The function of relaxation and retardation phenomena on time-dependent natural convective and oscillatory flowing of dissipative Oldroyd-B fluid via an infinite vertical plate with fixed suction
Constant suction phenomenon has been executed in free convective Oldroyd-B material in an oscillatory flow mode over infinite vertical porous plate. For heat transfer, this study includes the influence of heat dissipation. The resulting governing equations are transferred into a set of dimensionless...
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| Format: | Article |
| Language: | English |
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Elsevier
2023-12-01
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| Series: | Partial Differential Equations in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818123000621 |
| _version_ | 1797390352509829120 |
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| author | K. Shravani M. Sunder Ram MD. Shamshuddin S.O. Salawu |
| author_facet | K. Shravani M. Sunder Ram MD. Shamshuddin S.O. Salawu |
| author_sort | K. Shravani |
| collection | DOAJ |
| description | Constant suction phenomenon has been executed in free convective Oldroyd-B material in an oscillatory flow mode over infinite vertical porous plate. For heat transfer, this study includes the influence of heat dissipation. The resulting governing equations are transferred into a set of dimensionless form of coupled-ordinary differential equations with appropriate non-dimensional variables. MAPLE code is developed for the regular perturbation method and executed to solve the set of non-dimensional couple-ordinary derivative equations. The impact of different embedded parameters on the mean, fluctuating, transient velocities and temperatures on the Oldroyd-B fluid have been discussed and depicted in graphical forms. The influence of some physical terms on the plate mean friction and plate heat mean gradient are computed and demonstrated in a tabular form. The attained results show that as an increase in relaxation time, greater amplitude of temperature fluctuations is observed. Remarkable enhancement is observed in all the parameters (Grashof, Prandtl and Eckert numbers) for transient temperature profiles. |
| first_indexed | 2024-03-08T23:10:28Z |
| format | Article |
| id | doaj.art-7fcd3d2893014b0aa770ee3e8c92bd35 |
| institution | Directory Open Access Journal |
| issn | 2666-8181 |
| language | English |
| last_indexed | 2024-03-08T23:10:28Z |
| publishDate | 2023-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj.art-7fcd3d2893014b0aa770ee3e8c92bd352023-12-15T07:26:45ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812023-12-018100549The function of relaxation and retardation phenomena on time-dependent natural convective and oscillatory flowing of dissipative Oldroyd-B fluid via an infinite vertical plate with fixed suctionK. Shravani0M. Sunder Ram1MD. Shamshuddin2S.O. Salawu3Department of Mathematics and Statistics, Chaitanya Deemed to Be University, Kishanpura, Warangal 506001, Telangana, IndiaDepartment of Mathematics and Statistics, Chaitanya Deemed to Be University, Kishanpura, Warangal 506001, Telangana, India; Corresponding author.Department of Computer Science and Artificial Intelligence (Mathematics), SR University, Warangal 506371, Telangana, IndiaDepartment of Mathematics, Bowen University, Iwo, NigeriaConstant suction phenomenon has been executed in free convective Oldroyd-B material in an oscillatory flow mode over infinite vertical porous plate. For heat transfer, this study includes the influence of heat dissipation. The resulting governing equations are transferred into a set of dimensionless form of coupled-ordinary differential equations with appropriate non-dimensional variables. MAPLE code is developed for the regular perturbation method and executed to solve the set of non-dimensional couple-ordinary derivative equations. The impact of different embedded parameters on the mean, fluctuating, transient velocities and temperatures on the Oldroyd-B fluid have been discussed and depicted in graphical forms. The influence of some physical terms on the plate mean friction and plate heat mean gradient are computed and demonstrated in a tabular form. The attained results show that as an increase in relaxation time, greater amplitude of temperature fluctuations is observed. Remarkable enhancement is observed in all the parameters (Grashof, Prandtl and Eckert numbers) for transient temperature profiles.http://www.sciencedirect.com/science/article/pii/S2666818123000621Heat dissipationOldroyd-B fluidSuctionOscillatory flowPerturbation method |
| spellingShingle | K. Shravani M. Sunder Ram MD. Shamshuddin S.O. Salawu The function of relaxation and retardation phenomena on time-dependent natural convective and oscillatory flowing of dissipative Oldroyd-B fluid via an infinite vertical plate with fixed suction Partial Differential Equations in Applied Mathematics Heat dissipation Oldroyd-B fluid Suction Oscillatory flow Perturbation method |
| title | The function of relaxation and retardation phenomena on time-dependent natural convective and oscillatory flowing of dissipative Oldroyd-B fluid via an infinite vertical plate with fixed suction |
| title_full | The function of relaxation and retardation phenomena on time-dependent natural convective and oscillatory flowing of dissipative Oldroyd-B fluid via an infinite vertical plate with fixed suction |
| title_fullStr | The function of relaxation and retardation phenomena on time-dependent natural convective and oscillatory flowing of dissipative Oldroyd-B fluid via an infinite vertical plate with fixed suction |
| title_full_unstemmed | The function of relaxation and retardation phenomena on time-dependent natural convective and oscillatory flowing of dissipative Oldroyd-B fluid via an infinite vertical plate with fixed suction |
| title_short | The function of relaxation and retardation phenomena on time-dependent natural convective and oscillatory flowing of dissipative Oldroyd-B fluid via an infinite vertical plate with fixed suction |
| title_sort | function of relaxation and retardation phenomena on time dependent natural convective and oscillatory flowing of dissipative oldroyd b fluid via an infinite vertical plate with fixed suction |
| topic | Heat dissipation Oldroyd-B fluid Suction Oscillatory flow Perturbation method |
| url | http://www.sciencedirect.com/science/article/pii/S2666818123000621 |
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