Analysis of the integro-differential equation of constant-rate particle transfer
Abstract Some conclusions from the integro-differential equation of constant-rate particle transfer were considered. In a sense, this equation is a microscopic kinetic equation for the phenomenological macroscopic equations of heat transfer, diffusion, and other transfer processes. It was shown that...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Moshinskii, A. I. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2000 |
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| Schlagwörter: |
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| Anmerkung: |
© MAIK “Nauka/Interperiodica” 2000 |
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| Übergeordnetes Werk: |
Enthalten in: Theoretical foundations of chemical engineering - Nauka/Interperiodica, 1967, 34(2000), 2 vom: März, Seite 120-128 |
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| Übergeordnetes Werk: |
volume:34 ; year:2000 ; number:2 ; month:03 ; pages:120-128 |
| Links: |
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| DOI / URN: |
10.1007/BF02757828 |
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OLC2054250449 |
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| 520 | |a Abstract Some conclusions from the integro-differential equation of constant-rate particle transfer were considered. In a sense, this equation is a microscopic kinetic equation for the phenomenological macroscopic equations of heat transfer, diffusion, and other transfer processes. It was shown that, in the limiting case, the above integro-differential equation can be reduced to these macroscopic equations. Formulas were derived for calculating the thermal conductivity and the diffusion coefficient as tensor quantities. With the use of the concepts of Galerkin’s method, the hyperbolic differential equations of heat and mass transfer were obtained. | ||
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10.1007/BF02757828 doi (DE-627)OLC2054250449 (DE-He213)BF02757828-p DE-627 ger DE-627 rakwb eng 660 VZ Moshinskii, A. I. verfasserin aut Analysis of the integro-differential equation of constant-rate particle transfer 2000 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © MAIK “Nauka/Interperiodica” 2000 Abstract Some conclusions from the integro-differential equation of constant-rate particle transfer were considered. In a sense, this equation is a microscopic kinetic equation for the phenomenological macroscopic equations of heat transfer, diffusion, and other transfer processes. It was shown that, in the limiting case, the above integro-differential equation can be reduced to these macroscopic equations. Formulas were derived for calculating the thermal conductivity and the diffusion coefficient as tensor quantities. With the use of the concepts of Galerkin’s method, the hyperbolic differential equations of heat and mass transfer were obtained. Diffusion Equation Transfer Equation Hyperbolic Equation Macroscopic Equation Laplace Inversion Enthalten in Theoretical foundations of chemical engineering Nauka/Interperiodica, 1967 34(2000), 2 vom: März, Seite 120-128 (DE-627)129601438 (DE-600)241412-0 (DE-576)015095061 0040-5795 nnns volume:34 year:2000 number:2 month:03 pages:120-128 https://doi.org/10.1007/BF02757828 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-CHE SSG-OLC-PHA SSG-OLC-DE-84 GBV_ILN_20 GBV_ILN_23 GBV_ILN_70 GBV_ILN_2014 GBV_ILN_4116 AR 34 2000 2 03 120-128 |
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10.1007/BF02757828 doi (DE-627)OLC2054250449 (DE-He213)BF02757828-p DE-627 ger DE-627 rakwb eng 660 VZ Moshinskii, A. I. verfasserin aut Analysis of the integro-differential equation of constant-rate particle transfer 2000 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © MAIK “Nauka/Interperiodica” 2000 Abstract Some conclusions from the integro-differential equation of constant-rate particle transfer were considered. In a sense, this equation is a microscopic kinetic equation for the phenomenological macroscopic equations of heat transfer, diffusion, and other transfer processes. It was shown that, in the limiting case, the above integro-differential equation can be reduced to these macroscopic equations. Formulas were derived for calculating the thermal conductivity and the diffusion coefficient as tensor quantities. With the use of the concepts of Galerkin’s method, the hyperbolic differential equations of heat and mass transfer were obtained. Diffusion Equation Transfer Equation Hyperbolic Equation Macroscopic Equation Laplace Inversion Enthalten in Theoretical foundations of chemical engineering Nauka/Interperiodica, 1967 34(2000), 2 vom: März, Seite 120-128 (DE-627)129601438 (DE-600)241412-0 (DE-576)015095061 0040-5795 nnns volume:34 year:2000 number:2 month:03 pages:120-128 https://doi.org/10.1007/BF02757828 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-CHE SSG-OLC-PHA SSG-OLC-DE-84 GBV_ILN_20 GBV_ILN_23 GBV_ILN_70 GBV_ILN_2014 GBV_ILN_4116 AR 34 2000 2 03 120-128 |
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10.1007/BF02757828 doi (DE-627)OLC2054250449 (DE-He213)BF02757828-p DE-627 ger DE-627 rakwb eng 660 VZ Moshinskii, A. I. verfasserin aut Analysis of the integro-differential equation of constant-rate particle transfer 2000 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © MAIK “Nauka/Interperiodica” 2000 Abstract Some conclusions from the integro-differential equation of constant-rate particle transfer were considered. In a sense, this equation is a microscopic kinetic equation for the phenomenological macroscopic equations of heat transfer, diffusion, and other transfer processes. It was shown that, in the limiting case, the above integro-differential equation can be reduced to these macroscopic equations. Formulas were derived for calculating the thermal conductivity and the diffusion coefficient as tensor quantities. With the use of the concepts of Galerkin’s method, the hyperbolic differential equations of heat and mass transfer were obtained. Diffusion Equation Transfer Equation Hyperbolic Equation Macroscopic Equation Laplace Inversion Enthalten in Theoretical foundations of chemical engineering Nauka/Interperiodica, 1967 34(2000), 2 vom: März, Seite 120-128 (DE-627)129601438 (DE-600)241412-0 (DE-576)015095061 0040-5795 nnns volume:34 year:2000 number:2 month:03 pages:120-128 https://doi.org/10.1007/BF02757828 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-CHE SSG-OLC-PHA SSG-OLC-DE-84 GBV_ILN_20 GBV_ILN_23 GBV_ILN_70 GBV_ILN_2014 GBV_ILN_4116 AR 34 2000 2 03 120-128 |
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10.1007/BF02757828 doi (DE-627)OLC2054250449 (DE-He213)BF02757828-p DE-627 ger DE-627 rakwb eng 660 VZ Moshinskii, A. I. verfasserin aut Analysis of the integro-differential equation of constant-rate particle transfer 2000 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © MAIK “Nauka/Interperiodica” 2000 Abstract Some conclusions from the integro-differential equation of constant-rate particle transfer were considered. In a sense, this equation is a microscopic kinetic equation for the phenomenological macroscopic equations of heat transfer, diffusion, and other transfer processes. It was shown that, in the limiting case, the above integro-differential equation can be reduced to these macroscopic equations. Formulas were derived for calculating the thermal conductivity and the diffusion coefficient as tensor quantities. With the use of the concepts of Galerkin’s method, the hyperbolic differential equations of heat and mass transfer were obtained. Diffusion Equation Transfer Equation Hyperbolic Equation Macroscopic Equation Laplace Inversion Enthalten in Theoretical foundations of chemical engineering Nauka/Interperiodica, 1967 34(2000), 2 vom: März, Seite 120-128 (DE-627)129601438 (DE-600)241412-0 (DE-576)015095061 0040-5795 nnns volume:34 year:2000 number:2 month:03 pages:120-128 https://doi.org/10.1007/BF02757828 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-CHE SSG-OLC-PHA SSG-OLC-DE-84 GBV_ILN_20 GBV_ILN_23 GBV_ILN_70 GBV_ILN_2014 GBV_ILN_4116 AR 34 2000 2 03 120-128 |
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10.1007/BF02757828 doi (DE-627)OLC2054250449 (DE-He213)BF02757828-p DE-627 ger DE-627 rakwb eng 660 VZ Moshinskii, A. I. verfasserin aut Analysis of the integro-differential equation of constant-rate particle transfer 2000 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © MAIK “Nauka/Interperiodica” 2000 Abstract Some conclusions from the integro-differential equation of constant-rate particle transfer were considered. In a sense, this equation is a microscopic kinetic equation for the phenomenological macroscopic equations of heat transfer, diffusion, and other transfer processes. It was shown that, in the limiting case, the above integro-differential equation can be reduced to these macroscopic equations. Formulas were derived for calculating the thermal conductivity and the diffusion coefficient as tensor quantities. With the use of the concepts of Galerkin’s method, the hyperbolic differential equations of heat and mass transfer were obtained. Diffusion Equation Transfer Equation Hyperbolic Equation Macroscopic Equation Laplace Inversion Enthalten in Theoretical foundations of chemical engineering Nauka/Interperiodica, 1967 34(2000), 2 vom: März, Seite 120-128 (DE-627)129601438 (DE-600)241412-0 (DE-576)015095061 0040-5795 nnns volume:34 year:2000 number:2 month:03 pages:120-128 https://doi.org/10.1007/BF02757828 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-CHE SSG-OLC-PHA SSG-OLC-DE-84 GBV_ILN_20 GBV_ILN_23 GBV_ILN_70 GBV_ILN_2014 GBV_ILN_4116 AR 34 2000 2 03 120-128 |
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Abstract Some conclusions from the integro-differential equation of constant-rate particle transfer were considered. In a sense, this equation is a microscopic kinetic equation for the phenomenological macroscopic equations of heat transfer, diffusion, and other transfer processes. It was shown that, in the limiting case, the above integro-differential equation can be reduced to these macroscopic equations. Formulas were derived for calculating the thermal conductivity and the diffusion coefficient as tensor quantities. With the use of the concepts of Galerkin’s method, the hyperbolic differential equations of heat and mass transfer were obtained. © MAIK “Nauka/Interperiodica” 2000 |
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Abstract Some conclusions from the integro-differential equation of constant-rate particle transfer were considered. In a sense, this equation is a microscopic kinetic equation for the phenomenological macroscopic equations of heat transfer, diffusion, and other transfer processes. It was shown that, in the limiting case, the above integro-differential equation can be reduced to these macroscopic equations. Formulas were derived for calculating the thermal conductivity and the diffusion coefficient as tensor quantities. With the use of the concepts of Galerkin’s method, the hyperbolic differential equations of heat and mass transfer were obtained. © MAIK “Nauka/Interperiodica” 2000 |
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Abstract Some conclusions from the integro-differential equation of constant-rate particle transfer were considered. In a sense, this equation is a microscopic kinetic equation for the phenomenological macroscopic equations of heat transfer, diffusion, and other transfer processes. It was shown that, in the limiting case, the above integro-differential equation can be reduced to these macroscopic equations. Formulas were derived for calculating the thermal conductivity and the diffusion coefficient as tensor quantities. With the use of the concepts of Galerkin’s method, the hyperbolic differential equations of heat and mass transfer were obtained. © MAIK “Nauka/Interperiodica” 2000 |
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I.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Analysis of the integro-differential equation of constant-rate particle transfer</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2000</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© MAIK “Nauka/Interperiodica” 2000</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Some conclusions from the integro-differential equation of constant-rate particle transfer were considered. In a sense, this equation is a microscopic kinetic equation for the phenomenological macroscopic equations of heat transfer, diffusion, and other transfer processes. It was shown that, in the limiting case, the above integro-differential equation can be reduced to these macroscopic equations. Formulas were derived for calculating the thermal conductivity and the diffusion coefficient as tensor quantities. 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