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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 PublicationNonlinear Analysis-Real World Applications
2006
Volume7Issue:5Pages:1072-1080
ISSN1468-1218
Language英语
KeywordGeneralized 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
AbstractThe 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 BySCI
Funding Project中国科学院空间科学与应用研究中心
Document Type期刊论文
Identifierhttp://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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