Technical Papers
Aug 15, 2014

Development and Verification of a Flow Model of Conical Vortices on Saddle Roofs

Publication: Journal of Engineering Mechanics
Volume 141, Issue 3

Abstract

Through particle image velocimetry, conical vortices were observed near the leading edge of a flat roof and two saddle roofs whose high points were windward. The influences of wind direction and roof curvature on the appearance of conical vortices are discussed in this paper. The results indicated that when the wind direction changed from along the diagonal to deviating from the diagonal of the roofs, the conical vortex close to the approaching flow changed, becoming more oblong. At the same wind direction, a greater roof curvature led to a larger angle between the vortex axis and the leading edge of the saddle roof. Based on velocities measured in conical vortices by flow visualization, a simplified two-dimensional vortex model was established by adding a transitional region between the vortex core and the potential flow region of the Rankine vortex. Through this flow model, the intensities of conical vortices on the two saddle roofs under different wind directions were deduced. The quasi-steady theory was corrected by including the effect of vortices. With this two-dimensional vortex model and the corrected quasi-steady theory, the mean and peak suctions beneath cores of conical vortices on the two saddle roofs were predicted, and these predictions were verified by measured pressures.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The essential contributions of Professor Chen Zhengqing, Associate Professor Hua Xugang, and Teacher Niu Huawei in arranging and coordinating the PIV experiments are gratefully acknowledged. This work was supported by the National Science Fund for Distinguished Young Scholars of China (grant 51125031).

References

Banks, D. (2000). “The suction induced by conical vortices on low-buildings with flat roofs.” Ph.D. thesis, Univ. of Colorado State, Fort Collins, CO.
Banks, D., and Meroney, R. N. (2001a). “A model of roof-top surface pressures produced by conical vortices: Evaluation and implications.” Wind Struct., 4(4), 279–298.
Banks, D., and Meroney, R. N. (2001b). “A model of roof-top surface pressures produced by conical vortices: Model development.” Wind Struct., 4(3), 227–246.
Banks, D., Meroney, R. N., Sarkar, P. P., Zhao, Z., and Wu, F. (2000). “Flow visualization of conical vortices on flat roofs with simultaneous surface pressure measurement.” J. Wind Eng. Ind. Aerodyn., 84(1), 65–85.
Brizzi, L.-E., Poitras, G. J., and Gagnon, Y. (2008). “PIV measurements around 2D and 3D building models.” Int. J. Eng. Syst. Model. Simul., 1(1), 48–62.
Cook, N. J. (1985). The designer’s guide to wind loading of building structures: Part 1, Building Research Establishment, Garston, U.K.
Dong, X., and Ye, J. H. (2011). “Area-averaged wind pressure on a saddle roof.” J. Vib. Shock, 30(7), 21–30 (in Chinese).
Ekaterinaris, J. A., and Schiff, L. B. (1994). “Numerical simulation of incidence and sweep effects on delta wing vortex breakdown.” J. Aircr., 31(5), 1043–1049.
Elsayed, M., Scarano, F., and Verhaagen, N. G. (2007). “Particle image velocimetry study of the flow over a slender delta wind.” Proc., 25th AIAA Conf. on Applied Aerodynamics, American Institute of Aeronautics and Astronautics, Reston, VA, 2034–2043.
Gamboa-Marrufo, M., Wood, C. J., and Belcher, R. (2009). “Mean characteristics of conical vortices above roof eaves of low-rise cubic buildings using particle image velocimetry.” Ing., Invest. Tecnol., 10(2), 113–123.
Ito, S., Okuda, Y., and Kikitsu, H. (2006). “Experimental study on flow and pressure fields over the roof of a cube by PIV measurements.” Proc., 4th Int. Symp. on Computational Wind Engineering, Japan Association for Wind Engineering, Tokyo, 435–438.
Kawai, H. (1997). “Structure of conical vortices related with suction fluctuation on a flat roof in oblique smooth and turbulent flows.” J. Wind Eng. Ind. Aerodyn., 69–71(Jul–Oct), 579–588.
Kawai, H. (2002). “Local peak pressure and conical vortex on building.” J. Wind Eng. Ind. Aerodyn., 90(4–5), 251–263.
Kawai, H., and Nishimura, G. (1996). “Characteristics of fluctuating suction and conical vortices on a flat roof in oblique flow.” J. Wind Eng. Ind. Aerodyn., 60(Apr), 211–225.
Kim, K. C., Ji, H. S., and Seong, S. H. (2001). “PIV measurement of roof corner vortices.” Wind Struct., 4(5), 441–454.
Kim, K. C., Ji, H. S., and Seong, S. H. (2003). “Flow structure around a 3-D rectangular prism in a turbulent boundary layer.” J. Wind Eng. Ind. Aerodyn., 91(5), 653–669.
Letchford, C. W., Iverson, R. E., and McDonald, J. R. (1993). “The application of the Quasi-steady Theory to full scale measurement on the Texas Tech building.” J. Wind Eng. Ind. Aerodyn., 48(1), 111–132.
Marwood, R., and Wood, C. J. (1997). “Conical vortex movement and its effect on roof pressures.” J. Wind Eng. Ind. Aerodyn., 69–71(Jul–Oct), 589–595.
MicroVec 3.2.1 [Computer software]. Beijing, Beijing Lifang Tiandi Science and Technology Development.
Ministry of Housing and Urban-Rural Development of the People’s Republic of China (MOHURD). (2001). “Load code for the design of building structures.” GB50009-2001, Beijing.
Rizzi, A., and Muller, B. (1989). “Large-scale viscous simulation of laminar vortex flow over a delta wing.” AIAA J., 27(7), 833–840.
Simiu, E., and Scanlan, R. H. (1996). Wind effects on structures: An introduction to wind engineering, 3rd Ed., Wiley, New York.
Tecplot 10.0 [Computer software]. Bellevue, WA, Tecplot.
Tryggeson, H., and Lyberg, M. D. (2010). “Stationary vortices attached to flat roofs.” J. Wind Eng. Ind. Aerodyn., 98(1), 47–54.
Uematsu, Y., and Isyumov, N. (1998). “Peak gust pressures acting on the roof and wall edges of a low-rise building.” J. Wind Eng. Ind. Aerodyn., 77–78(Sep), 217–231.
Wu, F., Sarkar, P. P., Mehta, K. C., and Zhao, Z. (2001). “Influence of incident wind turbulence on pressure fluctuations near flat-roof corners.” J. Wind Eng. Ind. Aerodyn., 89(5), 403–420.
Xu, H. F. (1987). Basis for aerodynamics, Beijing Aviation College Press, Beijing, 62–64 (in Chinese).
Zhao, Z. (1997). “Wind flow characteristics and their effects in low-rise buildings.” Ph.D. thesis, Texas Tech Univ., Lubbock, TX.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 141Issue 3March 2015

History

Received: Apr 15, 2014
Accepted: Jul 11, 2014
Published online: Aug 15, 2014
Published in print: Mar 1, 2015

Permissions

Request permissions for this article.

Authors

Affiliations

Ph.D. Candidate, Key Laboratory of Concrete and Pre-stressed Concrete Structures of Ministry of Education, Univ. of Southeast, Nanjing 210018, China; Engineer, Tongji Architectural Design (Group), 1230 Siping Rd., Shanghai 200092, China. E-mail: [email protected]
Professor, Key Laboratory of Concrete and Pre-stressed Concrete Structures of Ministry of Education, Univ. of Southeast, Nanjing 210018, China (corresponding author). E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share