Analytic solution of Stokes second problem for second-grade fluid
Using Laplace transformation and perturbation techniques, analytical solution is obtained for unsteady Stokes' second problem. Expressions for steady and transient solutions are explicitly determined. These solutions depend strongly upon the material parameter of second-grade fluid. It is shown...
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Hindawi Limited
2006-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/MPE/2006/72468 |
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doaj-fedf09921f9c44a986895eae537775fb2020-11-24T22:57:47ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472006-01-01200610.1155/MPE/2006/7246872468Analytic solution of Stokes second problem for second-grade fluidS. Asghar0S. Nadeem1K. Hanif2T. Hayat3Department of Mathematical Sciences, COMSATS Institute of Information Technology, Islamabad 44000, PakistanDepartment of Mathematics, Quaid-i-Azam University, Islamabad 45320, PakistanDepartment of Mathematics, Quaid-i-Azam University, Islamabad 45320, PakistanDepartment of Mathematics, Quaid-i-Azam University, Islamabad 45320, PakistanUsing Laplace transformation and perturbation techniques, analytical solution is obtained for unsteady Stokes' second problem. Expressions for steady and transient solutions are explicitly determined. These solutions depend strongly upon the material parameter of second-grade fluid. It is shown that phase velocity decreases by increasing material parameter of second-grade fluid.http://dx.doi.org/10.1155/MPE/2006/72468 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
S. Asghar S. Nadeem K. Hanif T. Hayat |
| spellingShingle |
S. Asghar S. Nadeem K. Hanif T. Hayat Analytic solution of Stokes second problem for second-grade fluid Mathematical Problems in Engineering |
| author_facet |
S. Asghar S. Nadeem K. Hanif T. Hayat |
| author_sort |
S. Asghar |
| title |
Analytic solution of Stokes second problem for second-grade fluid |
| title_short |
Analytic solution of Stokes second problem for second-grade fluid |
| title_full |
Analytic solution of Stokes second problem for second-grade fluid |
| title_fullStr |
Analytic solution of Stokes second problem for second-grade fluid |
| title_full_unstemmed |
Analytic solution of Stokes second problem for second-grade fluid |
| title_sort |
analytic solution of stokes second problem for second-grade fluid |
| publisher |
Hindawi Limited |
| series |
Mathematical Problems in Engineering |
| issn |
1024-123X 1563-5147 |
| publishDate |
2006-01-01 |
| description |
Using Laplace transformation and perturbation techniques,
analytical solution is obtained for unsteady Stokes' second
problem. Expressions for steady and transient solutions are
explicitly determined. These solutions depend strongly upon the
material parameter of second-grade fluid. It is shown that phase
velocity decreases by increasing material parameter of
second-grade fluid. |
| url |
http://dx.doi.org/10.1155/MPE/2006/72468 |
| work_keys_str_mv |
AT sasghar analyticsolutionofstokessecondproblemforsecondgradefluid AT snadeem analyticsolutionofstokessecondproblemforsecondgradefluid AT khanif analyticsolutionofstokessecondproblemforsecondgradefluid AT thayat analyticsolutionofstokessecondproblemforsecondgradefluid |
| _version_ |
1725649212063875072 |