Dendritic growth with thermal convection
Dendritic growth is inherently nonlinear and three-dimensional, and thermal convection, no matter how weak, always accompanies it and is counter-intuitive in nature because convection becomes more important as the driving force for it decreases. Moving boundary solutions of the nonlinear Navier-Stok...
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1988 |
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| Reproduktion: |
Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 |
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| Übergeordnetes Werk: |
in: Journal of Crystal Growth - Amsterdam : Elsevier, 91(1988), 4, Seite 587-598 |
| Übergeordnetes Werk: |
volume:91 ; year:1988 ; number:4 ; pages:587-598 |
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NLEJ177441992 |
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| 520 | |a Dendritic growth is inherently nonlinear and three-dimensional, and thermal convection, no matter how weak, always accompanies it and is counter-intuitive in nature because convection becomes more important as the driving force for it decreases. Moving boundary solutions of the nonlinear Navier-Stokes and energy equations are given which describe the three-dimensional axisymmetric growth of a shape preserving isothermal parabolic dendritic tip. New theoretical results show that the tip radius is the proper length scale if one includes the nonlinear interaction between fluid flow and energy transfer. Predicted values of growth velocity and tip radius are in good agreement with experiments over the entire range of available experimental data. It is shown that the Grashof number, which arises as a new parameter and enables one to compare theory with experiments without ad hoc hypotheses, increases as one decreases the subcooling, and convection becomes increasingly important in succinonitrile experiments as the subcooling is decreased below 1.65 K. The approximate analogy between thermal and forced convection, Gr = Re^2, is useful only when thermal convection is weak. It overpredicts the growth velocity and underpredicts the tip radius with increasing error as the intensity of thermal convection increases. | ||
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(DE-627)NLEJ177441992 (DE-599)GBVNLZ177441992 DE-627 ger DE-627 rakwb eng Dendritic growth with thermal convection 1988 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Dendritic growth is inherently nonlinear and three-dimensional, and thermal convection, no matter how weak, always accompanies it and is counter-intuitive in nature because convection becomes more important as the driving force for it decreases. Moving boundary solutions of the nonlinear Navier-Stokes and energy equations are given which describe the three-dimensional axisymmetric growth of a shape preserving isothermal parabolic dendritic tip. New theoretical results show that the tip radius is the proper length scale if one includes the nonlinear interaction between fluid flow and energy transfer. Predicted values of growth velocity and tip radius are in good agreement with experiments over the entire range of available experimental data. It is shown that the Grashof number, which arises as a new parameter and enables one to compare theory with experiments without ad hoc hypotheses, increases as one decreases the subcooling, and convection becomes increasingly important in succinonitrile experiments as the subcooling is decreased below 1.65 K. The approximate analogy between thermal and forced convection, Gr = Re^2, is useful only when thermal convection is weak. It overpredicts the growth velocity and underpredicts the tip radius with increasing error as the intensity of thermal convection increases. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Ananth, R. oth Gill, W.N. oth in Journal of Crystal Growth Amsterdam : Elsevier 91(1988), 4, Seite 587-598 (DE-627)NLEJ177047224 (DE-600)1466514-1 0022-0248 nnns volume:91 year:1988 number:4 pages:587-598 http://linkinghub.elsevier.com/retrieve/pii/0022-0248(88)90126-1 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 91 1988 4 587-598 |
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(DE-627)NLEJ177441992 (DE-599)GBVNLZ177441992 DE-627 ger DE-627 rakwb eng Dendritic growth with thermal convection 1988 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Dendritic growth is inherently nonlinear and three-dimensional, and thermal convection, no matter how weak, always accompanies it and is counter-intuitive in nature because convection becomes more important as the driving force for it decreases. Moving boundary solutions of the nonlinear Navier-Stokes and energy equations are given which describe the three-dimensional axisymmetric growth of a shape preserving isothermal parabolic dendritic tip. New theoretical results show that the tip radius is the proper length scale if one includes the nonlinear interaction between fluid flow and energy transfer. Predicted values of growth velocity and tip radius are in good agreement with experiments over the entire range of available experimental data. It is shown that the Grashof number, which arises as a new parameter and enables one to compare theory with experiments without ad hoc hypotheses, increases as one decreases the subcooling, and convection becomes increasingly important in succinonitrile experiments as the subcooling is decreased below 1.65 K. The approximate analogy between thermal and forced convection, Gr = Re^2, is useful only when thermal convection is weak. It overpredicts the growth velocity and underpredicts the tip radius with increasing error as the intensity of thermal convection increases. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Ananth, R. oth Gill, W.N. oth in Journal of Crystal Growth Amsterdam : Elsevier 91(1988), 4, Seite 587-598 (DE-627)NLEJ177047224 (DE-600)1466514-1 0022-0248 nnns volume:91 year:1988 number:4 pages:587-598 http://linkinghub.elsevier.com/retrieve/pii/0022-0248(88)90126-1 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 91 1988 4 587-598 |
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(DE-627)NLEJ177441992 (DE-599)GBVNLZ177441992 DE-627 ger DE-627 rakwb eng Dendritic growth with thermal convection 1988 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Dendritic growth is inherently nonlinear and three-dimensional, and thermal convection, no matter how weak, always accompanies it and is counter-intuitive in nature because convection becomes more important as the driving force for it decreases. Moving boundary solutions of the nonlinear Navier-Stokes and energy equations are given which describe the three-dimensional axisymmetric growth of a shape preserving isothermal parabolic dendritic tip. New theoretical results show that the tip radius is the proper length scale if one includes the nonlinear interaction between fluid flow and energy transfer. Predicted values of growth velocity and tip radius are in good agreement with experiments over the entire range of available experimental data. It is shown that the Grashof number, which arises as a new parameter and enables one to compare theory with experiments without ad hoc hypotheses, increases as one decreases the subcooling, and convection becomes increasingly important in succinonitrile experiments as the subcooling is decreased below 1.65 K. The approximate analogy between thermal and forced convection, Gr = Re^2, is useful only when thermal convection is weak. It overpredicts the growth velocity and underpredicts the tip radius with increasing error as the intensity of thermal convection increases. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Ananth, R. oth Gill, W.N. oth in Journal of Crystal Growth Amsterdam : Elsevier 91(1988), 4, Seite 587-598 (DE-627)NLEJ177047224 (DE-600)1466514-1 0022-0248 nnns volume:91 year:1988 number:4 pages:587-598 http://linkinghub.elsevier.com/retrieve/pii/0022-0248(88)90126-1 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 91 1988 4 587-598 |
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(DE-627)NLEJ177441992 (DE-599)GBVNLZ177441992 DE-627 ger DE-627 rakwb eng Dendritic growth with thermal convection 1988 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Dendritic growth is inherently nonlinear and three-dimensional, and thermal convection, no matter how weak, always accompanies it and is counter-intuitive in nature because convection becomes more important as the driving force for it decreases. Moving boundary solutions of the nonlinear Navier-Stokes and energy equations are given which describe the three-dimensional axisymmetric growth of a shape preserving isothermal parabolic dendritic tip. New theoretical results show that the tip radius is the proper length scale if one includes the nonlinear interaction between fluid flow and energy transfer. Predicted values of growth velocity and tip radius are in good agreement with experiments over the entire range of available experimental data. It is shown that the Grashof number, which arises as a new parameter and enables one to compare theory with experiments without ad hoc hypotheses, increases as one decreases the subcooling, and convection becomes increasingly important in succinonitrile experiments as the subcooling is decreased below 1.65 K. The approximate analogy between thermal and forced convection, Gr = Re^2, is useful only when thermal convection is weak. It overpredicts the growth velocity and underpredicts the tip radius with increasing error as the intensity of thermal convection increases. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Ananth, R. oth Gill, W.N. oth in Journal of Crystal Growth Amsterdam : Elsevier 91(1988), 4, Seite 587-598 (DE-627)NLEJ177047224 (DE-600)1466514-1 0022-0248 nnns volume:91 year:1988 number:4 pages:587-598 http://linkinghub.elsevier.com/retrieve/pii/0022-0248(88)90126-1 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 91 1988 4 587-598 |
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(DE-627)NLEJ177441992 (DE-599)GBVNLZ177441992 DE-627 ger DE-627 rakwb eng Dendritic growth with thermal convection 1988 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Dendritic growth is inherently nonlinear and three-dimensional, and thermal convection, no matter how weak, always accompanies it and is counter-intuitive in nature because convection becomes more important as the driving force for it decreases. Moving boundary solutions of the nonlinear Navier-Stokes and energy equations are given which describe the three-dimensional axisymmetric growth of a shape preserving isothermal parabolic dendritic tip. New theoretical results show that the tip radius is the proper length scale if one includes the nonlinear interaction between fluid flow and energy transfer. Predicted values of growth velocity and tip radius are in good agreement with experiments over the entire range of available experimental data. It is shown that the Grashof number, which arises as a new parameter and enables one to compare theory with experiments without ad hoc hypotheses, increases as one decreases the subcooling, and convection becomes increasingly important in succinonitrile experiments as the subcooling is decreased below 1.65 K. The approximate analogy between thermal and forced convection, Gr = Re^2, is useful only when thermal convection is weak. It overpredicts the growth velocity and underpredicts the tip radius with increasing error as the intensity of thermal convection increases. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Ananth, R. oth Gill, W.N. oth in Journal of Crystal Growth Amsterdam : Elsevier 91(1988), 4, Seite 587-598 (DE-627)NLEJ177047224 (DE-600)1466514-1 0022-0248 nnns volume:91 year:1988 number:4 pages:587-598 http://linkinghub.elsevier.com/retrieve/pii/0022-0248(88)90126-1 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 91 1988 4 587-598 |
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Dendritic growth with thermal convection |
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Dendritic growth is inherently nonlinear and three-dimensional, and thermal convection, no matter how weak, always accompanies it and is counter-intuitive in nature because convection becomes more important as the driving force for it decreases. Moving boundary solutions of the nonlinear Navier-Stokes and energy equations are given which describe the three-dimensional axisymmetric growth of a shape preserving isothermal parabolic dendritic tip. New theoretical results show that the tip radius is the proper length scale if one includes the nonlinear interaction between fluid flow and energy transfer. Predicted values of growth velocity and tip radius are in good agreement with experiments over the entire range of available experimental data. It is shown that the Grashof number, which arises as a new parameter and enables one to compare theory with experiments without ad hoc hypotheses, increases as one decreases the subcooling, and convection becomes increasingly important in succinonitrile experiments as the subcooling is decreased below 1.65 K. The approximate analogy between thermal and forced convection, Gr = Re^2, is useful only when thermal convection is weak. It overpredicts the growth velocity and underpredicts the tip radius with increasing error as the intensity of thermal convection increases. |
| abstractGer |
Dendritic growth is inherently nonlinear and three-dimensional, and thermal convection, no matter how weak, always accompanies it and is counter-intuitive in nature because convection becomes more important as the driving force for it decreases. Moving boundary solutions of the nonlinear Navier-Stokes and energy equations are given which describe the three-dimensional axisymmetric growth of a shape preserving isothermal parabolic dendritic tip. New theoretical results show that the tip radius is the proper length scale if one includes the nonlinear interaction between fluid flow and energy transfer. Predicted values of growth velocity and tip radius are in good agreement with experiments over the entire range of available experimental data. It is shown that the Grashof number, which arises as a new parameter and enables one to compare theory with experiments without ad hoc hypotheses, increases as one decreases the subcooling, and convection becomes increasingly important in succinonitrile experiments as the subcooling is decreased below 1.65 K. The approximate analogy between thermal and forced convection, Gr = Re^2, is useful only when thermal convection is weak. It overpredicts the growth velocity and underpredicts the tip radius with increasing error as the intensity of thermal convection increases. |
| abstract_unstemmed |
Dendritic growth is inherently nonlinear and three-dimensional, and thermal convection, no matter how weak, always accompanies it and is counter-intuitive in nature because convection becomes more important as the driving force for it decreases. Moving boundary solutions of the nonlinear Navier-Stokes and energy equations are given which describe the three-dimensional axisymmetric growth of a shape preserving isothermal parabolic dendritic tip. New theoretical results show that the tip radius is the proper length scale if one includes the nonlinear interaction between fluid flow and energy transfer. Predicted values of growth velocity and tip radius are in good agreement with experiments over the entire range of available experimental data. It is shown that the Grashof number, which arises as a new parameter and enables one to compare theory with experiments without ad hoc hypotheses, increases as one decreases the subcooling, and convection becomes increasingly important in succinonitrile experiments as the subcooling is decreased below 1.65 K. The approximate analogy between thermal and forced convection, Gr = Re^2, is useful only when thermal convection is weak. It overpredicts the growth velocity and underpredicts the tip radius with increasing error as the intensity of thermal convection increases. |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">NLEJ177441992</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20210706051042.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">070505s1988 xx |||||o 00| ||eng c</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)NLEJ177441992</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)GBVNLZ177441992</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Dendritic growth with thermal convection</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1988</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Dendritic growth is inherently nonlinear and three-dimensional, and thermal convection, no matter how weak, always accompanies it and is counter-intuitive in nature because convection becomes more important as the driving force for it decreases. Moving boundary solutions of the nonlinear Navier-Stokes and energy equations are given which describe the three-dimensional axisymmetric growth of a shape preserving isothermal parabolic dendritic tip. New theoretical results show that the tip radius is the proper length scale if one includes the nonlinear interaction between fluid flow and energy transfer. Predicted values of growth velocity and tip radius are in good agreement with experiments over the entire range of available experimental data. It is shown that the Grashof number, which arises as a new parameter and enables one to compare theory with experiments without ad hoc hypotheses, increases as one decreases the subcooling, and convection becomes increasingly important in succinonitrile experiments as the subcooling is decreased below 1.65 K. The approximate analogy between thermal and forced convection, Gr = Re^2, is useful only when thermal convection is weak. It overpredicts the growth velocity and underpredicts the tip radius with increasing error as the intensity of thermal convection increases.</subfield></datafield><datafield tag="533" ind1=" " ind2=" "><subfield code="f">Elsevier Journal Backfiles on ScienceDirect 1907 - 2002</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ananth, R.</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Gill, W.N.</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">in</subfield><subfield code="t">Journal of Crystal Growth</subfield><subfield code="d">Amsterdam : Elsevier</subfield><subfield code="g">91(1988), 4, Seite 587-598</subfield><subfield code="w">(DE-627)NLEJ177047224</subfield><subfield code="w">(DE-600)1466514-1</subfield><subfield code="x">0022-0248</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:91</subfield><subfield code="g">year:1988</subfield><subfield code="g">number:4</subfield><subfield code="g">pages:587-598</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://linkinghub.elsevier.com/retrieve/pii/0022-0248(88)90126-1</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_H</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-1-SDJ</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_NL_ARTICLE</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">91</subfield><subfield code="j">1988</subfield><subfield code="e">4</subfield><subfield code="h">587-598</subfield></datafield></record></collection>
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