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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 59, 2011 - Issue 5
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Original Articles

Three-Dimensional Mixed Convection Heat and Mass Transfer in a Rectangular Duct: Case of Longitudinal Rolls

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Pages 349-371 | Received 11 Aug 2010, Accepted 24 Nov 2010, Published online: 25 Feb 2011

REFERENCES

  • M. Hasnaoui , E. Bilgen , P. Vasseur , and L. Robillard , Mixed Convective Heat Transfer in a Horizontal Channel Heated Periodically from Below , Num. Heat Transfer A , vol. 20 , pp. 297 – 315 , 1991 .
  • S. Q. Zhang and A. V. Tangborn , Flow Regimes in Two-Dimensional Mixed Convection with Spatially Periodic Lower Wall Heating , Phys. Fluids , vol. 6 , pp. 3285 – 3293 , 1994 .
  • N. K. Ingle and T. J. Mountziaris , The Onset of Transverse Recirculations During Flow of Gases in Horizontal Ducts with Diferentially Heated Lower Walls , J. Fluid Mech. , vol. 277 , pp. 249 – 269 , 1994 .
  • X. Nicolas , A. Benzaoui , and S. Xin , Numerical Simulation Of Thermoconvective Flows And More Uniform Depositions in a Cold Wall Rectangular APCVD Reactor , J. Crystal Growth , vol. 310 , pp. 174 – 186 , 2008 .
  • P. Talukdar , S. O. Olutmayin , O. F. Osanyintola , and C. J. Simonson , An Experimental Data Set for Benchmarking 1-D, Transient Heat, and Moisture Transfer Models of Porous Building Materials, Part I. Experimental Facility and Material Property Data , Int. J. Heat Mass Transfer , vol. 50 , pp. 4527 – 4539 , 2007 .
  • P. Talukdar , O. F. Osanyintola , S. O. Olutmayin , and C. J. Simonson , An Experimental Data Set for Benchmarking 1-D, Transient Heat, and Moisture Transfer Models of Porous Building Materials, Part II. Experimental, Numerical and Analytical Data , Int. J. Heat Mass Transfer , vol. 50 , pp. 4915 – 4926 , 2007 .
  • G. Luo , S. P. Vanka , and N. Glumac , Fluid Flow And Transport Processes in a Large Area Atmospheric Pressure Stagnation Flow CVD Reactor for Deposition of Thin Films , Int. J. Heat and Mass Transfer , vol. 47 , pp. 4979 – 4994 , 2004 .
  • D. Brunt , Experimental Cloud Formation , Compendium of Meteorology , American Meteorological Society , Boston , 1951 .
  • X. Nicolas , Bibliographical Review on the PRB Flows , Int. J. Thermal Science , vol. 41 , pp. 961 – 1016 , 2002 .
  • W. Velte , Zür Stabilität der Strömung in einem horizontalen Rohr bei ungleichmässig erwärter Wand , Z. Angew. Math. Phys. , vol. 13 , pp. 591 – 600 , 1962 . (In German)
  • R. Sani , Note on Flow Instabilities in Heated Ducts , Z. Angew. Math. Phys. , vol. 15 , pp. 381 – 387 , 1964 .
  • Y. Mori and Y. Uchida , Forced Convective Heat Transfer between Horizontal Flat Plates , Int. J. Heat Mass Transfer , vol. 9 , pp. 803 – 817 , 1966 .
  • J. K. Platten and M. Lefebvre , A Preliminary Experimental Investigation of the Stability of Flows with an Imposed Temperature Gradient , Phys. , vol. 51 , pp. 330 – 332 , 1971 .
  • J. M. Luijkx , J. K. Platten , and J. C. Legros , On the Existence of Thermoconvective Rolls, Transverse to a Superimposed Mean Poiseuille Flow , Int. J. Heat Mass Transfer , vol. 24 , pp. 803 – 817 , 1981 .
  • X. Nicolas , J. M. Luijkx , and J. K. Platten , Linear Stability of Mixed Convection Flows in Horizontal Rectangular Channels of Finite Transversal Extension Heated from Below , Int. J. Heat Mass Transfer , vol. 43 , pp. 589 – 610 , 2000 .
  • Y. Kato and K. Fujimura , Prediction of Pattern Selection due to an Interaction between Longitudinal Rolls and Transverse Modes in a Flow through a Rectangular Channel Heated from Below , Phys. Rev. E , vol. 62 , pp. 601 – 611 , 2000 .
  • J. Shahda and U. Narusawa , On Pattern Selection in Mixed Convection in Rectangular Ducts , Int. J. Heat Mass Transfer , vol. 32 , pp. 213 – 222 , 1997 .
  • S. W. Chen , D. S. Shu , J. T. Lir , and T. F. Lin , Buoyancy Driven Vortex Flow and its Stability in Mixed Convection of Air through a Blocked Horizontal Flat Duct Heated from Below , Int. J. Heat Mass Transfer , vol. 49 , pp. 3655 – 3669 , 2006 .
  • D. A. Nield and A. Bejan , Convection in Porous Media, , 3rd ed., Springer , New York , 2006.
  • U. H. Kurtzweg , Convective Instability of a Hydrodynamic Fluid within a Rectangular Cavity , Int. J. Heat Mass Transfer , vol. 8 , pp. 35 – 41 , 1965 .
  • J. M. Luijkx and J. K. Platten , On the Onset of Free Convection in a Rectangular Channel , J. Non-Equilibrium Thermodynamic , vol. 6 , pp. 141 – 158 , 1981 .
  • M. Y. Chang , C. H. Yu , and T. F. Lin , Changes of Longitudinal Vortex Roll Structure in a Mixed Convective Airflow through a Horizontal Plane Channel: An Experimental Study , Int. J. Heat Mass Transfer , vol. 40 , pp. 347 – 363 , 1997 .
  • M. Y. Chang and T. F. Lin , Experimental Study of Aspect Ratio Effects on Longitudinal Vortex Flow in Mixed Convection of Air in a Horizontal Rectangular Duct , Int. J. Heat Mass Transfer , vol. 41 , pp. 719 – 733 , 1998 .
  • K. C. Chiu , and F. Rosenberger , Mixed Convection between Horizontal Plates, 1. Entrance Effects , Int. J. Heat Mass Transfer , vol. 30 , pp. 1645 – 1654 , 1987 .
  • U. Narusawa , Numerical Analysis of Mixed Convection at the Entrance Region of a Rectangular Duct Heated from Below , Int. J. Heat Mass Transfer , vol. 36 , pp. 2375 – 2384 , 1993 .
  • P. Talukdar , C. R. Iskra , and C. J. Simonson , Combined Heat and Mass Transfer for Laminar Flow of Moist Air in a 3-D Rectangular Duct: CFD Simulation and Validation with Experimental Data , Int. J. Heat Mass Transfer , vol. 51 , pp. 3091 – 3102 , 2008 .
  • J. N. Lin and F. C. Chou , Laminar Mixed Convection in the Thermal Entrance Region of Horizontal Isothermal Rectangular Channels , Can. J. Chem. Eng. , vol. 67 , pp. 361 – 367 , 1989 .
  • J. N. Lin , F. C. Chou , and P. Y. Tzeng , Theoretical Prediction of the Onset of Thermal Entrance Region of Horizontal Rectangular Channels , Int. J. Heat Fluid Flow , vol. 12 , pp. 218 – 224 , 1991 .
  • H. Ben Hamed , R. Bennacer , and H. Sammouda , Poiseuille Rayleigh-Benard Problem in a Horizontal Duct of Finite Length in Streamwise Direction: Stability Analysis , Int. J. Progress in Computational Fluid Dynamics , vol. 8 , pp. 342 – 350 , 2008 .
  • A. Benderradji , A. Haddad , R. Taher , M. Médale , C. Abid , and F. Papini , Characterization of Fluid Flow Patterns and Heat Transfer in Horizontal Channel Mixed Convection , Int. J. Heat Mass Transfer , vol. 44 , pp. 1465 – 1476 , 2008 .
  • H. V. Mahney , F. P. Incropera , and S. Ramadhyani , Development of Laminar Mixed Convection Flow in a Horizontal Rectangular Duct with Uniform Bottom Heating , Numer. Heat Transfer, Part A , vol. 12 , pp. 137 – 155 , 1987 .
  • J. N. Lin and F. C. Chou , Laminar Mixed Convection in the Thermal Entrance Region of Horizontal Isothermal Rectangular Channels , Can. J. Chem. Eng. , vol. 67 , pp. 361 – 367 , 1989 .
  • J. N. Lin , F. C. Chou , and P. Y. Tzeng , Theoretical Prediction of the Onset of Thermal Instability in the Thermal Entrance Region of Horizontal Rectangular Channels , Int. J. Heat Fluid Flow , vol. 12 , pp. 218 – 224 , 1991 .
  • A. Kaya , O. Aydin , and I. Dincer , Numerical Modeling of Heat and Mass Transfer during Forced Convection Drying of Rectangular Moist Objects , Int. J. Heat Mass Transfer , vol. 49 , pp. 3094 – 3103 , 2006 .
  • C. R. Iskra and C. J. Simonson , Convective Mass Transfer Coefficient for a Hydrodynamically Developed Airflow in a Short Rectangular Duct , Int. J. Heat Mass Transfer , vol. 50 , pp. 2376 – 2393 , 2007 .
  • J. N. Lin , F. C. Chou , W. M. Yan , and P. Y. Tzeng , Combined Buoyancy Effects of Thermal and Mass Diffusion on Laminar Forced Convection in the Thermal Entrance Region of Horizontal Square Channels , Can. J. Chem. Eng. , vol. 79 , pp. 681 – 689 , 1992 .
  • W. M. Yan , Combined Buoyancy Effects of Thermal and Mass Diffusion on Laminar Forced Convectionin Horizontal Rectangular Ducts, Int J. Heat Mass Transfer , vol. 39, no. 7, pp. 1479–1488, 1996.
  • W. M. Yan , Mixed Convection Heat And Mass Transfer In Inclined Rectangular Ducts , Int J. Heat Mass Transfer , vol. 37 , no. 13 , pp. 1857 – 1866 , 1994 .
  • W. M. Yan , Transport Phenomena of Developing Laminar Mixed Convection Heat and Mass Transfer in Inclined Rectangular Ducts , Int J. Heat Mass Transfer , vol. 38 , no. 15 , pp. 2905 – 2914 , 1995 .
  • C. H. Yu , M. Y. Chang , and T. F. Lin , Structures of Moving Transverse and Mixed Rolls in Mixed Convection of Air in a Horizontal Plane Channel , Int. J. Hear Mass Transfer , vol. 40 , pp. 333 – 346 , 1997 .
  • T. C. Papanastasiou , N. Malamataris , and K. Ellwood , A New Outflow Boundary Conditions , Int. J. Num Meth Fluids , vol. 14 , pp. 587 – 608 , 1992 .
  • A. Benzaoui , X. Nicolas , and S. Xin , Efficient Vectorized Finite Difference Method to Solve the Incompressible Navier-Stokes Equations for 3-D Mixed Convection Flows in High Aspect Ratio Channels , Numer. Heat Transfer B , vol. 48 , pp. 277 – 302 , 2005 .
  • B. P. Leonard and S. Mokhtari , Beyond First Order Upwinding: The ULTRA-SHAP Alternative for Non-Oscillatory Steady-State Simulation of Convection , Int. J. Numer. Methods Eng. , vol. 30 , pp. 729 – 766 , 1990 .
  • S. V. Patankar , Numerical Heat Transfer and Fluid Flow , Mc Graw-Hill , New York , 1980 .
  • H. L. Stone , Iterative Solution of Implicit Approximations of Multi-Dimensional Partial Differential Equations , SIAM J. Numer. Analysis , vol. 5 , pp. 530 – 558 , 1968 .
  • H. A. Van der Vorst , BICGSTAB: A Fast, and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear System , SIAM J. Sci. Statist. Comput. , vol. 13 , pp. 631 – 644 , 1992 .
  • M. Hortmann , M. Peric , and G. Scheuerer , Finite Volume Multigrid Prediction of Laminar Natural Convection: Benchmark Solutions , Int. J. Numer. Methods in Fluids , vol. 11 , pp. 189 – 207 , 1990 .
  • J. Ravnik , L. Škerget , and Z. Žunič , Velocity–Vorticity Formulation for 3-D Natural Convection in an Inclined Enclosure by BEM , Int. J. Hear Mass Transfer , vol. 51 , pp. 4517 – 4527 , 2008 .
  • R. Bennacer , A. A. Mohammed , and I. Sezai , Transient Natural Convection in Air-Filled Cubical Cavityon Vection in Exercise , ICHMT 2nd Int. Symp. on Adv. in Comp. Heat Transfer , Australia , p. 1383 , 2001 .
  • R. Mossad , Prediction of Natural Convection in an Air-Filled Cubical Cavity using FLUENT Software , ICHMT 2nd Int. Symp. on Adv. in Comp. Heat Transfer , Australia , p. 1371 , 2001 .
  • E. Krepper , Natural Convection in an Air-Filled Cubical Cavity , ICHMT 2nd Int. Symp. on Adv. in Comp. Heat Transfer , Australia , p. 1351 , 2001 .

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