A DRBEM solution for MHD pipe flow in a conducting medium
Numerical solutions are given for magnetohydrodynamic (MHD) pipe flow under the influence of a transverse magnetic field when the outside medium is also electrically conducting. Convection–diffusion-type MHD equations for inside the pipe are coupled with the Laplace equation defined in the exterior...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Han Aydın, S. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2014transfer abstract |
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| Schlagwörter: |
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| Umfang: |
10 |
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| Übergeordnetes Werk: |
Enthalten in: Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics - Hu, Xing ELSEVIER, 2015transfer abstract, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:259 ; year:2014 ; day:15 ; month:03 ; pages:720-729 ; extent:10 |
| Links: |
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| DOI / URN: |
10.1016/j.cam.2013.05.010 |
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| Katalog-ID: |
ELV028136551 |
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| 245 | 1 | 0 | |a A DRBEM solution for MHD pipe flow in a conducting medium |
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| 520 | |a Numerical solutions are given for magnetohydrodynamic (MHD) pipe flow under the influence of a transverse magnetic field when the outside medium is also electrically conducting. Convection–diffusion-type MHD equations for inside the pipe are coupled with the Laplace equation defined in the exterior region, and the continuity requirements for the induced magnetic fields are also coupled on the pipe wall. The most general problem of a conducting pipe wall with thickness, which also has magnetic induction generated by the effect of an external magnetic field, is also solved. The dual reciprocity boundary element method (DRBEM) is applied directly to the whole coupled equations with coupled boundary conditions at the pipe wall. Discretization with constant boundary elements is restricted to only the boundary of the pipe due to the regularity conditions at infinity. This eliminates the need for assuming an artificial boundary far away from the pipe, and then discretizing the region below it. Thus, the computational efficiency of the proposed numerical procedure lies in the solving of small sized systems, as compared to domain discretization methods. Computations are carried out for several values of the Reynolds number R e , the magnetic pressure R h of the fluid, and the magnetic Reynolds numbers R m 1 and R m 2 of the fluid and the outside medium, respectively. Exact solution of the problem of MHD pipe flow in an insulating medium validates the results of the numerical procedure. | ||
| 520 | |a Numerical solutions are given for magnetohydrodynamic (MHD) pipe flow under the influence of a transverse magnetic field when the outside medium is also electrically conducting. Convection–diffusion-type MHD equations for inside the pipe are coupled with the Laplace equation defined in the exterior region, and the continuity requirements for the induced magnetic fields are also coupled on the pipe wall. The most general problem of a conducting pipe wall with thickness, which also has magnetic induction generated by the effect of an external magnetic field, is also solved. The dual reciprocity boundary element method (DRBEM) is applied directly to the whole coupled equations with coupled boundary conditions at the pipe wall. Discretization with constant boundary elements is restricted to only the boundary of the pipe due to the regularity conditions at infinity. This eliminates the need for assuming an artificial boundary far away from the pipe, and then discretizing the region below it. Thus, the computational efficiency of the proposed numerical procedure lies in the solving of small sized systems, as compared to domain discretization methods. Computations are carried out for several values of the Reynolds number R e , the magnetic pressure R h of the fluid, and the magnetic Reynolds numbers R m 1 and R m 2 of the fluid and the outside medium, respectively. Exact solution of the problem of MHD pipe flow in an insulating medium validates the results of the numerical procedure. | ||
| 650 | 7 | |a MHD pipe flow |2 Elsevier | |
| 650 | 7 | |a DRBEM |2 Elsevier | |
| 650 | 7 | |a Conducting exterior medium |2 Elsevier | |
| 700 | 1 | |a Tezer-Sezgin, M. |4 oth | |
| 773 | 0 | 8 | |i Enthalten in |n North-Holland |a Hu, Xing ELSEVIER |t Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics |d 2015transfer abstract |g Amsterdam [u.a.] |w (DE-627)ELV013217658 |
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10.1016/j.cam.2013.05.010 doi GBVA2014012000018.pica (DE-627)ELV028136551 (ELSEVIER)S0377-0427(13)00273-2 DE-627 ger DE-627 rakwb eng 510 510 DE-600 670 VZ 540 VZ 630 VZ Han Aydın, S. verfasserin aut A DRBEM solution for MHD pipe flow in a conducting medium 2014transfer abstract 10 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Numerical solutions are given for magnetohydrodynamic (MHD) pipe flow under the influence of a transverse magnetic field when the outside medium is also electrically conducting. Convection–diffusion-type MHD equations for inside the pipe are coupled with the Laplace equation defined in the exterior region, and the continuity requirements for the induced magnetic fields are also coupled on the pipe wall. The most general problem of a conducting pipe wall with thickness, which also has magnetic induction generated by the effect of an external magnetic field, is also solved. The dual reciprocity boundary element method (DRBEM) is applied directly to the whole coupled equations with coupled boundary conditions at the pipe wall. Discretization with constant boundary elements is restricted to only the boundary of the pipe due to the regularity conditions at infinity. This eliminates the need for assuming an artificial boundary far away from the pipe, and then discretizing the region below it. Thus, the computational efficiency of the proposed numerical procedure lies in the solving of small sized systems, as compared to domain discretization methods. Computations are carried out for several values of the Reynolds number R e , the magnetic pressure R h of the fluid, and the magnetic Reynolds numbers R m 1 and R m 2 of the fluid and the outside medium, respectively. Exact solution of the problem of MHD pipe flow in an insulating medium validates the results of the numerical procedure. Numerical solutions are given for magnetohydrodynamic (MHD) pipe flow under the influence of a transverse magnetic field when the outside medium is also electrically conducting. Convection–diffusion-type MHD equations for inside the pipe are coupled with the Laplace equation defined in the exterior region, and the continuity requirements for the induced magnetic fields are also coupled on the pipe wall. The most general problem of a conducting pipe wall with thickness, which also has magnetic induction generated by the effect of an external magnetic field, is also solved. The dual reciprocity boundary element method (DRBEM) is applied directly to the whole coupled equations with coupled boundary conditions at the pipe wall. Discretization with constant boundary elements is restricted to only the boundary of the pipe due to the regularity conditions at infinity. This eliminates the need for assuming an artificial boundary far away from the pipe, and then discretizing the region below it. Thus, the computational efficiency of the proposed numerical procedure lies in the solving of small sized systems, as compared to domain discretization methods. Computations are carried out for several values of the Reynolds number R e , the magnetic pressure R h of the fluid, and the magnetic Reynolds numbers R m 1 and R m 2 of the fluid and the outside medium, respectively. Exact solution of the problem of MHD pipe flow in an insulating medium validates the results of the numerical procedure. MHD pipe flow Elsevier DRBEM Elsevier Conducting exterior medium Elsevier Tezer-Sezgin, M. oth Enthalten in North-Holland Hu, Xing ELSEVIER Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics 2015transfer abstract Amsterdam [u.a.] (DE-627)ELV013217658 volume:259 year:2014 day:15 month:03 pages:720-729 extent:10 https://doi.org/10.1016/j.cam.2013.05.010 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA AR 259 2014 15 0315 720-729 10 045F 510 |
| spelling |
10.1016/j.cam.2013.05.010 doi GBVA2014012000018.pica (DE-627)ELV028136551 (ELSEVIER)S0377-0427(13)00273-2 DE-627 ger DE-627 rakwb eng 510 510 DE-600 670 VZ 540 VZ 630 VZ Han Aydın, S. verfasserin aut A DRBEM solution for MHD pipe flow in a conducting medium 2014transfer abstract 10 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Numerical solutions are given for magnetohydrodynamic (MHD) pipe flow under the influence of a transverse magnetic field when the outside medium is also electrically conducting. Convection–diffusion-type MHD equations for inside the pipe are coupled with the Laplace equation defined in the exterior region, and the continuity requirements for the induced magnetic fields are also coupled on the pipe wall. The most general problem of a conducting pipe wall with thickness, which also has magnetic induction generated by the effect of an external magnetic field, is also solved. The dual reciprocity boundary element method (DRBEM) is applied directly to the whole coupled equations with coupled boundary conditions at the pipe wall. Discretization with constant boundary elements is restricted to only the boundary of the pipe due to the regularity conditions at infinity. This eliminates the need for assuming an artificial boundary far away from the pipe, and then discretizing the region below it. Thus, the computational efficiency of the proposed numerical procedure lies in the solving of small sized systems, as compared to domain discretization methods. Computations are carried out for several values of the Reynolds number R e , the magnetic pressure R h of the fluid, and the magnetic Reynolds numbers R m 1 and R m 2 of the fluid and the outside medium, respectively. Exact solution of the problem of MHD pipe flow in an insulating medium validates the results of the numerical procedure. Numerical solutions are given for magnetohydrodynamic (MHD) pipe flow under the influence of a transverse magnetic field when the outside medium is also electrically conducting. Convection–diffusion-type MHD equations for inside the pipe are coupled with the Laplace equation defined in the exterior region, and the continuity requirements for the induced magnetic fields are also coupled on the pipe wall. The most general problem of a conducting pipe wall with thickness, which also has magnetic induction generated by the effect of an external magnetic field, is also solved. The dual reciprocity boundary element method (DRBEM) is applied directly to the whole coupled equations with coupled boundary conditions at the pipe wall. Discretization with constant boundary elements is restricted to only the boundary of the pipe due to the regularity conditions at infinity. This eliminates the need for assuming an artificial boundary far away from the pipe, and then discretizing the region below it. Thus, the computational efficiency of the proposed numerical procedure lies in the solving of small sized systems, as compared to domain discretization methods. Computations are carried out for several values of the Reynolds number R e , the magnetic pressure R h of the fluid, and the magnetic Reynolds numbers R m 1 and R m 2 of the fluid and the outside medium, respectively. Exact solution of the problem of MHD pipe flow in an insulating medium validates the results of the numerical procedure. MHD pipe flow Elsevier DRBEM Elsevier Conducting exterior medium Elsevier Tezer-Sezgin, M. oth Enthalten in North-Holland Hu, Xing ELSEVIER Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics 2015transfer abstract Amsterdam [u.a.] (DE-627)ELV013217658 volume:259 year:2014 day:15 month:03 pages:720-729 extent:10 https://doi.org/10.1016/j.cam.2013.05.010 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA AR 259 2014 15 0315 720-729 10 045F 510 |
| allfields_unstemmed |
10.1016/j.cam.2013.05.010 doi GBVA2014012000018.pica (DE-627)ELV028136551 (ELSEVIER)S0377-0427(13)00273-2 DE-627 ger DE-627 rakwb eng 510 510 DE-600 670 VZ 540 VZ 630 VZ Han Aydın, S. verfasserin aut A DRBEM solution for MHD pipe flow in a conducting medium 2014transfer abstract 10 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Numerical solutions are given for magnetohydrodynamic (MHD) pipe flow under the influence of a transverse magnetic field when the outside medium is also electrically conducting. Convection–diffusion-type MHD equations for inside the pipe are coupled with the Laplace equation defined in the exterior region, and the continuity requirements for the induced magnetic fields are also coupled on the pipe wall. The most general problem of a conducting pipe wall with thickness, which also has magnetic induction generated by the effect of an external magnetic field, is also solved. The dual reciprocity boundary element method (DRBEM) is applied directly to the whole coupled equations with coupled boundary conditions at the pipe wall. Discretization with constant boundary elements is restricted to only the boundary of the pipe due to the regularity conditions at infinity. This eliminates the need for assuming an artificial boundary far away from the pipe, and then discretizing the region below it. Thus, the computational efficiency of the proposed numerical procedure lies in the solving of small sized systems, as compared to domain discretization methods. Computations are carried out for several values of the Reynolds number R e , the magnetic pressure R h of the fluid, and the magnetic Reynolds numbers R m 1 and R m 2 of the fluid and the outside medium, respectively. Exact solution of the problem of MHD pipe flow in an insulating medium validates the results of the numerical procedure. Numerical solutions are given for magnetohydrodynamic (MHD) pipe flow under the influence of a transverse magnetic field when the outside medium is also electrically conducting. Convection–diffusion-type MHD equations for inside the pipe are coupled with the Laplace equation defined in the exterior region, and the continuity requirements for the induced magnetic fields are also coupled on the pipe wall. The most general problem of a conducting pipe wall with thickness, which also has magnetic induction generated by the effect of an external magnetic field, is also solved. The dual reciprocity boundary element method (DRBEM) is applied directly to the whole coupled equations with coupled boundary conditions at the pipe wall. Discretization with constant boundary elements is restricted to only the boundary of the pipe due to the regularity conditions at infinity. This eliminates the need for assuming an artificial boundary far away from the pipe, and then discretizing the region below it. Thus, the computational efficiency of the proposed numerical procedure lies in the solving of small sized systems, as compared to domain discretization methods. Computations are carried out for several values of the Reynolds number R e , the magnetic pressure R h of the fluid, and the magnetic Reynolds numbers R m 1 and R m 2 of the fluid and the outside medium, respectively. Exact solution of the problem of MHD pipe flow in an insulating medium validates the results of the numerical procedure. MHD pipe flow Elsevier DRBEM Elsevier Conducting exterior medium Elsevier Tezer-Sezgin, M. oth Enthalten in North-Holland Hu, Xing ELSEVIER Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics 2015transfer abstract Amsterdam [u.a.] (DE-627)ELV013217658 volume:259 year:2014 day:15 month:03 pages:720-729 extent:10 https://doi.org/10.1016/j.cam.2013.05.010 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA AR 259 2014 15 0315 720-729 10 045F 510 |
| allfieldsGer |
10.1016/j.cam.2013.05.010 doi GBVA2014012000018.pica (DE-627)ELV028136551 (ELSEVIER)S0377-0427(13)00273-2 DE-627 ger DE-627 rakwb eng 510 510 DE-600 670 VZ 540 VZ 630 VZ Han Aydın, S. verfasserin aut A DRBEM solution for MHD pipe flow in a conducting medium 2014transfer abstract 10 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Numerical solutions are given for magnetohydrodynamic (MHD) pipe flow under the influence of a transverse magnetic field when the outside medium is also electrically conducting. Convection–diffusion-type MHD equations for inside the pipe are coupled with the Laplace equation defined in the exterior region, and the continuity requirements for the induced magnetic fields are also coupled on the pipe wall. The most general problem of a conducting pipe wall with thickness, which also has magnetic induction generated by the effect of an external magnetic field, is also solved. The dual reciprocity boundary element method (DRBEM) is applied directly to the whole coupled equations with coupled boundary conditions at the pipe wall. Discretization with constant boundary elements is restricted to only the boundary of the pipe due to the regularity conditions at infinity. This eliminates the need for assuming an artificial boundary far away from the pipe, and then discretizing the region below it. Thus, the computational efficiency of the proposed numerical procedure lies in the solving of small sized systems, as compared to domain discretization methods. Computations are carried out for several values of the Reynolds number R e , the magnetic pressure R h of the fluid, and the magnetic Reynolds numbers R m 1 and R m 2 of the fluid and the outside medium, respectively. Exact solution of the problem of MHD pipe flow in an insulating medium validates the results of the numerical procedure. Numerical solutions are given for magnetohydrodynamic (MHD) pipe flow under the influence of a transverse magnetic field when the outside medium is also electrically conducting. Convection–diffusion-type MHD equations for inside the pipe are coupled with the Laplace equation defined in the exterior region, and the continuity requirements for the induced magnetic fields are also coupled on the pipe wall. The most general problem of a conducting pipe wall with thickness, which also has magnetic induction generated by the effect of an external magnetic field, is also solved. The dual reciprocity boundary element method (DRBEM) is applied directly to the whole coupled equations with coupled boundary conditions at the pipe wall. Discretization with constant boundary elements is restricted to only the boundary of the pipe due to the regularity conditions at infinity. This eliminates the need for assuming an artificial boundary far away from the pipe, and then discretizing the region below it. Thus, the computational efficiency of the proposed numerical procedure lies in the solving of small sized systems, as compared to domain discretization methods. Computations are carried out for several values of the Reynolds number R e , the magnetic pressure R h of the fluid, and the magnetic Reynolds numbers R m 1 and R m 2 of the fluid and the outside medium, respectively. Exact solution of the problem of MHD pipe flow in an insulating medium validates the results of the numerical procedure. MHD pipe flow Elsevier DRBEM Elsevier Conducting exterior medium Elsevier Tezer-Sezgin, M. oth Enthalten in North-Holland Hu, Xing ELSEVIER Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics 2015transfer abstract Amsterdam [u.a.] (DE-627)ELV013217658 volume:259 year:2014 day:15 month:03 pages:720-729 extent:10 https://doi.org/10.1016/j.cam.2013.05.010 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA AR 259 2014 15 0315 720-729 10 045F 510 |
| allfieldsSound |
10.1016/j.cam.2013.05.010 doi GBVA2014012000018.pica (DE-627)ELV028136551 (ELSEVIER)S0377-0427(13)00273-2 DE-627 ger DE-627 rakwb eng 510 510 DE-600 670 VZ 540 VZ 630 VZ Han Aydın, S. verfasserin aut A DRBEM solution for MHD pipe flow in a conducting medium 2014transfer abstract 10 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Numerical solutions are given for magnetohydrodynamic (MHD) pipe flow under the influence of a transverse magnetic field when the outside medium is also electrically conducting. Convection–diffusion-type MHD equations for inside the pipe are coupled with the Laplace equation defined in the exterior region, and the continuity requirements for the induced magnetic fields are also coupled on the pipe wall. The most general problem of a conducting pipe wall with thickness, which also has magnetic induction generated by the effect of an external magnetic field, is also solved. The dual reciprocity boundary element method (DRBEM) is applied directly to the whole coupled equations with coupled boundary conditions at the pipe wall. Discretization with constant boundary elements is restricted to only the boundary of the pipe due to the regularity conditions at infinity. This eliminates the need for assuming an artificial boundary far away from the pipe, and then discretizing the region below it. Thus, the computational efficiency of the proposed numerical procedure lies in the solving of small sized systems, as compared to domain discretization methods. Computations are carried out for several values of the Reynolds number R e , the magnetic pressure R h of the fluid, and the magnetic Reynolds numbers R m 1 and R m 2 of the fluid and the outside medium, respectively. Exact solution of the problem of MHD pipe flow in an insulating medium validates the results of the numerical procedure. Numerical solutions are given for magnetohydrodynamic (MHD) pipe flow under the influence of a transverse magnetic field when the outside medium is also electrically conducting. Convection–diffusion-type MHD equations for inside the pipe are coupled with the Laplace equation defined in the exterior region, and the continuity requirements for the induced magnetic fields are also coupled on the pipe wall. The most general problem of a conducting pipe wall with thickness, which also has magnetic induction generated by the effect of an external magnetic field, is also solved. The dual reciprocity boundary element method (DRBEM) is applied directly to the whole coupled equations with coupled boundary conditions at the pipe wall. Discretization with constant boundary elements is restricted to only the boundary of the pipe due to the regularity conditions at infinity. This eliminates the need for assuming an artificial boundary far away from the pipe, and then discretizing the region below it. Thus, the computational efficiency of the proposed numerical procedure lies in the solving of small sized systems, as compared to domain discretization methods. Computations are carried out for several values of the Reynolds number R e , the magnetic pressure R h of the fluid, and the magnetic Reynolds numbers R m 1 and R m 2 of the fluid and the outside medium, respectively. Exact solution of the problem of MHD pipe flow in an insulating medium validates the results of the numerical procedure. MHD pipe flow Elsevier DRBEM Elsevier Conducting exterior medium Elsevier Tezer-Sezgin, M. oth Enthalten in North-Holland Hu, Xing ELSEVIER Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics 2015transfer abstract Amsterdam [u.a.] (DE-627)ELV013217658 volume:259 year:2014 day:15 month:03 pages:720-729 extent:10 https://doi.org/10.1016/j.cam.2013.05.010 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA AR 259 2014 15 0315 720-729 10 045F 510 |
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Enthalten in Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics Amsterdam [u.a.] volume:259 year:2014 day:15 month:03 pages:720-729 extent:10 |
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Enthalten in Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics Amsterdam [u.a.] volume:259 year:2014 day:15 month:03 pages:720-729 extent:10 |
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Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics |
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Convection–diffusion-type MHD equations for inside the pipe are coupled with the Laplace equation defined in the exterior region, and the continuity requirements for the induced magnetic fields are also coupled on the pipe wall. The most general problem of a conducting pipe wall with thickness, which also has magnetic induction generated by the effect of an external magnetic field, is also solved. The dual reciprocity boundary element method (DRBEM) is applied directly to the whole coupled equations with coupled boundary conditions at the pipe wall. Discretization with constant boundary elements is restricted to only the boundary of the pipe due to the regularity conditions at infinity. This eliminates the need for assuming an artificial boundary far away from the pipe, and then discretizing the region below it. Thus, the computational efficiency of the proposed numerical procedure lies in the solving of small sized systems, as compared to domain discretization methods. Computations are carried out for several values of the Reynolds number R e , the magnetic pressure R h of the fluid, and the magnetic Reynolds numbers R m 1 and R m 2 of the fluid and the outside medium, respectively. Exact solution of the problem of MHD pipe flow in an insulating medium validates the results of the numerical procedure.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Numerical solutions are given for magnetohydrodynamic (MHD) pipe flow under the influence of a transverse magnetic field when the outside medium is also electrically conducting. Convection–diffusion-type MHD equations for inside the pipe are coupled with the Laplace equation defined in the exterior region, and the continuity requirements for the induced magnetic fields are also coupled on the pipe wall. The most general problem of a conducting pipe wall with thickness, which also has magnetic induction generated by the effect of an external magnetic field, is also solved. The dual reciprocity boundary element method (DRBEM) is applied directly to the whole coupled equations with coupled boundary conditions at the pipe wall. Discretization with constant boundary elements is restricted to only the boundary of the pipe due to the regularity conditions at infinity. This eliminates the need for assuming an artificial boundary far away from the pipe, and then discretizing the region below it. Thus, the computational efficiency of the proposed numerical procedure lies in the solving of small sized systems, as compared to domain discretization methods. Computations are carried out for several values of the Reynolds number R e , the magnetic pressure R h of the fluid, and the magnetic Reynolds numbers R m 1 and R m 2 of the fluid and the outside medium, respectively. 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A DRBEM solution for MHD pipe flow in a conducting medium |
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Numerical solutions are given for magnetohydrodynamic (MHD) pipe flow under the influence of a transverse magnetic field when the outside medium is also electrically conducting. Convection–diffusion-type MHD equations for inside the pipe are coupled with the Laplace equation defined in the exterior region, and the continuity requirements for the induced magnetic fields are also coupled on the pipe wall. The most general problem of a conducting pipe wall with thickness, which also has magnetic induction generated by the effect of an external magnetic field, is also solved. The dual reciprocity boundary element method (DRBEM) is applied directly to the whole coupled equations with coupled boundary conditions at the pipe wall. Discretization with constant boundary elements is restricted to only the boundary of the pipe due to the regularity conditions at infinity. This eliminates the need for assuming an artificial boundary far away from the pipe, and then discretizing the region below it. Thus, the computational efficiency of the proposed numerical procedure lies in the solving of small sized systems, as compared to domain discretization methods. Computations are carried out for several values of the Reynolds number R e , the magnetic pressure R h of the fluid, and the magnetic Reynolds numbers R m 1 and R m 2 of the fluid and the outside medium, respectively. Exact solution of the problem of MHD pipe flow in an insulating medium validates the results of the numerical procedure. |
| abstractGer |
Numerical solutions are given for magnetohydrodynamic (MHD) pipe flow under the influence of a transverse magnetic field when the outside medium is also electrically conducting. Convection–diffusion-type MHD equations for inside the pipe are coupled with the Laplace equation defined in the exterior region, and the continuity requirements for the induced magnetic fields are also coupled on the pipe wall. The most general problem of a conducting pipe wall with thickness, which also has magnetic induction generated by the effect of an external magnetic field, is also solved. The dual reciprocity boundary element method (DRBEM) is applied directly to the whole coupled equations with coupled boundary conditions at the pipe wall. Discretization with constant boundary elements is restricted to only the boundary of the pipe due to the regularity conditions at infinity. This eliminates the need for assuming an artificial boundary far away from the pipe, and then discretizing the region below it. Thus, the computational efficiency of the proposed numerical procedure lies in the solving of small sized systems, as compared to domain discretization methods. Computations are carried out for several values of the Reynolds number R e , the magnetic pressure R h of the fluid, and the magnetic Reynolds numbers R m 1 and R m 2 of the fluid and the outside medium, respectively. Exact solution of the problem of MHD pipe flow in an insulating medium validates the results of the numerical procedure. |
| abstract_unstemmed |
Numerical solutions are given for magnetohydrodynamic (MHD) pipe flow under the influence of a transverse magnetic field when the outside medium is also electrically conducting. Convection–diffusion-type MHD equations for inside the pipe are coupled with the Laplace equation defined in the exterior region, and the continuity requirements for the induced magnetic fields are also coupled on the pipe wall. The most general problem of a conducting pipe wall with thickness, which also has magnetic induction generated by the effect of an external magnetic field, is also solved. The dual reciprocity boundary element method (DRBEM) is applied directly to the whole coupled equations with coupled boundary conditions at the pipe wall. Discretization with constant boundary elements is restricted to only the boundary of the pipe due to the regularity conditions at infinity. This eliminates the need for assuming an artificial boundary far away from the pipe, and then discretizing the region below it. Thus, the computational efficiency of the proposed numerical procedure lies in the solving of small sized systems, as compared to domain discretization methods. Computations are carried out for several values of the Reynolds number R e , the magnetic pressure R h of the fluid, and the magnetic Reynolds numbers R m 1 and R m 2 of the fluid and the outside medium, respectively. Exact solution of the problem of MHD pipe flow in an insulating medium validates the results of the numerical procedure. |
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A DRBEM solution for MHD pipe flow in a conducting medium |
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