Thermal Diffusion and Diffusion Thermo Effects on the Viscous Fluid Flow with Heat and Mass Transfer through Porous Medium over a Shrinking Sheet
The motion of the viscous, incompressible fluid through a porous medium with heat and mass transfer over a shrinking sheet is investigated. The cross-diffusion effect between temperature and concentration is considered. This phenomenon is modulated mathematically by a set of partial differential equ...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/584534 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832553413161779200 |
|---|---|
| author | Nabil Eldabe Mahmoud Abu Zeid |
| author_facet | Nabil Eldabe Mahmoud Abu Zeid |
| author_sort | Nabil Eldabe |
| collection | DOAJ |
| description | The motion of the viscous, incompressible fluid through a porous medium with heat and mass transfer over a shrinking sheet is investigated. The cross-diffusion effect between temperature and concentration is considered. This phenomenon is modulated mathematically by a set of partial differential equations which govern the continuity, momentum, heat, and mass. These equations are transformed to a set of ordinary differential equations by using similarity solutions. The analytical solutions of these equations are obtained. The velocity, temperature, and concentration of the fluid as well as the heat and mass transfer with shear stress at the sheet are obtained as a function of the physical parameters of the problem. The effects of Prandtl number, mass transfer parameter, the wall shrinking parameter, the permeability parameter, and Dufour and Soret numbers on temperature and concentration are studied. Also, the effects of mass transfer parameter, permeability parameter, and shrinking strength on the velocity and shear stress are discussed. These effects are illustrated graphically through a set of figures. |
| format | Article |
| id | doaj-art-9aa03df050894d40b8e9b9076bdb5821 |
| 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-9aa03df050894d40b8e9b9076bdb58212025-02-03T05:54:06ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/584534584534Thermal Diffusion and Diffusion Thermo Effects on the Viscous Fluid Flow with Heat and Mass Transfer through Porous Medium over a Shrinking SheetNabil Eldabe0Mahmoud Abu Zeid1Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Heliopolis, Cairo, EgyptBasic Science Department, Higher Technological Institute, 10th of Ramadan City, EgyptThe motion of the viscous, incompressible fluid through a porous medium with heat and mass transfer over a shrinking sheet is investigated. The cross-diffusion effect between temperature and concentration is considered. This phenomenon is modulated mathematically by a set of partial differential equations which govern the continuity, momentum, heat, and mass. These equations are transformed to a set of ordinary differential equations by using similarity solutions. The analytical solutions of these equations are obtained. The velocity, temperature, and concentration of the fluid as well as the heat and mass transfer with shear stress at the sheet are obtained as a function of the physical parameters of the problem. The effects of Prandtl number, mass transfer parameter, the wall shrinking parameter, the permeability parameter, and Dufour and Soret numbers on temperature and concentration are studied. Also, the effects of mass transfer parameter, permeability parameter, and shrinking strength on the velocity and shear stress are discussed. These effects are illustrated graphically through a set of figures.http://dx.doi.org/10.1155/2013/584534 |
| spellingShingle | Nabil Eldabe Mahmoud Abu Zeid Thermal Diffusion and Diffusion Thermo Effects on the Viscous Fluid Flow with Heat and Mass Transfer through Porous Medium over a Shrinking Sheet Journal of Applied Mathematics |
| title | Thermal Diffusion and Diffusion Thermo Effects on the Viscous Fluid Flow with Heat and Mass Transfer through Porous Medium over a Shrinking Sheet |
| title_full | Thermal Diffusion and Diffusion Thermo Effects on the Viscous Fluid Flow with Heat and Mass Transfer through Porous Medium over a Shrinking Sheet |
| title_fullStr | Thermal Diffusion and Diffusion Thermo Effects on the Viscous Fluid Flow with Heat and Mass Transfer through Porous Medium over a Shrinking Sheet |
| title_full_unstemmed | Thermal Diffusion and Diffusion Thermo Effects on the Viscous Fluid Flow with Heat and Mass Transfer through Porous Medium over a Shrinking Sheet |
| title_short | Thermal Diffusion and Diffusion Thermo Effects on the Viscous Fluid Flow with Heat and Mass Transfer through Porous Medium over a Shrinking Sheet |
| title_sort | thermal diffusion and diffusion thermo effects on the viscous fluid flow with heat and mass transfer through porous medium over a shrinking sheet |
| url | http://dx.doi.org/10.1155/2013/584534 |
| work_keys_str_mv | AT nabileldabe thermaldiffusionanddiffusionthermoeffectsontheviscousfluidflowwithheatandmasstransferthroughporousmediumoverashrinkingsheet AT mahmoudabuzeid thermaldiffusionanddiffusionthermoeffectsontheviscousfluidflowwithheatandmasstransferthroughporousmediumoverashrinkingsheet |