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| Unsteady stagnation point flow of fractional burgers fluid based on finite difference-spectral method |
| Received:November 27, 2022 Revised:February 03, 2023 |
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| DOI：10.7511/jslx20221127001 |
| KeyWord:unsteady stagnation-point flow fractional Burgers fluid L-2 algorithm finite difference-spectral method |
| Author | Institution |
| 白羽 |
北京建筑大学 理学院, 北京 ;建筑结构与环境修复功能材料北京市重点实验室, 北京 |
| 王欣 |
北京建筑大学 理学院, 北京 ;建筑结构与环境修复功能材料北京市重点实验室, 北京 |
| 张艳 |
北京建筑大学 理学院, 北京 ;建筑结构与环境修复功能材料北京市重点实验室, 北京 |
| 刘春燕 |
北京建筑大学 理学院, 北京 ;建筑结构与环境修复功能材料北京市重点实验室, 北京 |
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| Abstract: |
| Unsteady stagnation-point flow of fractional Burgers fluid towards a stretched plate was researched in this paper.Burgers fluid model introduced the fractional derivative,which could better simulate the flow process but increase complexity and solving difficulty of the model.Finite difference-spectral method solved the fractional Burgers fluid model for the first time in this paper,the discrete scheme constructed was simple and effective.Spectral method discretized space terms of the governing equations,finite difference combined with L-1 algorithm and L-2 algorithm separately discretized time terms of the governing equations,and two discrete schemes were given.Results show that velocity decreases near the plate whereas the opposite tendency appears far from plate with increment of the fractional derivative owing to the memory characteristic.In addition,a smaller Reynolds number intensifies fluid viscosity,which magnifies fluid velocity.The relaxation time parameter near the flat plate inhibits the velocity distribution and the relaxation time away from the plate promotes the fluid flow due to the relaxation characteristic. |
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