MHD Flow with Hall Current and Ion-Slip Effects due to a Stretching Porous Disk
A partially ionized fluid is driven by a stretching disk, in the presence of a magnetic field that is strong enough to produce significant hall current and ion-slip effects. The limiting behavior of the flow is studied, as the magnetic field strength grows indefinitely. The flow variables are proper...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/638940 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832564801512931328 |
|---|---|
| author | Faiza M. N. El-Fayez |
| author_facet | Faiza M. N. El-Fayez |
| author_sort | Faiza M. N. El-Fayez |
| collection | DOAJ |
| description | A partially ionized fluid is driven by a stretching disk, in the presence of a magnetic field that is strong enough to produce significant hall current and ion-slip effects. The limiting behavior of the flow is studied, as the magnetic field strength grows indefinitely. The flow variables are properly scaled, and uniformly valid asymptotic expansions of the velocity components are obtained. The leading order approximations show sinusoidal behavior that is decaying exponentially, as we move away from the disk surface. The two-term expansions of the radial and azimuthal surface shear stress components, as well as the far field inflow speed, compare well with the corresponding finite difference solutions, even at moderate magnetic fields. The effect of mass transfer (suction or injection) through the disk is also considered. |
| format | Article |
| id | doaj-art-10ff63e4038145faa8ebae9141fff353 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-10ff63e4038145faa8ebae9141fff3532025-02-03T01:10:03ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/638940638940MHD Flow with Hall Current and Ion-Slip Effects due to a Stretching Porous DiskFaiza M. N. El-Fayez0Department of Mathematics, Princess Nora Bint Abdul Rahman University, P.O. Box 104502, Riyadh 11636, Saudi ArabiaA partially ionized fluid is driven by a stretching disk, in the presence of a magnetic field that is strong enough to produce significant hall current and ion-slip effects. The limiting behavior of the flow is studied, as the magnetic field strength grows indefinitely. The flow variables are properly scaled, and uniformly valid asymptotic expansions of the velocity components are obtained. The leading order approximations show sinusoidal behavior that is decaying exponentially, as we move away from the disk surface. The two-term expansions of the radial and azimuthal surface shear stress components, as well as the far field inflow speed, compare well with the corresponding finite difference solutions, even at moderate magnetic fields. The effect of mass transfer (suction or injection) through the disk is also considered.http://dx.doi.org/10.1155/2013/638940 |
| spellingShingle | Faiza M. N. El-Fayez MHD Flow with Hall Current and Ion-Slip Effects due to a Stretching Porous Disk Journal of Applied Mathematics |
| title | MHD Flow with Hall Current and Ion-Slip Effects due to a Stretching Porous Disk |
| title_full | MHD Flow with Hall Current and Ion-Slip Effects due to a Stretching Porous Disk |
| title_fullStr | MHD Flow with Hall Current and Ion-Slip Effects due to a Stretching Porous Disk |
| title_full_unstemmed | MHD Flow with Hall Current and Ion-Slip Effects due to a Stretching Porous Disk |
| title_short | MHD Flow with Hall Current and Ion-Slip Effects due to a Stretching Porous Disk |
| title_sort | mhd flow with hall current and ion slip effects due to a stretching porous disk |
| url | http://dx.doi.org/10.1155/2013/638940 |
| work_keys_str_mv | AT faizamnelfayez mhdflowwithhallcurrentandionslipeffectsduetoastretchingporousdisk |