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Abstract

This paper proposes three mathematical models that use solar radiation theory, transient heat transfer theory, and the finite element method to compute daily solar radiation, determine a thermal-penetration depth as a boundary condition, and eventually estimate pavement temperatures. The objective of this paper is to predict low design temperatures of asphalt pavements in dry–freeze regions. These step-by-step numerical analysis efforts provide pavement engineers and researchers with a method for prediction of low design temperatures of asphalt pavements. Daily solar radiation is calculated as input for determination of the thermal-penetration depth in a semi-infinite asphalt pavement system. Through use of the determined thermal-penetration depth as the prescribed temperature in the process of finite element analysis, the pavement temperature profile, including surface temperatures, can be better calculated. The finite element analysis results are verified with the SHRP, Canadian SHRP, and Superpave^® models and are validated with three sets of temperature data exported from the Long-Term Pavement Performance program in southern Utah. Comparison results present close agreement with the three predicted models and field temperatures with reasonable accuracy.

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References

Duffie

J. A.

, and Beckman

W. A.

Solar Engineering of Thermal Processes, 3rd ed. John Wiley and Sons, Inc., New York, 2006.

Tiwari

G. N.

Solar Energy: Fundamentals, Design, Modeling and Applications. CRC Press, Boca Raton, Fla., 2002.

Watson

R. D.

, and Chapman

K. S.

Radiant Heating and Cooling Handbook. McGraw-Hill, New York, 2002.

Badu-Tweneboah

, Tia

, and Ruth

B. E.

Procedures for Estimation of Asphalt Concrete Pavement Moduli at In Situ Temperatures. In Transportation Research Record 1121, TRB, National Research Council, Washington, D.C., 1987, pp. 1–16.

Thompson

M. R.

, Dempsey

B. J.

, Hill

, and Vogel

Characterizing Temperature Effects for Pavement Analysis and Design. In Transportation Research Record 1121, TRB, National Research Council, Washington D.C., 1987, pp. 14–22.

Solaimanian

, and Kennedy

T. W.

Predicting Maximum Pavement Surface Temperature Using Maximum Air Temperature and Hourly Solar Radiation. In Transportation Research Record 1417, TRB, National Research Council, Washington D.C., 1993, pp. 1–11.

Mrawira

D. M.

, and Luca

Thermal Properties and Transient Temperature Response of Full-Depth Asphalt Pavements. In Transportation Research Record: Journal of the Transportation Research Board, No. 1809, Transportation Research Board of the National Academies, Washington D.C., 2002, pp. 160–171.

Hermansson

Simulation Model for Calculating Pavement Temperatures Including Maximum Temperature. In Transportation Research Record: Journal of the Transportation Research Board, No. 1699, TRB, National Research Council, Washington D.C., 2000, pp. 134–141.

Hermansson

Mathematical Model for Calculation of Pavement Temperatures: Comparison of Calculated and Measured Temperatures. In Transportation Research Record: Journal of the Transportation Research Board, No. 1764, Transportation Research Board of the National Academies, Washington D.C., 2001, pp. 180–188.

10.

Diefenderfer

B. K.

, Al-Qadi

I. L.

, and S.D. Diefenderfer. Model to Predict Pavement Temperature Profile: Development and Validation. Journal of Transportation, Feb. 2006, pp. 162–167.

11.

Gui

J. G.

, Phelan

P. E.

, Kaloush

K. E.

, and Golden

J. S.

Impact of Pavement Thermophysical Properties on Surface Temperature.

Journal of Materials in Civil Engineering, Aug. 2007, pp. 683–690.

12.

Chiasson

A. D.

, Spitler

J. D.

, Rees

S. J.

, and Smith

M. D.

A Model for Simulating the Performance of a Pavement Heating System as a Supplemental Heat Rejecter with Closed-Loop Ground-Source Heat Pump Systems.

Journal of Solar Energy Engineering, Vol. 122, Nov. 2000, pp. 183–191.

13.

Yavuzturk

, Ksaibati

, and Chiasson

A. C.

Assessment of Temperature Fluctuations in Asphalt Pavements Due to Thermal Environmental Conditions Using a Two-Dimensional, Transient Finite-Difference Approach.

Journal of Materials in Civil Engineering, July–Aug. 2005, pp. 465–475.

14.

Pasetto

, Moro

, and Bonso

Analytical Investigation on Transient Heat Transfer in Bituminous Pavements. Proc., 4th European Symposium on Performance of Bituminous and Hydraulic Materials in Pavements. Nottingham Centre for Pavement Engineering, University of Nottingham, United Kingdom, April 11–12, 2002, pp. 323–330.

15.

Minhoto

M. J. C.

, Pais

J. C.

, Pereira

P. A. A.

, and Picado-Santos

L. G.

Predicting Asphalt Pavement Temperature with a Three-Dimensional Finite Element Method. In Transportation Research Record: Journal of the Transportation Research Board, No. 1919, Transportation Research Board of the National Academies, Washington, D.C., 2005, pp. 96–110.

16.

Superpave Level 1 Mix Design. Superpave Series No. 2 (SP-2), Asphalt Institute, Lexington, Ky., Aug. 1995.

17.

NASA Surface Meteorology and Solar Energy SolarSizer Database. NASA Atmospheric Science Data Center. http://eosweb.larc.nasa.gov/cgi-bin/sse/sizer.cgi. Accessed June 17, 2008.

18.

Stoffels

S. M.

, Lauritzen

W. R.

, and Roque

Temperature Estimation for Low-Temperature Cracking of Asphalt Concrete. In Transportation Research Record 1417, TRB, National Research Council, Washington, D.C., 1993, pp. 158–167.

19.

Hagen

K. D.

Heat Transfer with Applications. Prentice Hall, Inc.

Englewood Cliffs, N.J.,

1999.

20.

Vehrencamp

J. E.

Experimental Investigation of Heat Transfer at an Air–Earth Interface.

Transactions: American Geophysical Union, Vol. 34, No. 1, 1953, pp. 22–29.

21.

Dempsey

B. J.

A Heat Transfer Model for Evaluating Frost Action and Temperature-Related Effects in Multilayered Pavement Systems. In Highway Research Record 342, HRB, National Research Council, Washington, D.C., 1970, pp. 39–56.

22.

Schmidt

F. W.

, Henderson

R. E.

, and Wolgemuth

C. H.

Introduction to Thermal Sciences: Thermodynamics, Fluid Dynamics, Heat Transfer. John Wiley & Sons, Inc., New York, 1984.

Low Design Temperatures of Asphalt Pavements in Dry–Freeze Regions

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