Han, S., Zheng, L., Zhang, X. (2016). Slip effects on a generalized Burgers’ fluid flow between two side walls with fractional derivative. test, 24(1), 130-137. doi: 10.1016/j.joems.2014.10.004
Shihao Han; Liancun Zheng; Xinxin Zhang. "Slip effects on a generalized Burgers’ fluid flow between two side walls with fractional derivative". test, 24, 1, 2016, 130-137. doi: 10.1016/j.joems.2014.10.004
Han, S., Zheng, L., Zhang, X. (2016). 'Slip effects on a generalized Burgers’ fluid flow between two side walls with fractional derivative', test, 24(1), pp. 130-137. doi: 10.1016/j.joems.2014.10.004
Han, S., Zheng, L., Zhang, X. Slip effects on a generalized Burgers’ fluid flow between two side walls with fractional derivative. test, 2016; 24(1): 130-137. doi: 10.1016/j.joems.2014.10.004

Slip effects on a generalized Burgers’ fluid flow between two side walls with fractional derivative

Journal of the Egyptian Mathematical Society
Volume 24, Issue 1, 2016, Pages 130-137    PDF (2.78 M)
DOI: 10.1016/j.joems.2014.10.004
Authors
Shihao Han1; Liancun Zheng1; Xinxin Zhang2
1School of Mathematics and Physics, University of Science and Technology Beijing, 30 Xueyuan Road, Haidian District, Beijing 100083, China
2School of Mechanical Engineering, University of Science and Technology Beijing, 30 Xueyuan Road, Haidian District, Beijing 100083, China
Abstract
This paper presents a research for the 3D flow of a generalized Burgers’ fluid between
two side walls generated by an exponential accelerating plate and a constant pressure gradient,
where the no-slip assumption between the exponential accelerating plate and the Burgers’ fluid is
no longer valid. The governing equations of the generalized Burgers’ fluid flow are established by
using the fractional calculus approach. Exact analytic solutions for the 3D flow are established
by employing the Laplace transform and the finite Fourier sine transform. Furthermore, some
3D and 2D figures for the fluid velocity and shear stress are plotted to analyze and discuss the
effects of various parameters
Keywords
Generalized Burgers’ fluid; Fractional calculus; Pressure gradient; Slip boundary
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