A Modeling Approach of Heat Transfer of Bridges Considering Vehicle-Induced Thermal Effects

Suguang Xiao School of Civil Engineering and Environmental Science, University of Oklahoma, Norman, Oklahoma

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Sudhakar Neti Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, Pennsylvania

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Muhannad T. Suleiman Department of Civil and Environmental Engineering, Lehigh University, Bethlehem, Pennsylvania

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Clay Naito Department of Civil and Environmental Engineering, Lehigh University, Bethlehem, Pennsylvania

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Abstract

The design and application of bridge deicing systems require an understanding of heat-transfer mechanisms of the bridge. One of these systems is geothermal foundations that support structural loads and utilize heat exchange with the surrounding soil. To design such a bridge deicing system and ensure ice-free surfaces during winter, accurate prediction of the temperature of bridge decks is vital. Heat-transfer mechanisms of the bridge deck include many factors such as convection between air and deck, solar radiation, and longwave radiation. Despite considerable research in this area, traffic vehicle effects on the heat balance of the bridge have not been fully investigated. In this paper, a two-dimensional finite-element analysis that focuses on natural factors is proposed and validated using measured data. After the validation, the model was extended to include the vehicle effects for conditions of both light and heavy traffic, considering tire frictional heat and vehicle-induced convection and radiation. The results show that the vehicular traffic increased the bridge surface temperature by up to 2°C with light traffic and by up to 4°C with heavy traffic, thus providing an advantage for deicing. Traffic effects can cool the bridge surface temperature down by up to 2°C, mainly during the summertime. Therefore, the traffic effects can be optionally considered during the design of bridge deicing systems.

© 2018 American Meteorological Society. For information regarding reuse of this content and general copyright information, consult the AMS Copyright Policy (www.ametsoc.org/PUBSReuseLicenses).

Corresponding author: Suguang Xiao, suguangxiao@ou.edu

Abstract

The design and application of bridge deicing systems require an understanding of heat-transfer mechanisms of the bridge. One of these systems is geothermal foundations that support structural loads and utilize heat exchange with the surrounding soil. To design such a bridge deicing system and ensure ice-free surfaces during winter, accurate prediction of the temperature of bridge decks is vital. Heat-transfer mechanisms of the bridge deck include many factors such as convection between air and deck, solar radiation, and longwave radiation. Despite considerable research in this area, traffic vehicle effects on the heat balance of the bridge have not been fully investigated. In this paper, a two-dimensional finite-element analysis that focuses on natural factors is proposed and validated using measured data. After the validation, the model was extended to include the vehicle effects for conditions of both light and heavy traffic, considering tire frictional heat and vehicle-induced convection and radiation. The results show that the vehicular traffic increased the bridge surface temperature by up to 2°C with light traffic and by up to 4°C with heavy traffic, thus providing an advantage for deicing. Traffic effects can cool the bridge surface temperature down by up to 2°C, mainly during the summertime. Therefore, the traffic effects can be optionally considered during the design of bridge deicing systems.

© 2018 American Meteorological Society. For information regarding reuse of this content and general copyright information, consult the AMS Copyright Policy (www.ametsoc.org/PUBSReuseLicenses).

Corresponding author: Suguang Xiao, suguangxiao@ou.edu
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  • ANSYS, Inc., 2013: ANSYS Mechanical APDL basic analysis guide, release 15.0. ANSYS, 346 pp.

  • ASHRAE, 2011: Snow melting and freeze protection. ASHRAE Handbook—HVAC Applications, SI ed. American Society of Heating, Refrigeration and Air Conditioning Engineers, Inc., 51.1–51.20.

  • Azizinamini, A., E. H. Power, G. F. Myers, and H. C. Ozyildirim, 2014: Bridges for service life beyond 100 years: Innovative systems, subsystems, and components. Transportation Research Board Strategic Highway Research Program Rep. S2-R19A-RW-1, 248 pp.

    • Crossref
    • Export Citation
  • Bentz, D. P., 2000: A computer model to predict the surface temperature and time-of-wetness of concrete pavements and bridge decks. National Institute of Standards and Technology Interagency/Internal Rep. NISTIR 6551, 29 pp., https://ws680.nist.gov/publication/get_pdf.cfm?pub_id=860286.

    • Crossref
    • Export Citation
  • Bergman, T. L., A. S. Lavine, F. P. Incropera, and D. P. DeWitt, 2011: Fundamentals of Heat and Mass Transfer. 7th ed. John Wiley and Sons, 1048 pp.

  • Bretz, S. E., H. Akbari, and A. H. Rosenfeld, 1998: Practical issues for using solar-reflective materials to mitigate urban heat islands. Atmos. Environ., 32, 95101, https://doi.org/10.1016/S1352-2310(97)00182-9.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Brock, B. W., and N. S. Arnold, 2000: A spreadsheet-based (Microsoft Excel) point surface energy balance model for glacier and snow melt studies. Earth Surf. Processes Landforms, 25, 649658, https://doi.org/10.1002/1096-9837(200006)25:6<649::AID-ESP97>3.0.CO;2-U.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Brown, D. F., and W. E. Dunn, 1998: The surface energy budget meteorological model (SEBMET) for atmospheric boundary layer characterization. University of Illinois at Urbana–Champaign/U.S. Army Corps of Engineers Construction and Research Laboratory Rep., 232 pp.

  • Chapman, L., and J. E. Thornes, 2005: The influence of traffic on road surface temperatures: Implications for thermal mapping studies. Meteor. Appl., 12, 371380, https://doi.org/10.1017/S1350482705001957.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Chapman, L., J. E. Thornes, and A. V. Bradley, 2001: Modelling of road surface temperatures from a geographical parameter database. Part I: Statistical. Meteor. Appl., 8, 409419, https://doi.org/10.1017/S1350482701004030.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Chapman, W. P., 1952: Design of snow melting systems. Heat. Vent., 49, 96102.

  • Chen, X. M., L. Li, and Q. Shi, 2015: Stochastic Evolutions of Dynamic Traffic Flow: Modeling and Applications. Springer-Verlag, 193 pp., https://doi.org/10.1007/978-3-662-44572-3.

    • Crossref
    • Export Citation
  • Chiasson, A. D., J. D. Spitler, S. J. Rees, and M. D. Smith, 2000: A model for simulating the performance of a pavement heating system as a supplemental heat rejecter with closed-loop ground-source heat pump systems. ASME J. Sol. Energy Eng., 122, 183191, https://doi.org/10.1115/1.1330725.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Cress, M. D., 1995: Heated bridge deck construction and operation in Lincoln, Nebraska. IABSE Symp., San Francisco, CA, International Association for Bridge and Structural Engineering, 449–454.

  • Dingman, S. L., 1994: Physical Hydrology. Prentice-Hall, 575 pp.

  • Dong, J., and H. S. Mahmassani, 2012: Stochastic modeling of traffic flow breakdown phenomenon: Application to predicting travel time reliability. IEEE Trans. Intell. Transp. Syst., 13, 18031809, https://doi.org/10.1109/TITS.2012.2207433.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Eskridge, R. E., and J. C. R. Hunt, 1979: Highway modeling. Part I: Prediction of velocity and turbulence fields in the wakes of vehicles. J. Appl. Meteor., 18, 387400, https://doi.org/10.1175/1520-0450(1979)018<0387:HMPIPO>2.0.CO;2.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Eskridge, R. E., and R. S. Thompson, 1982: Experimental and theoretical study of the wake of a block-shaped vehicle in a shear-free boundary flow. Atmos. Environ., 16, 28212836, https://doi.org/10.1016/0004-6981(82)90033-6.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Fujimoto, A., H. Watanabe, and T. Fukuhara, 2008: Effects of vehicle heat on road surface temperature of dry condition. Proc. 14th Standing Int. Road Weather Conf., Prague, Czech Republic, Standing International Road Weather Commission, ID05, http://sirwec.org/wp-content/uploads/Presentations/2008-Prague/P-5.pdf.

  • Fujimoto, A., A. Saida, T. Fukuhara, and T. Futagami, 2010: Heat transfer analysis on road surface temperature near a traffic light. Proc. 17th ITS World Congress, Busan, South Korea, Intelligent Transportation Society, T_AP01138, https://trid.trb.org/view/1118661.

  • Fujimoto, A., A. Saida, and T. Fukuhara, 2012: A new approach to modeling vehicle-induced heat and its thermal effects on road surface temperature. J. Appl. Meteor. Climatol., 51, 19801993, https://doi.org/10.1175/JAMC-D-11-0156.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Gustavsson, T., and J. Bogren, 1991: Infrared thermography in applied road climatological studies. Int. J. Remote Sens., 19, 18111828, https://doi.org/10.1080/01431169108955211.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Herrero, J., and M. J. Polo, 2012: Parameterization of atmospheric longwave emissivity in a mountainous site for all sky conditions. Hydrol. Earth Syst. Sci., 16, 31393147, https://doi.org/10.5194/hess-16-3139-2012.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Hider, Z. E., S. Hibberd, and C. J. Baker, 1997: Modelling particulate dispersion in the wake of a vehicle. J. Wind Eng. Ind. Aerodyn., 67–68, 733744, https://doi.org/10.1016/S0167-6105(97)00114-1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Ishikawa, N., H. Narita, and Y. Kajiya, 1999: Contributions of heat from traffic vehicles to snow melting on roads. Transp. Res. Rec., 1672, 2833, https://doi.org/10.3141/1672-05.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Joerger, M. D., and F. C. Martinez, 2006: Electric heating of I-84 in Ladd Canyon, Oregon. Oregon Department of Transportation and FHWA Final Rep. SPR 304-461, 17 pp.

  • Juga, I., P. Nurmi, and M. Hippi, 2013: Statistical modelling of wintertime road surface friction. Meteor. Appl., 20, 318329, https://doi.org/10.1002/met.1285.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Khalifa, A., M. Marchetti, L. Bouilloud, E. Martin, M. Buès, and K. Chancibaut, 2016: Accounting for anthropic energy flux of traffic in winter urban road surface temperature simulations with the TEB model. Geosci. Model Dev., 9, 547565, https://doi.org/10.5194/gmd-9-547-2016.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Khalifa, A., R. Bouzouidja, M. Marchetti, M. Buès, L. Bouilloud, E. Martin, and K. Chancibaut, 2018: Individual contributions of anthropogenic physical processes associated to urban traffic in improving the road surface temperature forecast using TEB model. Urban Climate, 24, 778795, https://doi.org/10.1016/j.uclim.2017.09.003.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Koch, G. H., P. H. Brongers, N. G. Thompson, Y. P. Virmani, and J. H. Payer, 2002: Corrosion costs and prevention strategies in the United States. Federal Highway Administration Rep. FHWA-RD-01-156, 12 pp.

  • Laffont, S., G. Nierhoff, G. Regniet, and G. Schmidt, 1999: Verkehrsentwicklung auf Bundesfernstrassen 1998 (Development of traffic flow on German federal highways 1998). Berichte der Bundesanstalt für Strassenwesen No. V73, 165 pp.

  • Leal, M., and P. L. Miller, 1972: An analysis of the transient temperature distribution in pavement heating installations. ASHRAE Trans., 78, 6166.

    • Search Google Scholar
    • Export Citation
  • Lee, R. C., J. T. Sackos, J. E. Nydahl, and K. M. Pell, 1984: Bridge heating using ground-source heat pipes. Transp. Res. Rec., 962, 5157.

    • Search Google Scholar
    • Export Citation
  • Levinson, R., and H. Akbari, 2002: Effects of composition and exposure on the solar reflectance of Portland cement concrete. Cement Concr. Res., 32, 16791698, https://doi.org/10.1016/S0008-8846(02)00835-9.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Liu, X., S. J. Rees, and J. D. Spitler, 2007: Modeling snow melting on heated pavement surfaces. Part I: Model development. Appl. Therm. Eng., 27, 11151124, https://doi.org/10.1016/j.applthermaleng.2006.06.017.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Lund, J. W., 1999: Reconstruction of a pavement geothermal deicing system. Geo-Heat Cent. Quart. Bull., 20, 1417.

  • Minsk, L. D., 1999: Heated bridge technology: Report on ISTEA Sec. 6005 Program. U.S. Department of Transportation Publ. FHWA-RD-99-158, 54 pp., https://www.fhwa.dot.gov/publications/research/infrastructure/bridge/99158/99158.pdf.

  • Moene, A. F., and J. C. van Dam, 2014: Transport in the Atmosphere–Vegetation–Soil Continuum. Cambridge University Press, 436 pp., https://doi.org/10.1017/CBO9781139043137.

    • Crossref
    • Export Citation
  • National Renewable Energy Laboratory, 2010: National Solar Radiation Data Base: 1991–2010 update. U.S. Department of Energy, accessed 23 November 2012, http://rredc.nrel.gov/solar/old_data/nsrdb/1991-2010/.

  • New York City Department of Transportation, 2012: 2010 New York City bridge traffic volumes. NYC DOT Rep., 254 pp., http://www.nyc.gov/html/dot/downloads/pdf/bridge-traffic-report-10.pdf.

  • NOAA, 2018: Climate Data Online. NCEI, accessed 16 September 2018, https://www.ncdc.noaa.gov/cdo-web/datasets.

  • Parmenter, B. S., and J. E. Thornes, 1986: The use of a computer model to predict the formation of ice on road surfaces. Transport and Road Research Laboratory Research Rep. 71, 22 pp., https://trl.co.uk/sites/default/files/RR071.pdf.

  • Petersen, E. L., N. G. Mortensen, L. Landberg, J. Højstrup, and H. P. Frank, 1998a: Wind power meteorology. Part I: Climate and turbulence. Wind Energy, 1 (S1), 2545, https://doi.org/10.1002/(SICI)1099-1824(199804)1:1+<25::AID-WE4>3.3.CO;2-4.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Petersen, E. L., N. G. Mortensen, L. Landberg, J. Højstrup, and H. P. Frank, 1998b: Wind power meteorology. Part II: Siting and models. Wind Energy, 1 (2), 5572, https://doi.org/10.1002/(SICI)1099-1824(199812)1:2<55::AID-WE5>3.0.CO;2-R.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Prata, A. J., 1996: A new long-wave formula for estimating downward clear-sky radiation at the surface. Quart. J. Roy. Meteor. Soc., 122, 11271151, https://doi.org/10.1002/qj.49712253306.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Priestley, M. J. N., and S. J. Thurston, 1979: Discussion of the paper titled “Thermal calculations for bridge design” by Hunt et al. J. Struct. Div., 102, 12771279.

    • Search Google Scholar
    • Export Citation
  • Prusa, J. M., M. Segal, B. R. Temeyer, W. A. Gallus, and E. S. Takle, 2002: Conceptual and scaling evaluation of vehicle traffic thermal effects on snow/ice-covered roads. J. Appl. Meteor., 41, 12251240, https://doi.org/10.1175/1520-0450(2002)041<1225:CASEOV>2.0.CO;2.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Qin, Y. H., and J. E. Hiller, 2013: Ways of formulating wind speed in heat convection significantly influencing pavement temperature prediction. Heat Mass Transfer, 49, 745752, https://doi.org/10.1007/s00231-013-1116-0.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Ramsey, J. W., H. D. Chiang, and R. J. Goldstein, 1982: A study of the incoming longwave atmospheric radiation from a clear sky. J. Appl. Meteor., 21, 566578, https://doi.org/10.1175/1520-0450(1982)021<0566:ASOTIL>2.0.CO;2.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Ramsey, J. W., M. J. Hewett, T. H. Kuehn, and S. D. Petersen, 1999: Updated design guidelines for snow melting systems. ASHRAE Trans., 105, 10551065.

    • Search Google Scholar
    • Export Citation
  • Rao, K. S., R. L. Gunter, J. R. White, and R. P. Hosker, 2002: Turbulence and dispersion modeling near highways. Atmos. Environ., 36, 43374346, https://doi.org/10.1016/S1352-2310(02)00353-9.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Rasmussen, R., J. Vivekanandan, J. Cole, B. Myers, and C. Masters, 1999: The estimation of snowfall rate using visibility. J. Appl. Meteor., 38, 15421563, https://doi.org/10.1175/1520-0450(1999)038<1542:TEOSRU>2.0.CO;2.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Rees, S. J., J. D. Spitler, and X. Xiao, 2002: Transient analysis of snow-melting system performance. ASHRAE Trans., 108, 406423.

  • Ryu, Y., S. Kang, S. K. Moon, and J. Kim, 2008: Evaluation of land surface radiation balance derived from Moderate Resolution Imaging Spectrometer (MODIS) over complex terrain and heterogeneous landscape on clear sky days. Agric. For. Meteor., 148, 15381552, https://doi.org/10.1016/j.agrformet.2008.05.008.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Schnurr, N. M., and M. W. Falk, 1973: Transient analysis of snow melting systems. ASHRAE Trans., 79, 159166.

  • Sharples, S., and P. S. Charlesworth, 1998: Full-scale measurement of wind-induced convective heat transfer from a roof-mounted flat plate solar collector. Sol. Energy, 62, 6977, https://doi.org/10.1016/S0038-092X(97)00119-9.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Trenberth, K. E., and J. T. Fasullo, 2012: Tracking Earth’s energy: From El Niño to global warming. Surv. Geophys., 33, 413426, https://doi.org/10.1007/s10712-011-9150-2.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Trenberth, K. E., J. T. Fasullo, and J. Kiehl, 2009: Earth’s global energy budget. Bull. Amer. Meteor. Soc., 90, 311323, https://doi.org/10.1175/2008BAMS2634.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Trigo, I. F., C. Barroso, P. Viterbo, S. C. Freitas, and I. T. Monteiro, 2010: Estimation of downward long-wave radiation at the surface combining remotely sensed data and NWP data. J. Geophys. Res., 115, D24118, https://doi.org/10.1029/2010JD013888.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Tsiatas, G., E. E. McEwen, and H. Chen, 2002: Monitoring of long-term creep and temperature behavior of the Jamestown-Verrazzano Bridge. Rhode Island Department of Transportation Publ. FHWA-RI-RTD-02-1, 194 pp., http://www.dot.ri.gov/documents/about/research/Jamestown_Verrazzano_Monitoring.pdf.

  • Unsworth, M. H., and J. L. Monteith, 1975: Long-wave radiation at the ground I. Angular distribution of incoming radiation. Quart. J. Roy. Meteor. Soc., 101, 1324., https://doi.org/10.1002/qj.49710142703.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Walton, G. N., 1981: Passive solar extension of the Building Loads Analysis and System Thermodynamics (BLAST) program. U.S. Army Construction Engineering Research Laboratory Tech. Rep.

  • Xiao, S., M. T. Suleiman, C. Naito, and S. Neti, 2013: Use of geothermal deep foundations for bridge deicing. Transp. Res. Rec., 2363, 5665, https://doi.org/10.3141/2363-07.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Xiao, X., 2002: Modeling of hydronic and electric-cable snow-melting systems for pavements and bridge decks. M.S. thesis, Department of Mechanical and Aerospace Engineering, Oklahoma State University, 162 pp., https://shareok.org/handle/11244/11384.

  • Xie, P., P. Gu, and J. J. Beaudion, 1996: Electrical percolation phenomena in cement composites containing conductive fibers. J. Mater. Sci., 31, 40934097, https://doi.org/10.1007/BF00352673.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Zenewitz, J. A., 1977: Survey of alternatives to the use of chlorides for highway deicing. Federal Highway Administration Office of Development Rep. FHWA-RD-77-52, 23 pp.

  • Zhao, W., W. R. Kuhn, and S. R. Drayson, 1994: The significance of detailed structure in the boundary layer to thermal radiation at the surface in climate models. Geophys. Res. Lett., 21, 16311634, https://doi.org/10.1029/94GL01393.

    • Crossref
    • Search Google Scholar
    • Export Citation
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