Result: Transient analysis of slip flow and heat transfer in microchannels

Title:
Transient analysis of slip flow and heat transfer in microchannels
Authors:
CASTELLOES, F. V, CARDOSO, C. R, COUTO, P, COTTA, R. M
Source:
Selected papers presented at the 10th Brazilian Congress of Thermal Sciences and Engineering (ENCIT 2004), November 29- December 3, 2004, Rio de Janeiro, BrazilHeat transfer engineering. 28(6):549-558
Publisher Information:
Philadelphia, PA: Taylor & Francis, 2007.
Publication Year:
2007
Physical Description:
print, 29 ref
Original Material:
INIST-CNRS
Subject Terms:
Energy, Énergie, Mechanical engineering, Génie mécanique, Mechanics acoustics, Mécanique et acoustique, Sciences exactes et technologie, Exact sciences and technology, Physique, Physics, Domaines classiques de la physique (y compris les applications), Fundamental areas of phenomenology (including applications), Mécanique des fluides, Fluid dynamics, Mécanique des fluides appliquée, Applied fluid mechanics, Fluidique, Fluidics, Sciences appliquees, Applied sciences, Electronique, Electronics, Electronique des semiconducteurs. Microélectronique. Optoélectronique. Dispositifs à l'état solide, Semiconductor electronics. Microelectronics. Optoelectronics. Solid state devices, Dispositifs micro- et nanoélectromécaniques (mems/nems), Micro- and nanoelectromechanical devices (mems/nems), Convection forcée, Forced convection, Dispositif microélectromécanique, Microelectromechanical device, Dispositivo microelectromecánico, Distribution vitesse, Velocity distribution, Ecoulement conduite, Pipe flow, Ecoulement glissant, Slip flow, Microfluidique, Microfluidics, Microstructure, Nombre Knudsen, Knudsen number, Número Knudsen, Nombre Nusselt, Nusselt number, Phénomène transitoire, Transients, Simulation numérique, Digital simulation, Solution analytique, Analytical solution, Transfert chaleur, Heat transfer, 4785N
Time:
8585
Document Type:
Conference Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Petrobras R&D Center, CENPES, Rio de Janeiro, Brazil
Mechanical Engineering Department, Rice University, Houston, Texas, United States
Mechanical Engineering Department, Universidade Federal do Rio de Janeiro, POLI & COPPE/UFRJ, Rio de Janeiro, Brazil
ISSN:
0145-7632
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=18888142
Rights:
Copyright 2007 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Electronics

Physics: fluid mechanics
Accession Number:
edscal.18888142
Database:
PASCAL Archive

Further Information

Hybrid analytical-numerical solutions for transient flow and transient convective heat transfer within microchannels are presented. Analytical solutions for flow transients in microchannels are obtained by making use of the integral transform approach. The proposed model involves the transient fully developed flow equation for laminar regime and incompressible flow with slip at the walls in simple channel geometries. The solution is constructed so as to account for any general functional form of the time variation of the pressure gradient along the duct. Then, the transient-state convection heat transfer is solved for laminar slip flow inside microchannels formed by parallel-plates, making use of the generalized integral transform technique (GITT) and the exact analytical solution of the corresponding eigenvalue problem in terms of confluent hypergeometric functions so as to eliminate the transversal coordinate. The resulting system of transformed partial differential equations in the longitudinal coordinate is numerically solved by the Method of Lines as implemented in the routine NDSolve of the Mathematica system. Mixed symbolic-numerical algorithms are developed under the Mathematica platform.