Transient free convection in a vertical cylinder filled with granular product, open at the extremities and heated with uniform heat flux density - validity of the local thermal equilibrium hypothesis

In this paper, we present a theoretical study of flow and heat transfer by transient free convection in a vertical cylinder filled with granular product. The cylinder is opened at the extremities and heated with uniform heat flux density. Two models are used: two-temperatures model and one-temperatu...

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Bibliographic Details
Published in:International journal of heat and mass transfer 1997-01, Vol.40 (5), p.1155-1168
Main Authors: Ben Nasrallah, S, Amara, T, Du Peuty, MA
Format: Article
Language:eng ; fre
Subjects:
Computer simulation
Cylinders (containers)
Flow of fluids
Granular materials
Heat flux
Mathematical models
Thermal effects
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Summary:In this paper, we present a theoretical study of flow and heat transfer by transient free convection in a vertical cylinder filled with granular product. The cylinder is opened at the extremities and heated with uniform heat flux density. Two models are used: two-temperatures model and one-temperature model. The mathematical models are solved numerically by the method of finite domains. The numerical simulation has allowed us to determine the time-space evolution of temperatures and pressure. In order to test the validity of the one-temperature model and thus the validity of the local equilibrium hypothesis we have made two types of comparisons: comparison between local values of solid temperature and fluid temperature obtained by the two temperatures model: and comparison between the values obtained by the two models of outlet convected heat flux and outlet flow rate of fluid.
ISSN:0017-9310
DOI:10.1016/0017-9310(96)00114-7