An Analytical Solution for Effect of Magnetic Field and Initial Stress on an Infinite Generalized Thermoelastic Rotating Nonhomogeneous Diffusion Medium
The problem of generalized magneto-thermoelastic diffusion in an infinite rotating nonhomogeneity medium subjected to certain boundary conditions is studied. The chemical potential is also assumed to be a known function of time at the boundary of the cavity. The analytical expressions for the displa...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/284646 |
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| author | S. R. Mahmoud |
| author_facet | S. R. Mahmoud |
| author_sort | S. R. Mahmoud |
| collection | DOAJ |
| description | The problem of generalized magneto-thermoelastic diffusion in an infinite rotating nonhomogeneity medium subjected to certain boundary conditions is studied. The chemical potential is also assumed to be a known function of time at the boundary of the cavity. The analytical expressions for the displacements, stresses, temperature, concentration, and chemical potential are obtained. Comparison was made between the results obtained in the presence and absence of diffusion. The results indicate that the effect of nonhomogeneity, rotation, magnetic field, relaxation time, and diffusion is very pronounced. |
| format | Article |
| id | doaj-art-a2f060885ef24ff39e540fcecee46b95 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a2f060885ef24ff39e540fcecee46b952025-02-03T06:00:42ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/284646284646An Analytical Solution for Effect of Magnetic Field and Initial Stress on an Infinite Generalized Thermoelastic Rotating Nonhomogeneous Diffusion MediumS. R. Mahmoud0Mathematics Department, Science Faculty, King Abdulaziz University, Jeddah 21589, Saudi ArabiaThe problem of generalized magneto-thermoelastic diffusion in an infinite rotating nonhomogeneity medium subjected to certain boundary conditions is studied. The chemical potential is also assumed to be a known function of time at the boundary of the cavity. The analytical expressions for the displacements, stresses, temperature, concentration, and chemical potential are obtained. Comparison was made between the results obtained in the presence and absence of diffusion. The results indicate that the effect of nonhomogeneity, rotation, magnetic field, relaxation time, and diffusion is very pronounced.http://dx.doi.org/10.1155/2013/284646 |
| spellingShingle | S. R. Mahmoud An Analytical Solution for Effect of Magnetic Field and Initial Stress on an Infinite Generalized Thermoelastic Rotating Nonhomogeneous Diffusion Medium Abstract and Applied Analysis |
| title | An Analytical Solution for Effect of Magnetic Field and Initial Stress on an Infinite Generalized Thermoelastic Rotating Nonhomogeneous Diffusion Medium |
| title_full | An Analytical Solution for Effect of Magnetic Field and Initial Stress on an Infinite Generalized Thermoelastic Rotating Nonhomogeneous Diffusion Medium |
| title_fullStr | An Analytical Solution for Effect of Magnetic Field and Initial Stress on an Infinite Generalized Thermoelastic Rotating Nonhomogeneous Diffusion Medium |
| title_full_unstemmed | An Analytical Solution for Effect of Magnetic Field and Initial Stress on an Infinite Generalized Thermoelastic Rotating Nonhomogeneous Diffusion Medium |
| title_short | An Analytical Solution for Effect of Magnetic Field and Initial Stress on an Infinite Generalized Thermoelastic Rotating Nonhomogeneous Diffusion Medium |
| title_sort | analytical solution for effect of magnetic field and initial stress on an infinite generalized thermoelastic rotating nonhomogeneous diffusion medium |
| url | http://dx.doi.org/10.1155/2013/284646 |
| work_keys_str_mv | AT srmahmoud ananalyticalsolutionforeffectofmagneticfieldandinitialstressonaninfinitegeneralizedthermoelasticrotatingnonhomogeneousdiffusionmedium AT srmahmoud analyticalsolutionforeffectofmagneticfieldandinitialstressonaninfinitegeneralizedthermoelasticrotatingnonhomogeneousdiffusionmedium |