Similarity Solution for High Weissenberg Number Flow of Upper-Convected Maxwell Fluid on a Linearly Stretching Sheet
High Weissenberg boundary layer flow of viscoelastic fluids on a stretching surface has been studied. The flow is considered to be steady, low inertial, and two-dimensional. Upon proper scaling and by means of an exact similarity transformation, the nonlinear momentum and constitutive equations of e...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Engineering |
| Online Access: | http://dx.doi.org/10.1155/2016/9718786 |
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| author | Meysam Mohamadali Nariman Ashrafi |
| author_facet | Meysam Mohamadali Nariman Ashrafi |
| author_sort | Meysam Mohamadali |
| collection | DOAJ |
| description | High Weissenberg boundary layer flow of viscoelastic fluids on a stretching surface has been studied. The flow is considered to be steady, low inertial, and two-dimensional. Upon proper scaling and by means of an exact similarity transformation, the nonlinear momentum and constitutive equations of each layer transform into the respective system of highly nonlinear and coupled ordinary differential equations. Numerical solutions to the resulting boundary value problem are obtained using an efficient shooting technique in conjunction with a variable stepping method for different values of pressure gradients. It is observed that, unlike the Newtonian flows, in order to maintain a potential flow, normal stresses must inevitably develop. The velocity field and stresses distributions over plate are presented for difference values of pressure gradient and Weissenberg numbers. |
| format | Article |
| id | doaj-art-8b465bbbae6543f3b69edb0560c585ab |
| institution | Kabale University |
| issn | 2314-4904 2314-4912 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Engineering |
| spelling | doaj-art-8b465bbbae6543f3b69edb0560c585ab2025-02-03T01:09:28ZengWileyJournal of Engineering2314-49042314-49122016-01-01201610.1155/2016/97187869718786Similarity Solution for High Weissenberg Number Flow of Upper-Convected Maxwell Fluid on a Linearly Stretching SheetMeysam Mohamadali0Nariman Ashrafi1Young Researchers and Elites Club, Science and Research Branch, Islamic Azad University, Tehran, IranYoung Researchers and Elites Club, Science and Research Branch, Islamic Azad University, Tehran, IranHigh Weissenberg boundary layer flow of viscoelastic fluids on a stretching surface has been studied. The flow is considered to be steady, low inertial, and two-dimensional. Upon proper scaling and by means of an exact similarity transformation, the nonlinear momentum and constitutive equations of each layer transform into the respective system of highly nonlinear and coupled ordinary differential equations. Numerical solutions to the resulting boundary value problem are obtained using an efficient shooting technique in conjunction with a variable stepping method for different values of pressure gradients. It is observed that, unlike the Newtonian flows, in order to maintain a potential flow, normal stresses must inevitably develop. The velocity field and stresses distributions over plate are presented for difference values of pressure gradient and Weissenberg numbers.http://dx.doi.org/10.1155/2016/9718786 |
| spellingShingle | Meysam Mohamadali Nariman Ashrafi Similarity Solution for High Weissenberg Number Flow of Upper-Convected Maxwell Fluid on a Linearly Stretching Sheet Journal of Engineering |
| title | Similarity Solution for High Weissenberg Number Flow of Upper-Convected Maxwell Fluid on a Linearly Stretching Sheet |
| title_full | Similarity Solution for High Weissenberg Number Flow of Upper-Convected Maxwell Fluid on a Linearly Stretching Sheet |
| title_fullStr | Similarity Solution for High Weissenberg Number Flow of Upper-Convected Maxwell Fluid on a Linearly Stretching Sheet |
| title_full_unstemmed | Similarity Solution for High Weissenberg Number Flow of Upper-Convected Maxwell Fluid on a Linearly Stretching Sheet |
| title_short | Similarity Solution for High Weissenberg Number Flow of Upper-Convected Maxwell Fluid on a Linearly Stretching Sheet |
| title_sort | similarity solution for high weissenberg number flow of upper convected maxwell fluid on a linearly stretching sheet |
| url | http://dx.doi.org/10.1155/2016/9718786 |
| work_keys_str_mv | AT meysammohamadali similaritysolutionforhighweissenbergnumberflowofupperconvectedmaxwellfluidonalinearlystretchingsheet AT narimanashrafi similaritysolutionforhighweissenbergnumberflowofupperconvectedmaxwellfluidonalinearlystretchingsheet |