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Application of Boundary Element Method to Solution of Transient Heat Conduction

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The object of this paper is the implementation of boundary element method to solving the transient heat transfer problem with nonzero boundary condition and particularly with periodic boundary condition. The new mathematical BEM algorithm for two dimensional transient heat conduction problem with periodic boundary condition is developed and verified. The results of numerical simulation of transient heat conduction in two dimensional flat plate under non zero initial condition are compared with results obtained with analytical method. Then the practical application of developed algorithm is presented, that is the solution of ground temperature distribution problem with oscillating temperature of ambient. All results were obtained with a new authoring computer program for solving transient heat conduction problem, written in Fortran.
Rocznik
Strony
67--74
Opis fizyczny
Bibliogr. 31 poz., Wykr.
Twórcy
autor
  • Faculty of Civil and Environmental Engineering, Department of Heat Engineering, Bialystok University of Technology, ul. Wiejska 45 E, 15-351 Bialystok, Poland, a.juszczuk@pb.edu.pl
Bibliografia
  • 1. Białecki R.A., Jurgaś P., Günther K. (2002), Dual reciprocity BEM without matrix inversion for transient heat conduction, Engineering Analysis with Boundary Elements, 26, 227–236.
  • 2. Brebbia C.A. (ed) (1984) Topics in Boundary Element Research. Vol1. Basic Principles and Applications Springer-Verlag
  • 3. Brebbia C.A.,Telles J.C.F., Wrobel L.C. (1984), Boundary Element Techniques. Theory and Applications in Engineering, Springer-Verlag
  • 4. Cheng R.J., Liew K.M. (2012), A meshless analysis of threedimensional transient heat conduction problems, Engineering Analysis with Boundary Elements 36, 203–210.
  • 5. Erhart K., Divo E., Kassab A.J. (2006), A parallel domain decomposition boundary element method approach for the solution of large-scale transient heat conduction problems, Engineering Analysis with Boundary Elements, 30, 553–563.
  • 6. Godinho L., Tadeu A., Simoes N. (2004), Study of transient heat conduction in 2.5D domains using the boundary element method, Engineering Analysis with Boundary Elements 28, 593–606.
  • 7. Johansson B.T., Lesnic D. (2008), A method of fundamental solutions for transient heat conduction, Engineering Analysis with Boundary Elements, 32, 697–703.
  • 8. Johansson T., Lesnic D. (2009), A method of fundamental solutions for transient heat conduction in layered materials, Engineering Analysis with Boundary Elements, 33, 1362–1367.
  • 9. Katsikadelis, J.T. (2002), Boundary Elements. Theory and Applications, Elsevier Science Ltd.
  • 10. Kythe P.K. (2005), Introduction to Boundary Element Methods, CRC Press.
  • 11. Li Q.-H., Chen S.-S., Kou G.-X. (2011), Transient heat conduction analysis using the MLPG method and modified precise time step integration method, Journal of Computational Physics, 230, 2736–2750.
  • 12. Lu X., Tervola P., Viljanen M. (2006), Transient analytical solution to heat conduction in composite circular cylinder, International Journal of Heat and Mass Transfer, 49, 341–348.
  • 13. Lu X., Viljanen M. (2006), An analytical method to solve heat conduction in layered spheres with time-dependent boundary conditions. Physics Letters A 351, 274–282.
  • 14. Majchrzak E. (2001), Boundary element method in heat transfer, Częstochowa University of Technology (in Polish).
  • 15. Mansur W.J., Vasconcellos C.A.B., Zambrozuski N.J.M., Rotunno Filho O.C. (2009), Numerical solution for the linear transient heat conduction equation using an Explicit Green’s Approach. International Journal of Heat and Mass Transfer, 52, 694–701.
  • 16. Mohammadia M., Hematiyan M.R., Marin L. (2010), Boundary element analysis of nonlinear transient heat conduction problems involving non-homogenous and nonlinear heat sources using timedependent fundamental solutions, Engineering Analysis with Boundary Elements, 34, 655–665.
  • 17. Monte F., Beck J.V., Amos D.E. (2012), Solving two-dimensional Cartesian unsteady heat conduction problems for small values of the time, International Journal of Thermal Sciences 60, 106– 113.
  • 18. Ochiai Y., Kitayama Y. (2009) Three-dimensional unsteady heat conduction analysis by triple-reciprocity boundary element method,Engineering Analysis with Boundary Elements, 33, 789–795.
  • 19. Ochiai Y., Sladek V., Sladek J. (2006) Transient heat conduction analysis by triple-reciprocity boundary element method, Engineering Analysis with Boundary Elements, 30, 194–204.
  • 20. Pozrikidis C.A. (2000), Practical Guide to Boundary Element Methods with the software, Library BEMLIB Chapman&Hall/CRC.
  • 21. Rantala J. (2005), A new method to estimate the periodic temperature distribution underneath a slab-on-ground structure,Building and Environment, 40, 832–840.
  • 22. Simoes N., Tadeu A., Antonio J., Mansur W. (2012), Transient heat conduction under nonzero initial conditions: A solution using the boundary element method in the frequency domain, Engineering Analysis with Boundary Elements, 36, 562–567.
  • 23. Singh S., Jain P.K., Rizwan-uddin (2008), Analytical solution to transient heat conduction in polar coordinates with multiple layers in radial direction, International Journal of Thermal Sciences, 47, 261–273.
  • 24. Soleimani S., Jalaal M., Bararnia H., Ghasemi E., Ganji D.D., Mohammadi F. (2010), Local RBF-DQ method for two-dimensional transient heat conduction problems, International Communications in Heat and Mass Transfer, 37, 1411–1418.
  • 25. Sorko S.A., Karpovich S. (2007), Solving the unsteady heat transfer problem with periodic boundary condition by the boundary integral equations method, Teoretičeskaă i Prikladnaă Mehanika, Vol. 22.
  • 26. Sutradhar A., Paulino G.H. (2004), The simple boundary element method for transient heat conduction in functionally graded materials,Computer Methods in Applied Mechanics and Engineering, 193, 4511–4539.
  • 27. Tanaka M., Matsumoto T., Takakuwa S. (2006), Dual reciprocity BEM for time-stepping approach to the transient heat conduction problem in nonlinear materials, Computer Methods in Applied Mechanics and Engineering, 195, 4953–4961.
  • 28. Wrobel L.C. (2002), The Boundary Element Method Vol I. Applications in Thermo-Fluids and Acoustic, Willey.
  • 29. Yang K., Gao X.-W. (2010), Radial integration BEM for transient heat conduction problems, Engineering Analysis with Boundary Elements, 34, 557–563.
  • 30. Yumrutas R., Unsal M., Kanoglu M. (2005), Periodic solution of transient heat flow through multilayer walls and flat roofs by complex finite Fourier transform technique, Building and Environment, 40, 1117–1125.
  • 31. Zhang X.H., Ouyang J., Zhang L. (2009), Matrix free meshless method for transient heat conduction problems, International Journal of Heat and Mass Transfer, 52, 2161–2165.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB2-0074-0007
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