RSS feeds
ÐóññêèéEnglish
Issue 12, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2014

 / 

August

←  →

Reviews of topical problems


Dendrite growth under forced convection: analysis methods and experimental tests

 a,  b, c
a Department of Mathematical Physics, Ural Federal University named after the First President of Russia B. N. Yeltsin, prosp. Lenina 51, Ekaterinburg, 620083, Russian Federation
b Friedrich-Schiller-Universität-Jena, Physikalisch-Astronomische Fakultät, Löbdergraben Strasse 32, Jena, 07743, Germany
c Institut für Materialphysik im Weltraum, Deutsches Zentrum für Luft- und Raumfahrt (DLR), Köln, Germany

An analysis is given of the nonisothermal growth of a dendrite under forced fluid flow in a binary system. The theoretical model used employs a free moving crystal—liquid interface and makes use of the Oseen approximation for the equation of motion of the liquid. A criterion for the stable growth of a two-dimensional and a three-dimensional parabolic dendrite is derived under the assumption of an anisotropic surface tension at the crystal—liquid interface, which generalizes the previous known results for the stable growth of a dendrite with convection in a one-component liquid and for the growth of a dendrite in a two-component system at rest. The criterion obtained within the Oseen hydrodynamic approximation is extended to arbitrary Peclet numbers and dendrite growth with convection in a nonisothermal multicomponent system. Model predictions are compared with experimental data on crystal growth kinetics in droplets processed in electromagnetic and electrostatic levitation facilities. Theoretical and simulation methods currently being developed are applied to crystallization processes under Earth and reduced gravity conditions.

Fulltext pdf (827 KB)
Fulltext is also available at DOI: 10.3367/UFNe.0184.201408b.0833
PACS: 05.70.Fh, 05.70.Ln, 68.70.+w (all)
DOI: 10.3367/UFNe.0184.201408b.0833
URL: https://ufn.ru/en/articles/2014/8/b/
000345112400002
2-s2.0-84911489822
2014PhyU...57..771A
Citation: Alexandrov D V, Galenko P K "Dendrite growth under forced convection: analysis methods and experimental tests" Phys. Usp. 57 771–786 (2014)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 7th, December 2013, revised: 18th, March 2014, 26th, March 2014

Îðèãèíàë: Àëåêñàíäðîâ Ä Â, Ãàëåíêî Ï Ê «Äåíäðèòíûé ðîñò ñ âûíóæäåííîé êîíâåêöèåé: ìåòîäû àíàëèçà è ýêñïåðèìåíòàëüíûå òåñòû» ÓÔÍ 184 833–850 (2014); DOI: 10.3367/UFNr.0184.201408b.0833

References (94) Cited by (103) ↓ Similar articles (20)

  1. Garnov S V, Abramov D V et al Phys. Usp. 67 109 (2024)
  2. Galenko P K, Alexandrov D V, Toropova L V Physics Reports 1085 1 (2024)
  3. Aleshin M P, Tumarkina D D et al Phys. Metals Metallogr. 125 970 (2024)
  4. Alexandrov D V, Titova E A, Toropova L V Eur. Phys. J. Spec. Top. (2024)
  5. Makoveeva E V, Alexandrov D V et al Rasplavy (3) 238 (2024)
  6. Galenko P Phase Field Theory in Materials Physics Chapter 9 (2024) p. 121
  7. Makoveeva E V, Alexandrov D V et al Eur. Phys. J. Spec. Top. 232 1153 (2023)
  8. Toropova L V, Alexandrov D V et al Uspekhi Fizicheskikh Nauk 193 770 (2023)
  9. [Toropova L V, Alexandrov D V et al Phys. Usp. 66 722 (2023)]
  10. Gruzd S A, Mosin A I, Krivilyov M D Comp. Contin. Mech. 16 179 (2023)
  11. (PROCEEDINGS OF THE 11TH INTERNATIONAL ADVANCES IN APPLIED PHYSICS AND MATERIALS SCIENCE CONGRESS & EXHIBITION) Vol. PROCEEDINGS OF THE 11TH INTERNATIONAL ADVANCES IN APPLIED PHYSICS AND MATERIALS SCIENCE CONGRESS & EXHIBITIONThe boundary integral equation for the growth of a 2D dendrite in the presence of convectionE. A.Titova2803 (2023) p. 040003
  12. Starodumov I O, Titova E A et al Crystals 12 1590 (2022)
  13. Toropova L V, Alexandrov D V et al J. Phys.: Condens. Matter 34 094002 (2022)
  14. Chen W, Wu Sh, Wang R Materials 15 8243 (2022)
  15. Toropova L V Eur. Phys. J. Spec. Top. 231 1129 (2022)
  16. Toropova L V, Alexandrov D V, Galenko P K Russ. Metall. 2022 69 (2022)
  17. Zhao D, Gao J Crystal Growth & Design 22 5354 (2022)
  18. Toropova L V, Galenko P K, Alexandrov D V Crystals 12 965 (2022)
  19. Alexandrov D V, Osipov S I et al Crystals 12 1288 (2022)
  20. Titova E A, Alexandrov D V J. Phys. A: Math. Theor. 55 055701 (2022)
  21. Lee Ch, Yoon S et al Computers & Mathematics With Applications 125 25 (2022)
  22. Alexandrov D V, Toropova L V Sci Rep 12 (1) (2022)
  23. Titova E A, Alexandrov D V J. Phys.: Condens. Matter 34 244002 (2022)
  24. Toropova L V, Rettenmayr M et al Math Methods In App Sciences 45 8069 (2022)
  25. Alexandrov D V, Galenko P K Math Methods In App Sciences 45 8060 (2022)
  26. (EIGHTH INTERNATIONAL CONFERENCE NEW TRENDS IN THE APPLICATIONS OF DIFFERENTIAL EQUATIONS IN SCIENCES (NTADES2021)) Vol. EIGHTH INTERNATIONAL CONFERENCE NEW TRENDS IN THE APPLICATIONS OF DIFFERENTIAL EQUATIONS IN SCIENCES (NTADES2021)Boundary integral method with convection for the needle dendrite growthEkaterina A.Titova2459 (2022) p. 030037
  27. Ruzhitskaya D D, Ryzhikov S B, Ryzhikova Yu V Moscow Univ. Phys. 76 253 (2021)
  28. Luo L, Luo L et al Journal Of Materials Science & Technology 61 100 (2021)
  29. Alexandrov D V, Galenko P K Phil. Trans. R. Soc. A. 379 20200325 (2021)
  30. Toropova L V, Titova E A et al J. Phys.: Condens. Matter 33 365402 (2021)
  31. LIU Shu-cheng, LIU Li-hua et al Transactions Of Nonferrous Metals Society Of China 31 1518 (2021)
  32. Baranov M, Velichko E, Greshnevikov K Symmetry 13 123 (2021)
  33. Luo L, Luo L et al Journal Of Materials Science & Technology 79 1 (2021)
  34. Kurz W, Rappaz M, Trivedi R International Materials Reviews 66 30 (2021)
  35. Alexandrov D V, Titova E A et al J. Phys.: Condens. Matter 33 443002 (2021)
  36. Toropova L V, Alexandrov D V, Galenko P K Math Methods In App Sciences 44 12139 (2021)
  37. Alexandrov D V, Toropova L V et al Phil. Trans. R. Soc. A. 379 20200326 (2021)
  38. Alexandrov D V, Galenko P K J. Phys.: Conf. Ser. 2114 012043 (2021)
  39. LUO Lei, XIA Hong-ying et al Transactions Of Nonferrous Metals Society Of China 31 865 (2021)
  40. Luo L, Luo L et al Journal Of Materials Science & Technology 74 246 (2021)
  41. (THE 2ND INTERNATIONAL CONFERENCE ON PHYSICAL INSTRUMENTATION AND ADVANCED MATERIALS 2019) Vol. THE 2ND INTERNATIONAL CONFERENCE ON PHYSICAL INSTRUMENTATION AND ADVANCED MATERIALS 2019Modeling of a mushy zone during quasi-stationary solidification of TiAl alloyOlga M.ZhukovaIrina G.NizovtsevaEugeny V.PavlyukIlya O.StarodumovAlexander A.Ivanov2314 (2020) p. 060042
  42. (THE 2ND INTERNATIONAL CONFERENCE ON PHYSICAL INSTRUMENTATION AND ADVANCED MATERIALS 2019) Vol. THE 2ND INTERNATIONAL CONFERENCE ON PHYSICAL INSTRUMENTATION AND ADVANCED MATERIALS 2019Dendrite growth with arbitrary symmetry in the presence of convective heat and mass transfer boundary conditionsL. V.ToropovaD. V.AlexandrovP. K.Galenko2314 (2020) p. 030068
  43. Kao A, Toropova L V et al JOM 72 3123 (2020)
  44. Zhao D, Gao J, Kao A International Journal Of Heat And Mass Transfer 159 120113 (2020)
  45. Alexandrov D V, Galenko P K Phil. Trans. R. Soc. A. 378 20190243 (2020)
  46. Toropova L V, Alexandrov D V et al Journal Of Crystal Growth 535 125540 (2020)
  47. Kao A, Toropova L V et al J. Phys.: Condens. Matter 32 194002 (2020)
  48. Alexandrov D V, Zubarev A Yu Eur. Phys. J. Spec. Top. 229 2881 (2020)
  49. Toropova L V, Galenko P K et al Eur. Phys. J. Spec. Top. 229 2899 (2020)
  50. Nabavizadeh S A, Eshraghi M et al Heat Mass Transfer 56 1329 (2020)
  51. Titova E A, Alexandrov D V, Galenko P K Eur. Phys. J. Spec. Top. 229 2891 (2020)
  52. Alexandrov D V, Toropova L V, Galenko P K 1790-5044 15 29 (2020)
  53. Titova E A, Alexandrov D V, Galenko P K Journal Of Crystal Growth 531 125319 (2020)
  54. Gao J TMS 2020 149th Annual Meeting & Exhibition Supplemental Proceedings The Minerals, Metals & Materials Series Chapter 2 (2020) p. 13
  55. Cai X, Wang H P, Wei B International Journal Of Heat And Mass Transfer 151 119386 (2020)
  56. Kazak O V, Alexandrov D V, Galenko P K Eur. Phys. J. Spec. Top. 229 239 (2020)
  57. Ferreira e Pereira André, Planas G Journal Of Mathematical Analysis And Applications 482 123494 (2020)
  58. Toropova L V, Galenko P K et al Eur. Phys. J. Spec. Top. 229 275 (2020)
  59. Alexandrov D V, Galenko P K IUTAM Bookseries Vol. IUTAM Symposium on Recent Advances in Moving Boundary Problems in MechanicsSelection Criterion of Stable Mode of Dendritic Growth with n-Fold Symmetry at Arbitrary Péclet Numbers with a Forced Convection34 Chapter 17 (2019) p. 203
  60. Semyonov V I, Yu Ch A IOP Conf. Ser.: Mater. Sci. Eng. 643 012129 (2019)
  61. (PHYSICS, TECHNOLOGIES AND INNOVATION (PTI-2019): Proceedings of the VI International Young Researchers’ Conference) Vol. PHYSICS, TECHNOLOGIES AND INNOVATION (PTI-2019): Proceedings of the VI International Young Researchers’ Conference3D dendrite shape in the large chemical Péclet number limit in the case of rotational symmetryE. A.Titova2174 (2019) p. 020176
  62. Reuther K, Seyring M et al Materialia 8 100457 (2019)
  63. Nabavizadeh S A, Eshraghi M et al International Journal Of Multiphase Flow 116 137 (2019)
  64. (PHYSICS, TECHNOLOGIES AND INNOVATION (PTI-2019): Proceedings of the VI International Young Researchers’ Conference) Vol. PHYSICS, TECHNOLOGIES AND INNOVATION (PTI-2019): Proceedings of the VI International Young Researchers’ ConferenceEffect of forced convection on dendrite growth kineticsL. V.Toropova2174 (2019) p. 020177
  65. Wang T, Semenov S et al Metall Mater Trans B 50 3039 (2019)
  66. Alexandrov D V, Alexandrova I V Phil. Trans. R. Soc. A. 377 20180209 (2019)
  67. Titova E A, Galenko P K, Alexandrov D V Journal Of Physics And Chemistry Of Solids 134 176 (2019)
  68. Ruzhitskaya D D, Ryzhikov S B, Ryzhikova Yu V Moscow Univ. Phys. 73 306 (2018)
  69. Alexandrov D V, Galenko P K, Toropova L V Phil. Trans. R. Soc. A. 376 20170215 (2018)
  70. Toropova L V, Alexandrov D V, Galenko P K (AIP Conference Proceedings) Vol. 1953 (2018) p. 040005
  71. Alexandrov D V, Toropova L V, Galenko P K (AIP Conference Proceedings) Vol. 1978 (2018) p. 470065
  72. Toropova L V (AIP Conference Proceedings) Vol. 2015 (2018) p. 020103
  73. Titova E A, Alexandrov D V, Galenko P K Russ. Metall. 2018 737 (2018)
  74. Alexandrov D V, Galenko P K J. Phys.: Condens. Matter 30 105702 (2018)
  75. Buchbinder G L, Galenko P K Physica A: Statistical Mechanics And Its Applications 489 149 (2018)
  76. Galenko P K, Alexandrov D V, Titova E A Phil. Trans. R. Soc. A. 376 20170218 (2018)
  77. Alexandrov D V, Alexandrova I V, Ivanov A A (AIP Conference Proceedings) Vol. 1978 (2018) p. 470066
  78. Toropova L V, Alexandrov D V, Galenko P K (AIP Conference Proceedings) Vol. 1997 (2018) p. 020030
  79. Makoveeva E V, Alexandrov D V Phil. Trans. R. Soc. A. 376 20170327 (2018)
  80. Kao A, Gao J, Pericleous K Phil. Trans. R. Soc. A. 376 20170206 (2018)
  81. Toropova L V, Alexandrov D V, Galenko P K (AIP Conference Proceedings) Vol. 2034 (2018) p. 020003
  82. Gao J Phil. Trans. R. Soc. A. 376 20170209 (2018)
  83. Alexandrov D V, Galenko P K (AIP Conference Proceedings) Vol. 1906 (2017) p. 200003
  84. Titova E A, Alexandrov D V, Galenko P K IOP Conf. Ser.: Mater. Sci. Eng. 192 012025 (2017)
  85. Alexandrov D V, Dubovoi G Yu et al Russ. Metall. 2017 127 (2017)
  86. Alexandrov D V, Galenko P K Acta Materialia 137 64 (2017)
  87. Toropova L V, Dubovoi G Yu, Alexandrov D V IOP Conf. Ser.: Mater. Sci. Eng. 192 012007 (2017)
  88. Alexandrov D V, Galenko P K (AIP Conference Proceedings) Vol. 1906 (2017) p. 200004
  89. Alexandrov D V, Alexandrova I V (AIP Conference Proceedings) Vol. 1863 (2017) p. 560012
  90. Gao J, Kao A et al Journal Of Crystal Growth 471 66 (2017)
  91. Galenko P K, Danilov D A et al Journal Of Crystal Growth 457 349 (2017)
  92. Buyevich Yu A, Alexandrov D V IOP Conf. Ser.: Mater. Sci. Eng. 192 012001 (2017)
  93. Alexandrov D V, Galenko P K Physica A: Statistical Mechanics And Its Applications 469 420 (2017)
  94. Titova E A, Alexandrov D V, Galenko P K IOP Conf. Ser.: Mater. Sci. Eng. 192 012002 (2017)
  95. Gu Ch, Wei Ya et al Metall Mater Trans B 48 3388 (2017)
  96. Rodriguez Ju E, Matson D M Acta Materialia 129 408 (2017)
  97. Alexandrov D V, Galenko P K EPL 119 16001 (2017)
  98. Alexandrov D V, Galenko P K Journal Of Physics And Chemistry Of Solids 108 98 (2017)
  99. Zhao R, Gao J et al Journal Of Crystal Growth 475 354 (2017)
  100. Gao J, Han M et al Acta Materialia 103 184 (2016)
  101. Alexandrov D V, Danilov D A, Galenko P K International Journal Of Heat And Mass Transfer 101 789 (2016)
  102. Alexandrov D V, Galenko P K Phys. Chem. Chem. Phys. 17 19149 (2015)
  103. Galenko P K, Danilov D A, Alexandrov D V International Journal Of Heat And Mass Transfer 89 1054 (2015)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions