Title: Analysis of transient and periodic convection in microchannels via integral transforms

Authors: Fernando V. Castelloes, Renato M. Cotta

Addresses: CENPES – Petrobras Research and Development Center, Cidade Universitaria, Qd.7 – sala 2204 Q – Ilha do Fundao, Rio de Janeiro, RJ, 21941-598, Brazil. ' Mechanical Engineering Dept., DEM/POLI & PEM/COPPE, UFRJ, Cx. Postal 68503, Universidade Federal do Rio de Janeiro, Rio de Janeiro, RJ, 21945-970, Brazil

Abstract: This work analyses internal transient forced convection in laminar regime for incompressible dynamically developed and thermally developing flow within parallel-plates microchannels, considering arbitrary variations in time for inlet temperature and/or velocity field. The formulation considers rarefaction effects existent in the slip-flow regime. The effects of axial conduction and viscous dissipation within the fluid are included. The solution is obtained using partial integral transformation strategy. The resulting system of transformed partial differential equations is numerically solved by the numerical Method of Lines. Particular emphasis is placed on results for periodic time disturbances of inlet temperature or of pressure gradient.

Keywords: microchannels; transient convection; periodic convection; integral transforms; slip flow; forced convection; symbolic computation; incompressible flow; axial conduction; viscous dissipation; inlet temperature; pressure gradient; heat transfer; laminar gas flow.

DOI: 10.1504/PCFD.2006.010772

Progress in Computational Fluid Dynamics, An International Journal, 2006 Vol.6 No.6, pp.321 - 326

Published online: 30 Aug 2006 *

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