NDLI: Heat Transfer in Cavities Having a Fixed Amount of Solid Material

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Edimilson, J. Braga Marcelo, J. S. De Lemos
Copyright Year	2005
Abstract	This work compares two different approaches for obtaining numerical solutions for laminar natural convection within a square cavity, which is filled by a fixed amount of a solid conducting material. The first model considered, namely, porous-continuum model, is based on the assumption that the solid and the fluid phases are seen as the same medium, over which volume-averaged transport equations apply. Secondly, a continuum model is considered to solve the momentum equations for the fluid phase that would resemble a conjugate heat transfer problem in both the solid and the void space. In the continuum model, the solid phase is composed of square obstacles, equally spaced within the cavity. In both models, governing equations are numerically solved using the finite volume method. The average Nusselt number at the hot wall, obtained from the porous-continuum model, for several Darcy numbers, are compared with those obtained with the second approach, namely the continuum model, with different number of obstacles. When comparing the two methodologies, this study shows that the average Nusselt number calculated for each approach for the same Ram differs between each other and that this discrepancy increases as the Darcy number decreases, in the porous-continuum model, or the number of blocks increases and their size decreases, in the continuum model. A correlation is suggested to modify the macroscopic thermal expansion coefficient in order to match the average Nusselt numbers calculated by the two models for Ram = const = 104 and Da ranging from 1.2060×10−4 to 1.
Sponsorship	Heat Transfer Division and Electronic and Photonic Packaging Division
Starting Page	311
Ending Page	320
Page Count	10
File Format	PDF
ISBN	0791847314
DOI	10.1115/HT2005-72719
e-ISBN	0791837629
Volume Number	Heat Transfer: Volume 1
Conference Proceedings	ASME 2005 Summer Heat Transfer Conference collocated with the ASME 2005 Pacific Rim Technical Conference and Exhibition on Integration and Packaging of MEMS, NEMS, and Electronic Systems
Language	English
Publisher Date	2005-07-17
Publisher Place	San Francisco, California, USA
Access Restriction	Subscribed
Subject Keyword	Cavities Thermal expansion Fluids Momentum Natural convection Heat transfer Finite volume methods
Content Type	Text
Resource Type	Article

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