MATHEMATICAL MODELLING OF TECHNOLOGICAL PROCESSES AND SYSTEMS

Contact heat transfer in the foundry – Tunnel effect

  • 1 Bulgarian Academy of Science, Sofia, Bulgaria Institute of Metal Science, Equipment and Technologies with Hydro- and Aerodynamics Centre „Acad. Angel Balevski “

Abstract

Mathematical methods of quantum mechanics are needed to describe the contact phenomena of the boundary casting/mold. Apart from the macro-level, the contact phenomena are part of the technological processes first order phase transition and second order phase transition. Need for professional software for mathematical simulation at macro- and micro-level in foundry. Education in basic mathematics and mathematical physics is also required for engineers. The branch machine-building infrastructure must develop a mechanism for inclusion in the computing infrastructure of the micro-foundries.

Keywords

References

  1. A. Velikov, S. Stanev, A. Maneva, R. Dikov, Experimental mold for studying the pressure on heat transfer between a casting and a mold during casting by the method of gas pressing (GP-PROCESS). VIII MEZINARODNI VEDECKO-PRACTICKA KONFERENCE PRAHA, 2012, 28-32. (In Russian)
  2. G. Georgiev, A. Velikov, S. Stanev, A. Maneva, Thermal processes in the formation of aluminum casting as per the „GP “method. XXII INTRENATIONAL SCIENTIFIC TECHNICAL CONFERENCE „FOUNDRY 2015“, 16- 17.04.2015, PLEVEN, BULGARIA.
  3. A. Velikov, S. Stanev, A. Maneva, K. Petrov, Forecasting of temperature changes in obtaining castings with complex configuration by the method „Gas pressing “. Proceedings - International Conference „70 Years of MTF “, 2015, ISBN: 978-619-167-178-6, 141-144 International Non-Academic Publishing House (In Bulgarian)
  4. K. Kostov, M. Manilova, A. Velikov, At. Baikushev, Influence of interrupted recrystallization on the mechanical properties of aluminum alloys. XXIX International Conference “Defectoscopy’14”, “Days of Non-Destructive Testing 2014”, Year XXII, issue 1 (150), June 2014, 1, 150, 2014, 186-188. ISBN: 131-3946 (In Bulgarian)
  5. M. Manilova, A. Velikov, K. Kostov, At. Baikushev, Change of the mechanical properties of aluminum alloys with heat treatment while preserving the coarse-grained cast structure. NDT days 2014, "Days of non-destructive testing 2014", Year XXII, issue 1 (150), June 2014, 1, 150, 2014. ISBN: 131-3946
  6. Ch. Kittel, Introduction to Solid State Physics, Fourth Edition, John Wiley and Sons, Inc., Science, Moscow, 1978. (In Rusian)
  7. Clark, S. J.; Segall, M. D.; Pickard, C. J.; Hasnip, P. J.; Probert, M. J.; Refson, K.; Payne, M. C. "First principles methods using CASTEP", Zeitschrift fuer Kristallographie, 220 (5-6), 567-570 (2005). en.wikipedia.org › wiki › CASTEP and CASTEP www.castep.org
  8. Enrico Fermi, Thermodynamics, Prentice-Hall, New York, 1937, second stereotype edition, Publishing House of Kharkov University, 1973. (In Russian)
  9. A. Balevski, Metal science, Technics, Sofia, 1962. (In Bulgarian)
  10. M. Flemings, Solidification processing, Peace, Moscow, 1977. (In Russian)
  11. M. Borisov, K. Marinova, Introduction to Solid State Physics Part One, Science and Art, Sofia, 1977. (In Bulgarian)
  12. A. Polikarov, Methodology of scientific knowledge, Science and Art, Sofia, 1972.
  13. B Crowell, Simpel Nature an introduction to Physics for Engineering and Physical Science Students, www.lightandmatter.com
  14. N. V. Vitanov, www.course.quantum-bg.org/
  15. L. Litov, Quantum physics, https://www.atomic.phys.uni-sofia.bg/lectures
  16. R. E. Smallman, R. J. Bishop, Modern Physical Metallurgy and Materials Engineering, Butterworth-Heinemann, Oxford, 1999. ISBN 0 7506 4564 4
  17. P. Iaydjiev, Experiments beyond the Standard model, INRNE – BAS, https://indico.cern.ch/Experiments_BSM_Last.pdf
  18. A. Cohn, M. Rabinowitz, Classical Tunneling, arXiv:physics/0306009v1 [physics.gen-ph]
  19. W. Ubachs – Lectures MNW-Quant-Tunneling, www.nat.vu.nl/~wimu/EDUC/MNW-lec-Quant-tunneling.pdf
  20. D. Raabe, Multiscale materials simulation, Winter school 02.2017, German Research Foundation SPP Aachen Germany.
  21. Ch. Wert, R. Thomson, Physics of Solids, Peace, Moscow (1969). (In Russian)
  22. G. Ghosh, M. Asta, First-principles calculation of structural energetics of Al–TM (TM = Ti, Zr, Hf) intermetallics, Acta Materialia 53 (2005) 3225–3252. first-principles employing electronic density-functional theory; ab-initio; pseudopotential;
  23. W. Moy, M. A. Carignano, S. Kais, Finite Element Method for Finite-Size Scaling in Quantum Mechanics, J. Phys. Chem. A 2008, 112, 5448–5452
  24. H. J. W. Müller–Kirsten, D. K. Park, J. M. S. Rana, A condition for first order phase transitions in quantum mechanical tunneling models, arXiv:cond-mat/9902184v1[cond-mat.mes-hall],12 Feb 1999
  25. S. A. Owerre, M. B. Paranjape, Macroscopic quantum tunneling and quantum-classical phase transitions of the escape rate in large spin systems, arXiv:1403.4208v3 [cond-mat.other], 2 Oct 2014
  26. P.M.W. Gill, Density Functional Theory (DFT), Hartree-Fock (HF), and the Self-Consistent Field, University Cambridge, UK, 1994, 678-689 http://rsc/anu.edu.~pgill/papers/066CC.pdf
  27. List of quantum chemistry and solid state physics software … https://en.wikipedia.org/wiki/List_of_quantum...

Article full text

Download PDF