Oblique Stagnation Point Slip Flow of Unsteady Maxwell Fluid on an Oscillating-Rotating Disk in Porous Medium

BAI Yu; XIANG Junlin; ZHANG Yan; LIU Chunyan

doi:10.21656/1000-0887.450156

Volume 46 Issue 9

Sep. 2025

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Article Navigation > Applied Mathematics and Mechanics > 2025 > 46(9): 1196-1208

BAI Yu, XIANG Junlin, ZHANG Yan, LIU Chunyan. Oblique Stagnation Point Slip Flow of Unsteady Maxwell Fluid on an Oscillating-Rotating Disk in Porous Medium[J]. Applied Mathematics and Mechanics, 2025, 46(9): 1196-1208. doi: 10.21656/1000-0887.450156

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Oblique Stagnation Point Slip Flow of Unsteady Maxwell Fluid on an Oscillating-Rotating Disk in Porous Medium

doi: 10.21656/1000-0887.450156

BAI Yu^1,2,
XIANG Junlin^1,2,
ZHANG Yan^1,2,
LIU Chunyan^{1,2
,
,}

1. School of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, P.R.China;
2. Beijing Key Laboratory of Functional Materials for Building Structure and Environmental Remediation, Beijing 100044,P.R.China

Funds:

The National Science Foundation of China(12102032)

Received Date: 2024-05-27
Rev Recd Date: 2024-10-17

Available Online: 2025-10-17

Abstract

Abstract

The unsteady oblique stagnation point flow of the Maxwell fluid over a rotating disk with an oscillatory velocity in porous medium, was investigated. To accurately model the unsteady flow in the porous medium, an advanced formulation of the DarcyMaxwell constitutive relation was adopted, in view of the characteristics of the oblique stagnation flow. Furthermore, the slip effect of the fluid was considered, and the pressure term was modified through solution of related ordinary differential equations. Then, the similarity transformation was employed, to change the governing equations into a coupled set of dimensionless partial differential equations. With the homotopy analysis method, an approximate analytical solution to the problem was obtained for the first time. Finally, comprehensive visualizations of the flow dynamics were presented, including 2D streamlines varying with the disk rotational speed and 3D streamlines under varying inclination parameters. Additionally, velocity profiles over time for different amplitudes were plotted, and graphs illustrating the intricate dependence of the velocity on various parameters were provided. The results show that, the augmentation of the Deborah number magnifies the centrifugal force effect and accelerates the flow. The growth of the Darcy parameter causes a concomitant rise of porosity and a higher flow velocity. The increase of the slip parameter, on the one hand, leads to a reduction in the impedance exerted by the wall to the fluid in its vicinity, resulting in an acceleration of the flow, on the other hand, mitigates the impact of centrifugal force on the fluid farther away from the wall, consequently inducing a deceleration of the flow. The research enhances the understanding of the oblique stagnation flow phenomena and provides a foundation for further research in related fields such as spin coating and thinfilm preparation.
- Maxwell fluid,
- porous media,
- oscillatingrotating disk,
- oblique stagnation flow,
- homotopy analysis method

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References(32)

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