| The Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative model | |
| Shen, F.; Tan, W. C.; Zhao, Y. H.; Masuoka, T.; 北京8701信箱 | |
| Department | 空间天气学国家重点实验室 |
| Source Publication | Nonlinear Analysis-Real World Applications
 |
| 2006 | |
| Volume | 7Issue:5Pages:1072-1080 |
| ISSN | 1468-1218 |
| Language | 英语 |
| Keyword | Generalized Second Grade Fluid Fractional Calculus Rayleigh-stokes Problem Heat Transfer Porous Half-space 2 Parallel Plates 2nd-order Fluid Maxwell Model Viscoelastic Fluid Unsteady Flows Motion |
| Abstract | The Rayleigh-Stokes problem for a generalized second grade fluid subject to a flow on a heated plate and within a heated edge was investigated. For description of such a viscoelastic fluid, fractional calculus approach in the constitutive relationship model was used. Exact solutions of the velocity and temperature fields were obtained using the Fourier sine transform and the fractional Laplace transform. The well-known solutions of the Stokes' first problem for a viscous Newtonian fluid, as well as those corresponding to a second grade fluid, appear in limiting cases of our results. |
| Indexed By | SCI |
| Funding Project | 中国科学院空间科学与应用研究中心 |
| Document Type | 期刊论文 |
| Identifier | http://ir.nssc.ac.cn/handle/122/1041 |
| Collection | 空间科学部 |
| Corresponding Author | 北京8701信箱 |
| Recommended Citation GB/T 7714 | Shen, F.,Tan, W. C.,Zhao, Y. H.,et al. The Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative model[J]. Nonlinear Analysis-Real World Applications,2006,7(5):1072-1080. |
| APA | Shen, F.,Tan, W. C.,Zhao, Y. H.,Masuoka, T.,&北京8701信箱.(2006).The Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative model.Nonlinear Analysis-Real World Applications,7(5),1072-1080. |
| MLA | Shen, F.,et al."The Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative model".Nonlinear Analysis-Real World Applications 7.5(2006):1072-1080. |
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| 2006751072.pdf（183KB） | 开放获取 | CC BY-NC-SA | View Download | |||
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