Author(s): ZHANG Yan, ZHANG Min, HUANG Zhen, School of Science, Beijing University of Civil Engineering and Architecture
Pages: 1002-1007
Year: 2016 Issue:  7
Journal: Journal of University of Science and Technology Beijing
Keyword:  generalized second grade fluid; impulse; Poiseuille flow; Laplace transforms; Fourier transforms;
Abstract: The impulse Poiseuille flow of generalized second grade fluid was discussed in this paper. Combining the Riemann-Liouville fractional constitutive equation of second grade fluid with the fractional momentum equation of incompressible fluid,a new governing 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 parameters 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.