Optimal Homotopy Asymptotic Method for a thin film flow of a pseudo plastic fluid draining down or lifting up on a cylindrical surface
In this study, the pseudo plastic model is used to obtain the solution for the steady thin film flow on the outer surface of long vertical cylinder for lifting and drainage problems. The non-linear governing equations subject to appropriate boundary conditions are solved analytically for ve...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Association of the Chemical Engineers of Serbia
2013-01-01
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| Series: | Chemical Industry and Chemical Engineering Quarterly |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/1451-9372/2013/1451-93721200086A.pdf |
| _version_ | 1818892015690055680 |
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| author | Alam Kamran M. Rahim M.T. Islam S. Sidiqqui A.M. |
| author_facet | Alam Kamran M. Rahim M.T. Islam S. Sidiqqui A.M. |
| author_sort | Alam Kamran M. |
| collection | DOAJ |
| description | In this study, the pseudo plastic model is used to obtain the solution for
the steady thin film flow on the outer surface of long vertical cylinder for
lifting and drainage problems. The non-linear governing equations subject to
appropriate boundary conditions are solved analytically for velocity profiles
by a modified homotopy perturbation method called the Optimal Homotopy
Asymptotic method. Expressions for the velocity profile, volume flux, average
velocity, shear stress on the cylinder, normal stress differences, force to
hold the vertical cylindrical surface in position, have been derived for both
the problems. For the non-Newtonian parameter β=0, we retrieve Newtonian
cases for both the problems. We also plotted and discussed the affect of the
Stokes number St, the non-Newtonian parameter β and the thickness δ of the
fluid film on the fluid velocities. |
| first_indexed | 2024-12-19T17:49:59Z |
| format | Article |
| id | doaj.art-75aadd0eea494c07b79de3ff23ec1a89 |
| institution | Directory Open Access Journal |
| issn | 1451-9372 2217-7434 |
| language | English |
| last_indexed | 2024-12-19T17:49:59Z |
| publishDate | 2013-01-01 |
| publisher | Association of the Chemical Engineers of Serbia |
| record_format | Article |
| series | Chemical Industry and Chemical Engineering Quarterly |
| spelling | doaj.art-75aadd0eea494c07b79de3ff23ec1a892022-12-21T20:11:57ZengAssociation of the Chemical Engineers of SerbiaChemical Industry and Chemical Engineering Quarterly1451-93722217-74342013-01-0119451352710.2298/CICEQ120328086A1451-93721200086AOptimal Homotopy Asymptotic Method for a thin film flow of a pseudo plastic fluid draining down or lifting up on a cylindrical surfaceAlam Kamran M.0Rahim M.T.1Islam S.2Sidiqqui A.M.3National University of Computer & Emerging Sciences, Department of Mathematics, Peshawar, PakistanNational University of Computer & Emerging Sciences, Department of Mathematics, Peshawar, PakistanAbdul Wali Khan University, Department of Mathematics, Mardan, PakistanPennsylvania State University, York Campus, York, USAIn this study, the pseudo plastic model is used to obtain the solution for the steady thin film flow on the outer surface of long vertical cylinder for lifting and drainage problems. The non-linear governing equations subject to appropriate boundary conditions are solved analytically for velocity profiles by a modified homotopy perturbation method called the Optimal Homotopy Asymptotic method. Expressions for the velocity profile, volume flux, average velocity, shear stress on the cylinder, normal stress differences, force to hold the vertical cylindrical surface in position, have been derived for both the problems. For the non-Newtonian parameter β=0, we retrieve Newtonian cases for both the problems. We also plotted and discussed the affect of the Stokes number St, the non-Newtonian parameter β and the thickness δ of the fluid film on the fluid velocities.http://www.doiserbia.nb.rs/img/doi/1451-9372/2013/1451-93721200086A.pdflifting and drainage problemspseudo plastic fluidOptimal Homotopy Asymptotic Method |
| spellingShingle | Alam Kamran M. Rahim M.T. Islam S. Sidiqqui A.M. Optimal Homotopy Asymptotic Method for a thin film flow of a pseudo plastic fluid draining down or lifting up on a cylindrical surface Chemical Industry and Chemical Engineering Quarterly lifting and drainage problems pseudo plastic fluid Optimal Homotopy Asymptotic Method |
| title | Optimal Homotopy Asymptotic Method for a thin film flow of a pseudo plastic fluid draining down or lifting up on a cylindrical surface |
| title_full | Optimal Homotopy Asymptotic Method for a thin film flow of a pseudo plastic fluid draining down or lifting up on a cylindrical surface |
| title_fullStr | Optimal Homotopy Asymptotic Method for a thin film flow of a pseudo plastic fluid draining down or lifting up on a cylindrical surface |
| title_full_unstemmed | Optimal Homotopy Asymptotic Method for a thin film flow of a pseudo plastic fluid draining down or lifting up on a cylindrical surface |
| title_short | Optimal Homotopy Asymptotic Method for a thin film flow of a pseudo plastic fluid draining down or lifting up on a cylindrical surface |
| title_sort | optimal homotopy asymptotic method for a thin film flow of a pseudo plastic fluid draining down or lifting up on a cylindrical surface |
| topic | lifting and drainage problems pseudo plastic fluid Optimal Homotopy Asymptotic Method |
| url | http://www.doiserbia.nb.rs/img/doi/1451-9372/2013/1451-93721200086A.pdf |
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