT, Rio de Janeiro, Brazil
Leonardo Alves
Departamento de Engenharia Mecânica - TEM Universidade Federal Fluminense - UFF
Joao N. N. Quaresma
School of Chemical Engineering, Universidade Federal do Para, FEQ/UFPA, Campus Universitario do Guama, 66075-110, Belem, PA, Brazil

ABSTRAKT

Hybrid numerical—analytical algorithms, based on the generalized integral transform technique, are developed and reviewed to handle transient two-and three-dimensional heat and fluid flow in cavities filled with a porous material. A general formulation and solution methodology for horizontal and vertical cavities is developed. To illustrate the algorithm computational behavior, specific situations are more closely considered, under the Darcy model for natural convection in porous medium filled cavities. The problem is analyzed with and without the time derivative term in the flow equations, using a vorticity-vector potential formulation, which automatically reduces to the stream-function-only formulation for two-dimensional situations. Results for rectangular (2-D) and parallelepiped (3-D) vertical cavities are presented to demonstrate the convergence behavior of the proposed eigenfunction expansion solutions, and comparisons with previously reported numerical solutions are critically performed.


Articles with similar content:

INTEGRAL TRANSFORM COMPUTATION OF COMPRESSIBLE BOUNDARY LAYERS
Hybrid Methods in Engineering, Vol.1, 1999, issue 2
Humberto Araujo Machado, Renato M. Cotta
ANALYSIS OF LIGHT-PULSE TRANSPORT THROUGH TWO-DIMENSIONAL SCATTERING AND ABSORBING MEDIA
ICHMT DIGITAL LIBRARY ONLINE, Vol.15, 2001, issue
Pei-Feng Hsu, M. Sakami, Kunal Mitra
A STUDY OF THE EFFECTS OF UNIFORM ENTRANCES ON THE BEHAVIOR OF A STRATIFIED FLOW OVER A BACKWARD-FACING STEP SOLVED BY THE INTEGRAL TRANSFORM TECHNIQUE
Hybrid Methods in Engineering, Vol.3, 2001, issue 2&3
Jesus Salvador Perez Guerrero, Rogerio Ramos
INTEGRAL TRANSFORMS FOR TRANSIENT THREE-DIMENSIONAL HEAT CONDUCTION IN HETEROGENEOUS MEDIA WITH MULTIPLE GEOMETRIES AND MATERIALS
International Heat Transfer Conference 16, Vol.6, 2018, issue
Anderson P. Almeida, Carolina Palma Naveira-Cotta, Renato M. Cotta
Unified Integral Transforms in Single Domain Formulation for Internal Flow Three-Dimensional Conjugated Problems
International Heat Transfer Conference 15, Vol.36, 2014, issue
Diego C. Knupp, Carolina Palma Naveira-Cotta, Renato M. Cotta