Non-Darcian Convection in Cylindrical Packed Beds

Non-Darcian transport describes the nonuniform flow and thermal anomalies often found in flow through packed beds. These effects include the high-flow-rate inertial pressure loss, near-wall porosity variation, solid-boundary shear, and thermal dispersion. Inclusion of these effects significantly alt...

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Bibliographic Details
Published in:Journal of heat transfer 1988-05, Vol.110 (2), p.378-384
Main Authors: Hunt, M. L, Tien, C. L
Format: Article
Language:English
Subjects:
320303 - Energy Conservation, Consumption, & Utilization- Industrial & Agricultural Processes- Equipment & Processes
420400 - Engineering- Heat Transfer & Fluid Flow
CHEMICAL REACTORS
CONVECTION
CYLINDERS
ENERGY CONSERVATION, CONSUMPTION, AND UTILIZATION
ENERGY TRANSFER
ENGINEERING
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
HEAT FLUX
HEAT TRANSFER
MASS TRANSFER
MATHEMATICAL MODELS
MOMENTUM TRANSFER
Nonhomogeneous flows
PACKED BED
Physics
VELOCITY
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Summary:Non-Darcian transport describes the nonuniform flow and thermal anomalies often found in flow through packed beds. These effects include the high-flow-rate inertial pressure loss, near-wall porosity variation, solid-boundary shear, and thermal dispersion. Inclusion of these effects significantly alters the velocity and temperature profiles from those predicted by models using uniform or Darcian flow. In this paper, the non-Darcian formulation is used to predict the heat transfer rates for cylindrical packed beds such as chemical reactors. Traditional analyses of chemical reactors assume slug flow and must include a temperature-slip boundary condition to predict the measured temperature profiles. The present analysis predicts similar temperature variations by allowing the velocity and diffusivity to vary across the bed. The results agree with experimental data for chemical reactors and do not depend on the extensive experimental relations needed in conventional reactor models.
ISSN:0022-1481
1528-8943
DOI:10.1115/1.3250495