Applicability tests for empirical formulas: Analysis of turbulent flows and general comments
Abstract Direct and differential-invariant methods for processing experimental data are used to analyze Nikuradse’s results for a turbulent flow of a viscous liquid in round smooth tubes for various Reynolds numbers. It is found that direct testing ratios do not make it possible to draw a correct in...
Ausführliche Beschreibung
Autor*in: |
Polyanin, A. D. [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
2009 |
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Schlagwörter: |
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Anmerkung: |
© Pleiades Publishing, Ltd. 2009 |
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Übergeordnetes Werk: |
Enthalten in: Theoretical foundations of chemical engineering - SP MAIK Nauka/Interperiodica, 1967, 43(2009), 2 vom: Apr., Seite 119-128 |
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Übergeordnetes Werk: |
volume:43 ; year:2009 ; number:2 ; month:04 ; pages:119-128 |
Links: |
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DOI / URN: |
10.1134/S0040579509020018 |
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Katalog-ID: |
OLC205426024X |
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10.1134/S0040579509020018 doi (DE-627)OLC205426024X (DE-He213)S0040579509020018-p DE-627 ger DE-627 rakwb eng 660 VZ Polyanin, A. D. verfasserin aut Applicability tests for empirical formulas: Analysis of turbulent flows and general comments 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2009 Abstract Direct and differential-invariant methods for processing experimental data are used to analyze Nikuradse’s results for a turbulent flow of a viscous liquid in round smooth tubes for various Reynolds numbers. It is found that direct testing ratios do not make it possible to draw a correct inference about the applicability of the Prandtl logarithmic profile. The explanation of this paradoxical result is given. It is shown that although direct applicability tests for empirical formulas do not generally ensure the necessary conditions of their applicability, they make it possible to draw subtle qualitative inferences that cannot be reached using the least-squares method. Reynolds Number Empirical Formula Logarithmic Function Round Tube Bold Solid Line Vyazmina, E. A. aut Dil’man, V. V. aut Enthalten in Theoretical foundations of chemical engineering SP MAIK Nauka/Interperiodica, 1967 43(2009), 2 vom: Apr., Seite 119-128 (DE-627)129601438 (DE-600)241412-0 (DE-576)015095061 0040-5795 nnns volume:43 year:2009 number:2 month:04 pages:119-128 https://doi.org/10.1134/S0040579509020018 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-CHE SSG-OLC-PHA SSG-OLC-DE-84 GBV_ILN_70 AR 43 2009 2 04 119-128 |
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10.1134/S0040579509020018 doi (DE-627)OLC205426024X (DE-He213)S0040579509020018-p DE-627 ger DE-627 rakwb eng 660 VZ Polyanin, A. D. verfasserin aut Applicability tests for empirical formulas: Analysis of turbulent flows and general comments 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2009 Abstract Direct and differential-invariant methods for processing experimental data are used to analyze Nikuradse’s results for a turbulent flow of a viscous liquid in round smooth tubes for various Reynolds numbers. It is found that direct testing ratios do not make it possible to draw a correct inference about the applicability of the Prandtl logarithmic profile. The explanation of this paradoxical result is given. It is shown that although direct applicability tests for empirical formulas do not generally ensure the necessary conditions of their applicability, they make it possible to draw subtle qualitative inferences that cannot be reached using the least-squares method. Reynolds Number Empirical Formula Logarithmic Function Round Tube Bold Solid Line Vyazmina, E. A. aut Dil’man, V. V. aut Enthalten in Theoretical foundations of chemical engineering SP MAIK Nauka/Interperiodica, 1967 43(2009), 2 vom: Apr., Seite 119-128 (DE-627)129601438 (DE-600)241412-0 (DE-576)015095061 0040-5795 nnns volume:43 year:2009 number:2 month:04 pages:119-128 https://doi.org/10.1134/S0040579509020018 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-CHE SSG-OLC-PHA SSG-OLC-DE-84 GBV_ILN_70 AR 43 2009 2 04 119-128 |
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10.1134/S0040579509020018 doi (DE-627)OLC205426024X (DE-He213)S0040579509020018-p DE-627 ger DE-627 rakwb eng 660 VZ Polyanin, A. D. verfasserin aut Applicability tests for empirical formulas: Analysis of turbulent flows and general comments 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2009 Abstract Direct and differential-invariant methods for processing experimental data are used to analyze Nikuradse’s results for a turbulent flow of a viscous liquid in round smooth tubes for various Reynolds numbers. It is found that direct testing ratios do not make it possible to draw a correct inference about the applicability of the Prandtl logarithmic profile. The explanation of this paradoxical result is given. It is shown that although direct applicability tests for empirical formulas do not generally ensure the necessary conditions of their applicability, they make it possible to draw subtle qualitative inferences that cannot be reached using the least-squares method. Reynolds Number Empirical Formula Logarithmic Function Round Tube Bold Solid Line Vyazmina, E. A. aut Dil’man, V. V. aut Enthalten in Theoretical foundations of chemical engineering SP MAIK Nauka/Interperiodica, 1967 43(2009), 2 vom: Apr., Seite 119-128 (DE-627)129601438 (DE-600)241412-0 (DE-576)015095061 0040-5795 nnns volume:43 year:2009 number:2 month:04 pages:119-128 https://doi.org/10.1134/S0040579509020018 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-CHE SSG-OLC-PHA SSG-OLC-DE-84 GBV_ILN_70 AR 43 2009 2 04 119-128 |
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10.1134/S0040579509020018 doi (DE-627)OLC205426024X (DE-He213)S0040579509020018-p DE-627 ger DE-627 rakwb eng 660 VZ Polyanin, A. D. verfasserin aut Applicability tests for empirical formulas: Analysis of turbulent flows and general comments 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2009 Abstract Direct and differential-invariant methods for processing experimental data are used to analyze Nikuradse’s results for a turbulent flow of a viscous liquid in round smooth tubes for various Reynolds numbers. It is found that direct testing ratios do not make it possible to draw a correct inference about the applicability of the Prandtl logarithmic profile. The explanation of this paradoxical result is given. It is shown that although direct applicability tests for empirical formulas do not generally ensure the necessary conditions of their applicability, they make it possible to draw subtle qualitative inferences that cannot be reached using the least-squares method. Reynolds Number Empirical Formula Logarithmic Function Round Tube Bold Solid Line Vyazmina, E. A. aut Dil’man, V. V. aut Enthalten in Theoretical foundations of chemical engineering SP MAIK Nauka/Interperiodica, 1967 43(2009), 2 vom: Apr., Seite 119-128 (DE-627)129601438 (DE-600)241412-0 (DE-576)015095061 0040-5795 nnns volume:43 year:2009 number:2 month:04 pages:119-128 https://doi.org/10.1134/S0040579509020018 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-CHE SSG-OLC-PHA SSG-OLC-DE-84 GBV_ILN_70 AR 43 2009 2 04 119-128 |
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Abstract Direct and differential-invariant methods for processing experimental data are used to analyze Nikuradse’s results for a turbulent flow of a viscous liquid in round smooth tubes for various Reynolds numbers. It is found that direct testing ratios do not make it possible to draw a correct inference about the applicability of the Prandtl logarithmic profile. The explanation of this paradoxical result is given. It is shown that although direct applicability tests for empirical formulas do not generally ensure the necessary conditions of their applicability, they make it possible to draw subtle qualitative inferences that cannot be reached using the least-squares method. © Pleiades Publishing, Ltd. 2009 |
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Abstract Direct and differential-invariant methods for processing experimental data are used to analyze Nikuradse’s results for a turbulent flow of a viscous liquid in round smooth tubes for various Reynolds numbers. It is found that direct testing ratios do not make it possible to draw a correct inference about the applicability of the Prandtl logarithmic profile. The explanation of this paradoxical result is given. It is shown that although direct applicability tests for empirical formulas do not generally ensure the necessary conditions of their applicability, they make it possible to draw subtle qualitative inferences that cannot be reached using the least-squares method. © Pleiades Publishing, Ltd. 2009 |
abstract_unstemmed |
Abstract Direct and differential-invariant methods for processing experimental data are used to analyze Nikuradse’s results for a turbulent flow of a viscous liquid in round smooth tubes for various Reynolds numbers. It is found that direct testing ratios do not make it possible to draw a correct inference about the applicability of the Prandtl logarithmic profile. The explanation of this paradoxical result is given. It is shown that although direct applicability tests for empirical formulas do not generally ensure the necessary conditions of their applicability, they make it possible to draw subtle qualitative inferences that cannot be reached using the least-squares method. © Pleiades Publishing, Ltd. 2009 |
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D.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Applicability tests for empirical formulas: Analysis of turbulent flows and general comments</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2009</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">© Pleiades Publishing, Ltd. 2009</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Direct and differential-invariant methods for processing experimental data are used to analyze Nikuradse’s results for a turbulent flow of a viscous liquid in round smooth tubes for various Reynolds numbers. 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V.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Theoretical foundations of chemical engineering</subfield><subfield code="d">SP MAIK Nauka/Interperiodica, 1967</subfield><subfield code="g">43(2009), 2 vom: Apr., Seite 119-128</subfield><subfield code="w">(DE-627)129601438</subfield><subfield code="w">(DE-600)241412-0</subfield><subfield code="w">(DE-576)015095061</subfield><subfield code="x">0040-5795</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:43</subfield><subfield code="g">year:2009</subfield><subfield code="g">number:2</subfield><subfield code="g">month:04</subfield><subfield code="g">pages:119-128</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1134/S0040579509020018</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-TEC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-CHE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHA</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-DE-84</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">43</subfield><subfield code="j">2009</subfield><subfield code="e">2</subfield><subfield code="c">04</subfield><subfield code="h">119-128</subfield></datafield></record></collection>
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