Mathematical Modeling of Air Pressure in a Drainage Stack of a High-Rise Building Test Platform
Publication: Journal of Architectural Engineering
Volume 20, Issue 1
Abstract
The air pressure in a drainage stack of a high-rise building test platform (HBTP) is mathematically modeled by unsteady one-dimensional () partial differential equations, in which an additional term is introduced to reflect the gas-liquid interphase interaction, the stack top-base effect. This model is crucial for understanding the characteristics of air pressure variation, which is significant for the recognition of the HBTP’s operational performance. A time-splitting based characteristic line method is used to solve the type governing equations, with the model parameters being calibrated by the measured data obtained on the HBTP. It is concluded that the generally used Saint-Venant equations should be extended appropriately so that the stack air pressure can be satisfactorily predicted.
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Acknowledgments
The work is financially supported from Natural Science Foundation of China (Grant No.10972212) and partially supported from the Building Services Engineering Unit and the Automation Unit of Industrial Center in PolyU of Hong Kong. The authors thank Senior Engineer Mrs. L. Zhang in the China National Engineering Research Center for Human Settlements for some useful private communications and the anonymous referees for helpful suggestions.
References
Abarbanel, S., and Gottlieb, D. (1981). “Optimal time splitting for two- and three-dimensional navier-stokes equations with mixed derivatives.” J. Comput. Phys., 41(1), 1–33.
Davis, S. F. (1988). “Simplified second-order godunov-type methods.” J. Sci. Stat. Comput., 9(3), 445–473.
Gormley, M. (2007). “Air pressure generation as a result of falling solids in building drainage stacks: Definition, mechanisms and modelling.” Build. Serv. Eng. Res. Technol., 28(1), 55–70.
Karniadakis, G. E., Israeli, M., and Orszag, S. A. (1991). “Numerical modelling of air pressure transient propagation in building drainage vent systems, including the influence of mechanical boundary conditions.” J. Comput. Phys., 97(2), 414–443.
Kelly, D. A., Swaffield, J. A., Jack, L. B., Campbell, D. P., and Gormley, M. (2008). “Control and suppression of air pressure transients in building drainage and vent systems.” Build. Serv. Eng. Res. Technol., 29(2), 165–181.
McDougall, J. A., and Swaffield, J. A. (2000). “Simulation of building drainage system operation under water conservation design criteria.” Build. Serv. Eng. Res. Technol., 21(1), 41–51.
Roe, P. C. (1981). “Approximate Riemann solvers, parameter vectors, and difference schemes.” J. Comput. Phys., 43(2), 357–372.
Swaffield, J. A. (1996). “Simulation of building drainage flows, waste solid transport and vent system transients.” Build. Serv. Eng. Res. Technol., 17(2), B4–B8.
Swaffield, J. A., and Campbell, D. P. (1992a). “Air pressure transient propagation in building drainage vent systems, an application of unsteady flow analysis.” Build. Environ., 27(3), 357–365.
Swaffield, J. A., and Campbell, D. P. (1992b). “Numerical modelling of air pressure transient propagation in building drainage vent systems, including the influence of mechanical boundary conditions.” Build. Environ., 27(4), 455–467.
Swaffield, J. A., and Campbell, D. P. (1995). “The simulation of air pressure propagation in building drainage and vent systems.” Build. Environ., 30(1), 115–127.
Swaffield, J. A., and Jack, L. B. (2004). “Control and suppression of air pressure transients in building drainage and vent systems.” Build. Res. Inf., 32(6), 451–467.
Swaffield, J. A., Jack, L. B., and Campbell, D. P. (2004). “Control and suppression of air pressure transients in building drainage and vent systems.” Build. Environ., 39(7), 783–794.
Wong, E. S. W., Chan, D. W. T., and Zhu, Z. J. (2011). “Fluctuation behaviors of air pressure in a high-rise building drainage system.” J. Archit. Eng., 82–84.
Wong, E. S. W., Li, Y. L., and Zhu, Z. J. (2013). “Predicting air pressure in a drainage stack of high-rise building.” Applied Math. Mech., 34(3), 351–362.
Yee, H. (1987). “Construction of explicit and implicit symmetric tvd schemes and their applications.” J. Comput. Phys., 68(1), 151–179.
Zhang, L., and Chen, Y. (2006). “Experimental report on the impact features of sanitary performance in drainage stack systems, part ii: Experimental data.” Research Rep., China National Engineering Research Center for Human Settlements, Beijing, 78–92, (in Chinese).
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© 2013 American Society of Civil Engineers.
History
Received: Dec 9, 2011
Accepted: Jan 22, 2013
Published online: Jan 24, 2013
Published in print: Mar 1, 2014
Discussion open until: Apr 29, 2014
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