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DOI: 10.1615/HeatTransRes.v41.i3.20
pages 209-231

Experiments and Simulations in Transient Conjugated Conduction-Convection-Radiation

Carolina Palma Naveira-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; Mechanical Engineering Department, University College London, UCL, United Kingdom
Mohammed Lachi
University of Reims Champagne-Ardenne GRESPI / Faculté des Sciences PB1039, 51687 Reims, France
Mourad Rebay
University of Reims Champagne-Ardenne GRESPI / Faculte des Sciences PB 1039, 51687 Reims, France
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

ABSTRACT

Experimental results and hybrid numerical-analytical simulations are critically compared for transient laminar forced convection over flat plates of non-negligible thickness, subjected to an applied wall heat flux at the fluid-solid wall interface. A conjugated conduction-convection-radiation problem is first formulated and then simplified through the employment of the Coupled Integral Equations Approach (CIEA) to reformulate the heat conduction problem on the plate by averaging the related energy equation in the transversal direction. A partial differential formulation for the transversally averaged wall temperature is obtained, and the boundary condition for the fluid in the heat balance at the solid-fluid interface is then rewritten. The coupled partial differential equations within the thermal boundary layer are handled by the Generalized Integral Transform Technique (GITT) under its partial transformation mode, combined with the method of lines implemented in the Mathematica 7.0 routine NDSolve. For the experiments, an apparatus was employed involving an air blower and flash lamps that heat a vertical PVC plate of 33 cm in length and 12 mm in thickness, while the temperature at the surface exposed to the cooling air is measured by infrared thermography. Thermocouple measurements are also utilized to provide estimates of heat losses at the back surface of the plate. The transient evolution of the measured surface temperatures along the plate length are then critically compared against the simulation results in order to verify the proposed model.


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