Unsteady boundary layer flow over a permeable stretching/shrinking cylinder

In this study, the unsteady boundary layer flow over a stretching/shrinking cylinder immersed in nanofluid with the presence of suction effect is analyzed. The governing partial differential equations are converted to ordinary differential equations by introducing similarity transformation variables...

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Main Authors: Dzulkifli, Nor Fadhilah, Bachok, Norfifah, Yacob, Nor Azizah, Md. Arifin, Norihan, Rosali, Haliza, Pop, Ioan
Format: Article
Published: Akademia Baru Publishing 2021
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author Dzulkifli, Nor Fadhilah
Bachok, Norfifah
Yacob, Nor Azizah
Md. Arifin, Norihan
Rosali, Haliza
Pop, Ioan
author_facet Dzulkifli, Nor Fadhilah
Bachok, Norfifah
Yacob, Nor Azizah
Md. Arifin, Norihan
Rosali, Haliza
Pop, Ioan
author_sort Dzulkifli, Nor Fadhilah
collection UPM
description In this study, the unsteady boundary layer flow over a stretching/shrinking cylinder immersed in nanofluid with the presence of suction effect is analyzed. The governing partial differential equations are converted to ordinary differential equations by introducing similarity transformation variables. The shooting method is applied to solve the system where the numerical solutions are obtained and presented graphically. The study's objective is to investigate the effect of nanoparticle volume fraction, the unsteadiness parameter, the stretching/shrinking parameter on the velocity and temperature gradients. It is found that the dual solutions are obtained in a specific range of these parameters for both stretching and shrinking cylinders. Besides, a high volume of the nanoparticle in the base fluid increases the velocity gradient and decreases the temperature gradient at the surface. Also, increasing nanoparticle volume fraction in the base fluid expands the solution's range, which denotes the boundary layer separation from the surface has been delayed. The existence of dual solutions allows stability analysis performance by introducing a new dimensionless variable and is solved using bvp4c function in Matlab software. This phase obtains the smallest eigenvalue, showing that the first solution is stable and physically realizable while the second solution is not stable.
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institution Universiti Putra Malaysia
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spelling upm.eprints-934902023-01-12T08:04:11Z http://psasir.upm.edu.my/id/eprint/93490/ Unsteady boundary layer flow over a permeable stretching/shrinking cylinder Dzulkifli, Nor Fadhilah Bachok, Norfifah Yacob, Nor Azizah Md. Arifin, Norihan Rosali, Haliza Pop, Ioan In this study, the unsteady boundary layer flow over a stretching/shrinking cylinder immersed in nanofluid with the presence of suction effect is analyzed. The governing partial differential equations are converted to ordinary differential equations by introducing similarity transformation variables. The shooting method is applied to solve the system where the numerical solutions are obtained and presented graphically. The study's objective is to investigate the effect of nanoparticle volume fraction, the unsteadiness parameter, the stretching/shrinking parameter on the velocity and temperature gradients. It is found that the dual solutions are obtained in a specific range of these parameters for both stretching and shrinking cylinders. Besides, a high volume of the nanoparticle in the base fluid increases the velocity gradient and decreases the temperature gradient at the surface. Also, increasing nanoparticle volume fraction in the base fluid expands the solution's range, which denotes the boundary layer separation from the surface has been delayed. The existence of dual solutions allows stability analysis performance by introducing a new dimensionless variable and is solved using bvp4c function in Matlab software. This phase obtains the smallest eigenvalue, showing that the first solution is stable and physically realizable while the second solution is not stable. Akademia Baru Publishing 2021-08-05 Article PeerReviewed Dzulkifli, Nor Fadhilah and Bachok, Norfifah and Yacob, Nor Azizah and Md. Arifin, Norihan and Rosali, Haliza and Pop, Ioan (2021) Unsteady boundary layer flow over a permeable stretching/shrinking cylinder. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 85 (2). 24 - 32. ISSN 2289 - 7879 https://www.akademiabaru.com/submit/index.php/arfmts/article/view/3743 10.37934/arfmts.85.2.2432
spellingShingle Dzulkifli, Nor Fadhilah
Bachok, Norfifah
Yacob, Nor Azizah
Md. Arifin, Norihan
Rosali, Haliza
Pop, Ioan
Unsteady boundary layer flow over a permeable stretching/shrinking cylinder
title Unsteady boundary layer flow over a permeable stretching/shrinking cylinder
title_full Unsteady boundary layer flow over a permeable stretching/shrinking cylinder
title_fullStr Unsteady boundary layer flow over a permeable stretching/shrinking cylinder
title_full_unstemmed Unsteady boundary layer flow over a permeable stretching/shrinking cylinder
title_short Unsteady boundary layer flow over a permeable stretching/shrinking cylinder
title_sort unsteady boundary layer flow over a permeable stretching shrinking cylinder
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