Travelling waves in a differential flow reactor with simple autocatalytic kinetics
Abstract A simple prototype model for a differential flow reactor in which the possible initiation and propagation of a reaction-diffusion-convection travelling-wave solution (TWS) in the simple isothermal autocatalytic system A+mB→ (m+1)B, rate $ kab^{m} $ (m ≥ 1) is studied with special attention...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Merkin, J.H. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1998 |
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| Anmerkung: |
© Kluwer Academic Publishers 1998 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of engineering mathematics - Kluwer Academic Publishers, 1967, 33(1998), 2 vom: Feb., Seite 157-174 |
|---|---|
| Übergeordnetes Werk: |
volume:33 ; year:1998 ; number:2 ; month:02 ; pages:157-174 |
| Links: |
|---|
| DOI / URN: |
10.1023/A:1004292023428 |
|---|
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OLC2074033648 |
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| 520 | |a Abstract A simple prototype model for a differential flow reactor in which the possible initiation and propagation of a reaction-diffusion-convection travelling-wave solution (TWS) in the simple isothermal autocatalytic system A+mB→ (m+1)B, rate $ kab^{m} $ (m ≥ 1) is studied with special attention being paid to the most realistic cases (m=1,2). The physical problem considered is such that the reactant A (present initially at uniform concentration) is immobilised within the reactor. A reaction is then initiated by allowing the autocatalyst species to enter and to flow through the reaction region with a constant velocity. The structure of the permanent-form travelling waves supported by the system is considered and a solution obtained valid when the flow rate (of the autocatalyst) is very large. General properties of the corresponding initial-value problem (IVP) are derived and it is shown that the TWS are the only long-time solutions supported by the system. Finally, these results are complemented with numerical solutions of the IVP which confirm the analytical results and allow the influence of the parameters of the problem not accessible to the theoretical analysis to be determined. | ||
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| 700 | 1 | |a Scott, S.K. |4 aut | |
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10.1023/A:1004292023428 doi (DE-627)OLC2074033648 (DE-He213)A:1004292023428-p DE-627 ger DE-627 rakwb eng 510 VZ Merkin, J.H. verfasserin aut Travelling waves in a differential flow reactor with simple autocatalytic kinetics 1998 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1998 Abstract A simple prototype model for a differential flow reactor in which the possible initiation and propagation of a reaction-diffusion-convection travelling-wave solution (TWS) in the simple isothermal autocatalytic system A+mB→ (m+1)B, rate $ kab^{m} $ (m ≥ 1) is studied with special attention being paid to the most realistic cases (m=1,2). The physical problem considered is such that the reactant A (present initially at uniform concentration) is immobilised within the reactor. A reaction is then initiated by allowing the autocatalyst species to enter and to flow through the reaction region with a constant velocity. The structure of the permanent-form travelling waves supported by the system is considered and a solution obtained valid when the flow rate (of the autocatalyst) is very large. General properties of the corresponding initial-value problem (IVP) are derived and it is shown that the TWS are the only long-time solutions supported by the system. Finally, these results are complemented with numerical solutions of the IVP which confirm the analytical results and allow the influence of the parameters of the problem not accessible to the theoretical analysis to be determined. Satnoianu, R.A. aut Scott, S.K. aut Enthalten in Journal of engineering mathematics Kluwer Academic Publishers, 1967 33(1998), 2 vom: Feb., Seite 157-174 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:33 year:1998 number:2 month:02 pages:157-174 https://doi.org/10.1023/A:1004292023428 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_70 GBV_ILN_95 GBV_ILN_2006 GBV_ILN_2015 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4307 GBV_ILN_4309 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4700 AR 33 1998 2 02 157-174 |
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10.1023/A:1004292023428 doi (DE-627)OLC2074033648 (DE-He213)A:1004292023428-p DE-627 ger DE-627 rakwb eng 510 VZ Merkin, J.H. verfasserin aut Travelling waves in a differential flow reactor with simple autocatalytic kinetics 1998 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1998 Abstract A simple prototype model for a differential flow reactor in which the possible initiation and propagation of a reaction-diffusion-convection travelling-wave solution (TWS) in the simple isothermal autocatalytic system A+mB→ (m+1)B, rate $ kab^{m} $ (m ≥ 1) is studied with special attention being paid to the most realistic cases (m=1,2). The physical problem considered is such that the reactant A (present initially at uniform concentration) is immobilised within the reactor. A reaction is then initiated by allowing the autocatalyst species to enter and to flow through the reaction region with a constant velocity. The structure of the permanent-form travelling waves supported by the system is considered and a solution obtained valid when the flow rate (of the autocatalyst) is very large. General properties of the corresponding initial-value problem (IVP) are derived and it is shown that the TWS are the only long-time solutions supported by the system. Finally, these results are complemented with numerical solutions of the IVP which confirm the analytical results and allow the influence of the parameters of the problem not accessible to the theoretical analysis to be determined. Satnoianu, R.A. aut Scott, S.K. aut Enthalten in Journal of engineering mathematics Kluwer Academic Publishers, 1967 33(1998), 2 vom: Feb., Seite 157-174 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:33 year:1998 number:2 month:02 pages:157-174 https://doi.org/10.1023/A:1004292023428 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_70 GBV_ILN_95 GBV_ILN_2006 GBV_ILN_2015 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4307 GBV_ILN_4309 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4700 AR 33 1998 2 02 157-174 |
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10.1023/A:1004292023428 doi (DE-627)OLC2074033648 (DE-He213)A:1004292023428-p DE-627 ger DE-627 rakwb eng 510 VZ Merkin, J.H. verfasserin aut Travelling waves in a differential flow reactor with simple autocatalytic kinetics 1998 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1998 Abstract A simple prototype model for a differential flow reactor in which the possible initiation and propagation of a reaction-diffusion-convection travelling-wave solution (TWS) in the simple isothermal autocatalytic system A+mB→ (m+1)B, rate $ kab^{m} $ (m ≥ 1) is studied with special attention being paid to the most realistic cases (m=1,2). The physical problem considered is such that the reactant A (present initially at uniform concentration) is immobilised within the reactor. A reaction is then initiated by allowing the autocatalyst species to enter and to flow through the reaction region with a constant velocity. The structure of the permanent-form travelling waves supported by the system is considered and a solution obtained valid when the flow rate (of the autocatalyst) is very large. General properties of the corresponding initial-value problem (IVP) are derived and it is shown that the TWS are the only long-time solutions supported by the system. Finally, these results are complemented with numerical solutions of the IVP which confirm the analytical results and allow the influence of the parameters of the problem not accessible to the theoretical analysis to be determined. Satnoianu, R.A. aut Scott, S.K. aut Enthalten in Journal of engineering mathematics Kluwer Academic Publishers, 1967 33(1998), 2 vom: Feb., Seite 157-174 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:33 year:1998 number:2 month:02 pages:157-174 https://doi.org/10.1023/A:1004292023428 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_70 GBV_ILN_95 GBV_ILN_2006 GBV_ILN_2015 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4307 GBV_ILN_4309 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4700 AR 33 1998 2 02 157-174 |
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10.1023/A:1004292023428 doi (DE-627)OLC2074033648 (DE-He213)A:1004292023428-p DE-627 ger DE-627 rakwb eng 510 VZ Merkin, J.H. verfasserin aut Travelling waves in a differential flow reactor with simple autocatalytic kinetics 1998 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1998 Abstract A simple prototype model for a differential flow reactor in which the possible initiation and propagation of a reaction-diffusion-convection travelling-wave solution (TWS) in the simple isothermal autocatalytic system A+mB→ (m+1)B, rate $ kab^{m} $ (m ≥ 1) is studied with special attention being paid to the most realistic cases (m=1,2). The physical problem considered is such that the reactant A (present initially at uniform concentration) is immobilised within the reactor. A reaction is then initiated by allowing the autocatalyst species to enter and to flow through the reaction region with a constant velocity. The structure of the permanent-form travelling waves supported by the system is considered and a solution obtained valid when the flow rate (of the autocatalyst) is very large. General properties of the corresponding initial-value problem (IVP) are derived and it is shown that the TWS are the only long-time solutions supported by the system. Finally, these results are complemented with numerical solutions of the IVP which confirm the analytical results and allow the influence of the parameters of the problem not accessible to the theoretical analysis to be determined. Satnoianu, R.A. aut Scott, S.K. aut Enthalten in Journal of engineering mathematics Kluwer Academic Publishers, 1967 33(1998), 2 vom: Feb., Seite 157-174 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:33 year:1998 number:2 month:02 pages:157-174 https://doi.org/10.1023/A:1004292023428 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_70 GBV_ILN_95 GBV_ILN_2006 GBV_ILN_2015 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4307 GBV_ILN_4309 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4700 AR 33 1998 2 02 157-174 |
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10.1023/A:1004292023428 doi (DE-627)OLC2074033648 (DE-He213)A:1004292023428-p DE-627 ger DE-627 rakwb eng 510 VZ Merkin, J.H. verfasserin aut Travelling waves in a differential flow reactor with simple autocatalytic kinetics 1998 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1998 Abstract A simple prototype model for a differential flow reactor in which the possible initiation and propagation of a reaction-diffusion-convection travelling-wave solution (TWS) in the simple isothermal autocatalytic system A+mB→ (m+1)B, rate $ kab^{m} $ (m ≥ 1) is studied with special attention being paid to the most realistic cases (m=1,2). The physical problem considered is such that the reactant A (present initially at uniform concentration) is immobilised within the reactor. A reaction is then initiated by allowing the autocatalyst species to enter and to flow through the reaction region with a constant velocity. The structure of the permanent-form travelling waves supported by the system is considered and a solution obtained valid when the flow rate (of the autocatalyst) is very large. General properties of the corresponding initial-value problem (IVP) are derived and it is shown that the TWS are the only long-time solutions supported by the system. Finally, these results are complemented with numerical solutions of the IVP which confirm the analytical results and allow the influence of the parameters of the problem not accessible to the theoretical analysis to be determined. Satnoianu, R.A. aut Scott, S.K. aut Enthalten in Journal of engineering mathematics Kluwer Academic Publishers, 1967 33(1998), 2 vom: Feb., Seite 157-174 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:33 year:1998 number:2 month:02 pages:157-174 https://doi.org/10.1023/A:1004292023428 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_70 GBV_ILN_95 GBV_ILN_2006 GBV_ILN_2015 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4307 GBV_ILN_4309 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4700 AR 33 1998 2 02 157-174 |
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Travelling waves in a differential flow reactor with simple autocatalytic kinetics |
| abstract |
Abstract A simple prototype model for a differential flow reactor in which the possible initiation and propagation of a reaction-diffusion-convection travelling-wave solution (TWS) in the simple isothermal autocatalytic system A+mB→ (m+1)B, rate $ kab^{m} $ (m ≥ 1) is studied with special attention being paid to the most realistic cases (m=1,2). The physical problem considered is such that the reactant A (present initially at uniform concentration) is immobilised within the reactor. A reaction is then initiated by allowing the autocatalyst species to enter and to flow through the reaction region with a constant velocity. The structure of the permanent-form travelling waves supported by the system is considered and a solution obtained valid when the flow rate (of the autocatalyst) is very large. General properties of the corresponding initial-value problem (IVP) are derived and it is shown that the TWS are the only long-time solutions supported by the system. Finally, these results are complemented with numerical solutions of the IVP which confirm the analytical results and allow the influence of the parameters of the problem not accessible to the theoretical analysis to be determined. © Kluwer Academic Publishers 1998 |
| abstractGer |
Abstract A simple prototype model for a differential flow reactor in which the possible initiation and propagation of a reaction-diffusion-convection travelling-wave solution (TWS) in the simple isothermal autocatalytic system A+mB→ (m+1)B, rate $ kab^{m} $ (m ≥ 1) is studied with special attention being paid to the most realistic cases (m=1,2). The physical problem considered is such that the reactant A (present initially at uniform concentration) is immobilised within the reactor. A reaction is then initiated by allowing the autocatalyst species to enter and to flow through the reaction region with a constant velocity. The structure of the permanent-form travelling waves supported by the system is considered and a solution obtained valid when the flow rate (of the autocatalyst) is very large. General properties of the corresponding initial-value problem (IVP) are derived and it is shown that the TWS are the only long-time solutions supported by the system. Finally, these results are complemented with numerical solutions of the IVP which confirm the analytical results and allow the influence of the parameters of the problem not accessible to the theoretical analysis to be determined. © Kluwer Academic Publishers 1998 |
| abstract_unstemmed |
Abstract A simple prototype model for a differential flow reactor in which the possible initiation and propagation of a reaction-diffusion-convection travelling-wave solution (TWS) in the simple isothermal autocatalytic system A+mB→ (m+1)B, rate $ kab^{m} $ (m ≥ 1) is studied with special attention being paid to the most realistic cases (m=1,2). The physical problem considered is such that the reactant A (present initially at uniform concentration) is immobilised within the reactor. A reaction is then initiated by allowing the autocatalyst species to enter and to flow through the reaction region with a constant velocity. The structure of the permanent-form travelling waves supported by the system is considered and a solution obtained valid when the flow rate (of the autocatalyst) is very large. General properties of the corresponding initial-value problem (IVP) are derived and it is shown that the TWS are the only long-time solutions supported by the system. Finally, these results are complemented with numerical solutions of the IVP which confirm the analytical results and allow the influence of the parameters of the problem not accessible to the theoretical analysis to be determined. © Kluwer Academic Publishers 1998 |
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| container_issue |
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| title_short |
Travelling waves in a differential flow reactor with simple autocatalytic kinetics |
| url |
https://doi.org/10.1023/A:1004292023428 |
| remote_bool |
false |
| author2 |
Satnoianu, R.A. Scott, S.K. |
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Satnoianu, R.A. Scott, S.K. |
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| doi_str |
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| up_date |
2024-07-03T20:39:47.774Z |
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