Analytical and numerical study for oscillatory flow of viscoelastic fluid in a tube with isosceles right triangular cross section
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Yi Li
Abstract
A theoretical investigation is carried out to analyze the oscillatory flow of second-grade fluid under the periodic pressure gradient in a long tube of isosceles right triangular cross section in the present study. The analytical expressions for the velocity profile and phase difference are obtained. The numerical solutions are calculated by using the finite difference method with Crank–Nicolson (C–N) scheme. In comparison with the Newtonian fluid (λ = 0), the effects of retardation time, Deborah number and Womersley number on the velocity profile and phase difference are discussed numerically and graphically. For smaller Womersley number, the behavior of second-grade fluid is dominated by viscosity. For larger Womersley number α = 20, the flow becomes more difficult to be generated under periodic pressure gradient with increasing retardation time. Furthermore, the analytical expressions of the mean velocity amplitude and phase difference are given explicitly for discussing.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11672164
Award Identifier / Grant number: 12072177
Acknowledgments
This work was supported by the National Natural Science Foundation of China (Nos. 12072177, 11672164).
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Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: This work is funded by National Natural Science Foundation of China (Grant no. 11672164 and 12072177).
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
References
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Articles in the same Issue
- Frontmatter
- Dynamical Systems & Nonlinear Phenomena
- Positron nonextensivity effect on the propagation of dust ion acoustic Gardner waves
- Thermal entry flow problem for Giesekus fluid inside an axis-symmetric tube through isothermal wall condition: a comparative numerical study between exact and approximate solution
- Ion-acoustic solitary structures at the acoustic speed in a collisionless magnetized nonthermal dusty plasma
- Exact Beltrami flows in a spherical shell
- Hydrodynamics
- Insight into the dynamics of non-Newtonian carboxy methyl cellulose conveying CuO nanoparticles: significance of channel branch angle and pressure drop
- Analytical and numerical study for oscillatory flow of viscoelastic fluid in a tube with isosceles right triangular cross section
- Solid State Physics & Materials Science
- Numerical study of highly efficient tin-based perovskite solar cell with MoS2 hole transport layer
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