0
TECHNICAL PAPERS: Natural and Mixed Convection

Natural Convection in a Large, Inclined Channel With Asymmetric Heating and Surface Radiation

[+] Author and Article Information
J. Cadafalch, A. Oliva, G. van der Graaf, X. Albets

Centre Tecnològic de Transferència, de Calor (CTTC), Lab. de Termotècnia i Energètica, Universitat Politècnica de Catalunya (UPC), c/Colom 11, 08222 Terrassa, Spaine-mail: labtie@labtie.mmt.upc.es

J. Heat Transfer 125(5), 812-820 (Sep 23, 2003) (9 pages) doi:10.1115/1.1571845 History: Received July 17, 2002; Revised February 21, 2003; Online September 23, 2003
Copyright © 2003 by ASME
Your Session has timed out. Please sign back in to continue.

References

Bar-Cohen,  A., and Rohsenow,  W. M., 1984, “Thermally Optimum Spacing of Vertical, Natural Convection Cooled, Parallel Plates,” ASME J. Heat Transfer, 106, pp. 116–123.
Sparrow,  E. M., Chrysle,  G. M., and Azevedo,  L. F., 1984, “Observed Flow Reversals and Measured-Predicted Nusselt Numbers for Natural Convections in a One-Sided Heated Vertical Channel,” ASME J. Heat Transfer, 106, pp. 325–332.
Azevedo,  L. F., and Sparrow,  E. M., 1985, “Natural Convection in Open-Ended Inclined Channels,” ASME J. Heat Transfer, 107, pp. 893–901.
Cadafalch,  J., Pérez-Segarra,  C. D., Cònsul,  R., and Oliva,  A., 2002, “Verification of Finite Volume Computations on Steady State Fluid Flow and Heat Transfer,” ASME J. Fluids Eng., 124, pp. 11–21.
Roache,  P. J., 1994, “Perspective: A Method for Uniform Reporting of Grid Refinement Studies,” ASME J. Fluids Eng., 116, pp. 405–413.
Bejan, A., 1995, Convection Heat Transfer, second edition, Wiley, New York, p. 192.
Pérez-Segarra,  C. D., Oliva,  A., Costa,  M., and Escanes,  F., 1995, “Numerical Experiments in Turbulent Natural and Mixed Convection in Internal Flows,” Int. J. Numer. Methods Heat Fluid Flow, 5, pp. 13–33.
Gray,  D. D., and Giorgini,  A., 1975, “The Validity of the Boussinesq Approximation for Liquids and Gases,” Int. J. Heat Mass Transf., 19, pp. 545–551.
Gaskell,  P. H. , 1988, “Comparison of Two Solution Strategies for Use with Higher-Order Discretization Schemes in Fluid Flow Simulation,” Int. J. Numer. Methods Fluids, 8, pp. 1203–1215.
Marthur,  S. R., and Murthy,  J. Y., 1997, “Pressure Boundary Conditions for Incompressible Flow Using Unstructured Meshes,” Numer. Heat Transfer, Part B, 32, pp. 283–298.
Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, McGraw-Hill.
Van Doormal,  J. P., and Raithby,  G. D., 1984, “Enhancements of the Simple Method for Predicting Incompressible Fluid Flows,” Numer. Heat Transfer, 7, pp. 147–163.
Westerweel,  J., 1994, “Efficient Detection of Spurious Vectors in Particle Image Velocimetry,” Exp. Fluids, 16, pp. 236–247.
Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P., 1994, Numerical Recipes in C: The Art of Scientific Computing, second edition, Cambridge University Press, New York, pp. 412–420.

Figures

Grahic Jump Location
(a) Schematic of the problem. (b) Mesh and computational domain used in the numerical simulations. The mesh is expressed in terms of the parameter n. The solid triangles indicate that the mesh was concentrated near the walls.
Grahic Jump Location
Verification. (a) Evolution of the Nub in terms of the mesh parameter n. (b) Evolution of the Nub during the convergence procedure in terms of the number of iterations. A dotted line indicates that the convergence criterion is achieved.
Grahic Jump Location
Schematic of the setup. (a) General view. (b) Detail of the modules that make up the isothermal plate.
Grahic Jump Location
Results from the fitting process. (a) Nub in terms of (b/L)Rab cos θ and ε. Solid lines: heat transfer relation 10 for different values of emissivity of the plates ε. Dashed line: relation of Bar-Cohen and Rohsenow 1 for symmetric isothermal vertical plates using the Nub number as defined in Eq. 1 Dots: fitted data. (b) Relative errors between the fitted data and the heat transfer relation 10 in terms of (b/L)Rab cos θ.
Grahic Jump Location
Comparison of the u-velocity obtained from the experimental setup and from the numerical model for Tw=70°C and Ta=laboratory temperature. Top: map of differences in the four observation windows. Bottom: profiles at the central vertical section of each observation window. (Note:* means that the u-velocity is normalized by the reference velocity vref=[Lgβ(Tw−Ta)cos θ]1/2.)
Grahic Jump Location
Comparison of the u-velocity obtained from the experimental setup and from the numerical model for Tw=150°C and Ta=laboratory temperature. Top: map of differences in the four observation windows. Bottom: profiles at the central vertical section of each observation window. (Note: * means that the u-velocity is normalized by the reference velocity vref=[Lgβ(Tw−Ta)cos θ]1/2.)

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In