General second order fluid flow in a pipe
Abstract It is more satisfactory for fluid materials between viscous and elastic to introduce the fractional calculus approach into the constitutive relationship. This paper employs the fractional calculus approach to study second fluid flow in a pape. First, we derive the analytical solution which...
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| Autor*in: |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1995 |
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| Umfang: |
7 |
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| Reproduktion: |
Springer Online Journal Archives 1860-2002 |
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| Übergeordnetes Werk: |
in: Applied mathematics and mechanics - 1980, 16(1995) vom: Sept., Seite 825-831 |
| Übergeordnetes Werk: |
volume:16 ; year:1995 ; month:09 ; pages:825-831 ; extent:7 |
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| 520 | |a Abstract It is more satisfactory for fluid materials between viscous and elastic to introduce the fractional calculus approach into the constitutive relationship. This paper employs the fractional calculus approach to study second fluid flow in a pape. First, we derive the analytical solution which the derivate order is half and then with the analytical solution we verify the reliability of Laplace numerical inversion based on Crump algorithm for the problem, and finally we analyze the characteristics of second order fluid flow in a pipe by using Crump method. The results indicate that the more obvious the viscoelastic properties of fluid is, the more sensitive the depondence of velocity and stress on fractional derivative order is. | ||
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| 700 | 1 | |a Guangyu, He |4 oth | |
| 700 | 1 | |a Junqi, Huang |4 oth | |
| 700 | 1 | |a Ciqun, Liu |4 oth | |
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(DE-627)NLEJ192946439 DE-627 ger DE-627 rakwb eng General second order fluid flow in a pipe 1995 7 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract It is more satisfactory for fluid materials between viscous and elastic to introduce the fractional calculus approach into the constitutive relationship. This paper employs the fractional calculus approach to study second fluid flow in a pape. First, we derive the analytical solution which the derivate order is half and then with the analytical solution we verify the reliability of Laplace numerical inversion based on Crump algorithm for the problem, and finally we analyze the characteristics of second order fluid flow in a pipe by using Crump method. The results indicate that the more obvious the viscoelastic properties of fluid is, the more sensitive the depondence of velocity and stress on fractional derivative order is. Springer Online Journal Archives 1860-2002 Guangyu, He oth Junqi, Huang oth Ciqun, Liu oth in Applied mathematics and mechanics 1980 16(1995) vom: Sept., Seite 825-831 (DE-627)NLEJ188989714 (DE-600)2035105-7 1573-2754 nnns volume:16 year:1995 month:09 pages:825-831 extent:7 http://dx.doi.org/10.1007/BF02458607 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 16 1995 9 825-831 7 |
| spelling |
(DE-627)NLEJ192946439 DE-627 ger DE-627 rakwb eng General second order fluid flow in a pipe 1995 7 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract It is more satisfactory for fluid materials between viscous and elastic to introduce the fractional calculus approach into the constitutive relationship. This paper employs the fractional calculus approach to study second fluid flow in a pape. First, we derive the analytical solution which the derivate order is half and then with the analytical solution we verify the reliability of Laplace numerical inversion based on Crump algorithm for the problem, and finally we analyze the characteristics of second order fluid flow in a pipe by using Crump method. The results indicate that the more obvious the viscoelastic properties of fluid is, the more sensitive the depondence of velocity and stress on fractional derivative order is. Springer Online Journal Archives 1860-2002 Guangyu, He oth Junqi, Huang oth Ciqun, Liu oth in Applied mathematics and mechanics 1980 16(1995) vom: Sept., Seite 825-831 (DE-627)NLEJ188989714 (DE-600)2035105-7 1573-2754 nnns volume:16 year:1995 month:09 pages:825-831 extent:7 http://dx.doi.org/10.1007/BF02458607 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 16 1995 9 825-831 7 |
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(DE-627)NLEJ192946439 DE-627 ger DE-627 rakwb eng General second order fluid flow in a pipe 1995 7 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract It is more satisfactory for fluid materials between viscous and elastic to introduce the fractional calculus approach into the constitutive relationship. This paper employs the fractional calculus approach to study second fluid flow in a pape. First, we derive the analytical solution which the derivate order is half and then with the analytical solution we verify the reliability of Laplace numerical inversion based on Crump algorithm for the problem, and finally we analyze the characteristics of second order fluid flow in a pipe by using Crump method. The results indicate that the more obvious the viscoelastic properties of fluid is, the more sensitive the depondence of velocity and stress on fractional derivative order is. Springer Online Journal Archives 1860-2002 Guangyu, He oth Junqi, Huang oth Ciqun, Liu oth in Applied mathematics and mechanics 1980 16(1995) vom: Sept., Seite 825-831 (DE-627)NLEJ188989714 (DE-600)2035105-7 1573-2754 nnns volume:16 year:1995 month:09 pages:825-831 extent:7 http://dx.doi.org/10.1007/BF02458607 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 16 1995 9 825-831 7 |
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(DE-627)NLEJ192946439 DE-627 ger DE-627 rakwb eng General second order fluid flow in a pipe 1995 7 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract It is more satisfactory for fluid materials between viscous and elastic to introduce the fractional calculus approach into the constitutive relationship. This paper employs the fractional calculus approach to study second fluid flow in a pape. First, we derive the analytical solution which the derivate order is half and then with the analytical solution we verify the reliability of Laplace numerical inversion based on Crump algorithm for the problem, and finally we analyze the characteristics of second order fluid flow in a pipe by using Crump method. The results indicate that the more obvious the viscoelastic properties of fluid is, the more sensitive the depondence of velocity and stress on fractional derivative order is. Springer Online Journal Archives 1860-2002 Guangyu, He oth Junqi, Huang oth Ciqun, Liu oth in Applied mathematics and mechanics 1980 16(1995) vom: Sept., Seite 825-831 (DE-627)NLEJ188989714 (DE-600)2035105-7 1573-2754 nnns volume:16 year:1995 month:09 pages:825-831 extent:7 http://dx.doi.org/10.1007/BF02458607 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 16 1995 9 825-831 7 |
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(DE-627)NLEJ192946439 DE-627 ger DE-627 rakwb eng General second order fluid flow in a pipe 1995 7 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract It is more satisfactory for fluid materials between viscous and elastic to introduce the fractional calculus approach into the constitutive relationship. This paper employs the fractional calculus approach to study second fluid flow in a pape. First, we derive the analytical solution which the derivate order is half and then with the analytical solution we verify the reliability of Laplace numerical inversion based on Crump algorithm for the problem, and finally we analyze the characteristics of second order fluid flow in a pipe by using Crump method. The results indicate that the more obvious the viscoelastic properties of fluid is, the more sensitive the depondence of velocity and stress on fractional derivative order is. Springer Online Journal Archives 1860-2002 Guangyu, He oth Junqi, Huang oth Ciqun, Liu oth in Applied mathematics and mechanics 1980 16(1995) vom: Sept., Seite 825-831 (DE-627)NLEJ188989714 (DE-600)2035105-7 1573-2754 nnns volume:16 year:1995 month:09 pages:825-831 extent:7 http://dx.doi.org/10.1007/BF02458607 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 16 1995 9 825-831 7 |
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Abstract It is more satisfactory for fluid materials between viscous and elastic to introduce the fractional calculus approach into the constitutive relationship. This paper employs the fractional calculus approach to study second fluid flow in a pape. First, we derive the analytical solution which the derivate order is half and then with the analytical solution we verify the reliability of Laplace numerical inversion based on Crump algorithm for the problem, and finally we analyze the characteristics of second order fluid flow in a pipe by using Crump method. The results indicate that the more obvious the viscoelastic properties of fluid is, the more sensitive the depondence of velocity and stress on fractional derivative order is. |
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Abstract It is more satisfactory for fluid materials between viscous and elastic to introduce the fractional calculus approach into the constitutive relationship. This paper employs the fractional calculus approach to study second fluid flow in a pape. First, we derive the analytical solution which the derivate order is half and then with the analytical solution we verify the reliability of Laplace numerical inversion based on Crump algorithm for the problem, and finally we analyze the characteristics of second order fluid flow in a pipe by using Crump method. The results indicate that the more obvious the viscoelastic properties of fluid is, the more sensitive the depondence of velocity and stress on fractional derivative order is. |
| abstract_unstemmed |
Abstract It is more satisfactory for fluid materials between viscous and elastic to introduce the fractional calculus approach into the constitutive relationship. This paper employs the fractional calculus approach to study second fluid flow in a pape. First, we derive the analytical solution which the derivate order is half and then with the analytical solution we verify the reliability of Laplace numerical inversion based on Crump algorithm for the problem, and finally we analyze the characteristics of second order fluid flow in a pipe by using Crump method. The results indicate that the more obvious the viscoelastic properties of fluid is, the more sensitive the depondence of velocity and stress on fractional derivative order is. |
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