Two- and three-dimensional natural and mixed convection simulation using modular zonal models in buildings

We demonstrate the use of the zonal model approach, which is a simplified method for calculating natural and mixed convection in rooms. Zonal models use a coarse grid and use balance equations, state equations, hydrostatic pressure drop equations and power law equations of the form m=CΔPn. The advantages of the zonal approach and its modular implementation are discussed. The zonal model resolution of nonlinear equation systems is demonstrated for three cases: a 2-D room, a 3-D room and a pair of 3-D rooms separated by a partition with an opening. A sensitivity analysis with respect to physical parameters and grid coarseness is presented. Results are compared to computational fluid dynamics (CPD) calculations and experimental data.

[1]  A. Kulkarni,et al.  Similarity solution for natural convection flow over an isothermal vertical wall immersed in thermally stratified medium , 1987 .

[2]  Joseph Andrew Clarke,et al.  A simulation approach to the evaluation of coupled heat and mass transfer in buildings , 1991 .

[3]  R. Eichhorn,et al.  Natural Convection From a Vertical Surface to a Thermally Stratified Fluid , 1976 .

[4]  C. L. Tien,et al.  High Rayleigh number convection in shallow enclosures with different end temperatures , 1981 .

[5]  F. C. Winkelmann,et al.  Recent Improvements in Spark: Strong Component Decomposition, Multivalued Objects and Graphical Interface , 1993 .

[6]  K. Pericleous,et al.  Laminar and turbulent natural convection in an enclosed cavity , 1984 .

[7]  Jeffrey L. Anderson.  A NETWORK DEFINITION AND SOLUTION OF SIMULATION PROBLEMS , 1987 .

[8]  M. Konopasek,et al.  Constraint and declarative languages for engineering applications: The TK!Solver contribution , 1985, Proceedings of the IEEE.

[9]  F. C. Winkelmann,et al.  Symbolic modeling in building energy simulation , 1994 .

[10]  Jean-Michel Nataf,et al.  Algorithm of simplification of nonlinear equations systems , 1992, SIGS.

[11]  Jlm Jan Hensen,et al.  Air and heat flow through large vertical openings , 1993 .

[12]  Feustel H.E,et al.  The COMIS Infiltration Model , 1989 .

[13]  Frederick C. Winkelmann,et al.  Development of a Model to Simulate the Performance of Hydronic Radiant Cooling Ceilings , 1995 .

[14]  A. Bejan.  Convection Heat Transfer , 1984 .

[15]  Enrico Nobile,et al.  Scale models and CFD for the analysis of air flow in passively ventilated buildings , 1991 .

[16]  G. D. Davis.  Natural convection of air in a square cavity: A bench mark numerical solution , 1983 .

[17]  J A Clarke,et al.  The implementation of a computational fluid dynamics algorithm within the ESP-r system , 2000 .

[18]  A. T. Howarth,et al.  The prediction of air temperature variations in naturally ventilated rooms with convective heating , 1985 .