工程科学学报2016，Vol.38Issue(7)：1002-1007,6.DOI:10.13374/j.issn2095-9389.2016.07.016
广义二阶流体的脉冲泊肃叶流动分析
Analysis of the impulse Poiseuille flow of generalized second grade fluid
摘要
Abstract
The impulse Poiseuille flow of generalized second grade fluid was discussed in this paper. Combining the Riemann-Li-ouville fractional constitutive equation of second grade fluid with the fractional momentum equation of incompressible fluid, a new gov-erning equation was established. The velocity analytical solution was obtained based on the Fourier sine transform and the fractional Laplace transform. The numerical simulation was performed by Stehfest algorithm method. The influences of various relevant parame-ters such as fractional derivative parameters and retardation time were elucidated through graphs. The results show that the velocity overshoot phenomenon mainly depends on the time fractional parameter of the momentum equation.关键词
广义二阶流体/脉冲/泊肃叶流动/拉普拉斯变换/傅里叶变换Key words
generalized second grade fluid/impulse/Poiseuille flow/Laplace transforms/Fourier transforms分类
数理科学引用本文复制引用
张艳,张敏,黄震..广义二阶流体的脉冲泊肃叶流动分析[J].工程科学学报,2016,38(7):1002-1007,6.基金项目
国家自然科学基金资助项目(21206009,21576023) （21206009,21576023）
北京建筑大学学术创新团队资助项目(21221214111) （21221214111）
