Drag and pressure fields for the MHD flow around a circular cylinder at intermediate Reynolds numbers
Steady incompressible flow around a circular cylinder in an external magnetic field that is aligned with fluid flow direction is studied for Re (Reynolds number) up to 40 and the interaction parameter in the range 0≤N≤15 (or 0≤M≤30), where M is the Hartmann number related to N by the relation M=2NRe...
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| Format: | Article |
| Language: | English |
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Wiley
2005-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/JAM.2005.183 |
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| author | T. V. S. Sekhar R. Sivakumar T. V. R. Ravi Kumar |
| author_facet | T. V. S. Sekhar R. Sivakumar T. V. R. Ravi Kumar |
| author_sort | T. V. S. Sekhar |
| collection | DOAJ |
| description | Steady incompressible flow around a circular cylinder in an
external magnetic field that is aligned with fluid flow direction
is studied for Re (Reynolds number) up to 40 and the
interaction parameter in the range 0≤N≤15 (or 0≤M≤30), where M is the Hartmann number related to N by the
relation M=2NRe, using finite difference method.
The pressure-Poisson equation is solved to find pressure fields in
the flow region. The multigrid method with defect correction
technique is used to achieve the second-order accurate solution of
complete nonlinear Navier-Stokes equations. It is found that the
boundary layer separation at rear stagnation point for Re=10
is suppressed completely when N<1 and it started growing again
when N≥9. For Re=20 and 40, the suppression is not
complete and in addition to that the rear separation bubble
started increasing when N≥3. The drag coefficient decreases
for low values of N(<0.1) and then increases with increase
of N. The pressure drag coefficient, total drag coefficient, and
pressure at rear stagnation point vary with N. It is also found that the upstream and downstream pressures on the surface of
the cylinder increase for low values of N(<0.1) and rear pressure inversion occurs with further increase of N. These results are in agreement with experimental findings. |
| format | Article |
| id | doaj-art-72f7b4ef260f4ca3be5a0493ba7ed07e |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-72f7b4ef260f4ca3be5a0493ba7ed07e2025-02-03T05:54:15ZengWileyJournal of Applied Mathematics1110-757X1687-00422005-01-012005318320310.1155/JAM.2005.183Drag and pressure fields for the MHD flow around a circular cylinder at intermediate Reynolds numbersT. V. S. Sekhar0R. Sivakumar1T. V. R. Ravi Kumar2Department of Mathematics, Pondicherry Engineering College, Pondicherry 605014, IndiaDepartment of Physics, Pondicherry Engineering College, Pondicherry 605014, IndiaDepartment of Applied Mathematics, Ideal College of Arts and Sciences, Kakinada 530003, IndiaSteady incompressible flow around a circular cylinder in an external magnetic field that is aligned with fluid flow direction is studied for Re (Reynolds number) up to 40 and the interaction parameter in the range 0≤N≤15 (or 0≤M≤30), where M is the Hartmann number related to N by the relation M=2NRe, using finite difference method. The pressure-Poisson equation is solved to find pressure fields in the flow region. The multigrid method with defect correction technique is used to achieve the second-order accurate solution of complete nonlinear Navier-Stokes equations. It is found that the boundary layer separation at rear stagnation point for Re=10 is suppressed completely when N<1 and it started growing again when N≥9. For Re=20 and 40, the suppression is not complete and in addition to that the rear separation bubble started increasing when N≥3. The drag coefficient decreases for low values of N(<0.1) and then increases with increase of N. The pressure drag coefficient, total drag coefficient, and pressure at rear stagnation point vary with N. It is also found that the upstream and downstream pressures on the surface of the cylinder increase for low values of N(<0.1) and rear pressure inversion occurs with further increase of N. These results are in agreement with experimental findings.http://dx.doi.org/10.1155/JAM.2005.183 |
| spellingShingle | T. V. S. Sekhar R. Sivakumar T. V. R. Ravi Kumar Drag and pressure fields for the MHD flow around a circular cylinder at intermediate Reynolds numbers Journal of Applied Mathematics |
| title | Drag and pressure fields for the MHD flow around a circular cylinder at intermediate Reynolds numbers |
| title_full | Drag and pressure fields for the MHD flow around a circular cylinder at intermediate Reynolds numbers |
| title_fullStr | Drag and pressure fields for the MHD flow around a circular cylinder at intermediate Reynolds numbers |
| title_full_unstemmed | Drag and pressure fields for the MHD flow around a circular cylinder at intermediate Reynolds numbers |
| title_short | Drag and pressure fields for the MHD flow around a circular cylinder at intermediate Reynolds numbers |
| title_sort | drag and pressure fields for the mhd flow around a circular cylinder at intermediate reynolds numbers |
| url | http://dx.doi.org/10.1155/JAM.2005.183 |
| work_keys_str_mv | AT tvssekhar dragandpressurefieldsforthemhdflowaroundacircularcylinderatintermediatereynoldsnumbers AT rsivakumar dragandpressurefieldsforthemhdflowaroundacircularcylinderatintermediatereynoldsnumbers AT tvrravikumar dragandpressurefieldsforthemhdflowaroundacircularcylinderatintermediatereynoldsnumbers |