Wan Azmi, Wan Faezah and Mohamad, Ahmad Qushairi and Lim, Yeou Jiann and Shafie, Sharidan
(2021)
*Analytical solution of unsteady casson fluid flow through a vertical cylinder with slip velocity effect.*
Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 87
(1).
pp. 68-75.
ISSN 2289-7879

Full text not available from this repository.

Official URL: http://dx.doi.org/10.37934/arfmts.87.1.6875

## Abstract

Casson fluid is a non-Newtonian fluid with its unique fluid behaviour because it behaves like an elastic solid or liquid at a certain condition. Recently, there are several studies on unsteady Casson fluid flow through a cylindrical tube have been done by some researchers because it is related with the real-life applications such as blood flow in vessel tube, chemical and oil flow in pipelines and others. Therefore, the main purpose of the present study is to obtain analytical solutions for unsteady flow of Casson fluid pass through a cylinder with slip velocity effect at the boundary condition. Dimensional governing equations are converted into dimensionless forms by using the appropriate dimensionless variables. Dimensionless parameters are obtained through dimensionless process such as Casson fluid parameters. Then, the dimensionless equations of velocity with the associated initial and boundary conditions are solved by using Laplace transform with respect to time variable and finite Hankel transform of zero order with respect to the radial coordinate. Analytical solutions of velocity profile are obtained. The obtained analytical result for velocity is plotted graphically by using Maple software. Based on the obtained result, it can be observed that increasing in Casson parameter, time and slip velocity will lead to increment in fluid velocity. Lastly, Newtonian fluid velocity is uniform from the boundary to the center of cylinder while Casson fluid velocity is decreased when approaching to the center of cylinder. The present result is validated when the obtained analytical solution of velocity is compared with published result and found in a good agreement.

Item Type: | Article |
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Uncontrolled Keywords: | finite hankel transform, laplace transform, slip velocity |

Subjects: | Q Science > QA Mathematics |

Divisions: | Science |

ID Code: | 94787 |

Deposited By: | Yanti Mohd Shah |

Deposited On: | 29 Apr 2022 22:26 |

Last Modified: | 29 Apr 2022 22:26 |

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