期刊
IEEE ACCESS
卷 10, 期 -, 页码 26681-26692出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/ACCESS.2022.3148970
关键词
Fractal-fractional model; finite difference scheme; electro-osmotic phenomenon; exponential memory kernel; zeta potential
资金
- Center of Excellence in Theoretical and Computational Science (TaCS-CoE), King Mongkut's University of Technology Thonburi, Thailand (KMUTT) - National Science, Research and Innovation Fund (NSRF)
- National Science, Research and Innovation Fund (NSRF)
- King Mongkut's University of Technology North Bangkok [KMUTNB-FF-65-24]
In this study, the fractal-fractional operator with exponential kernel was used to investigate the flow of Casson fluid with the electro-osmotic phenomenon. The results show that the electro-kinetic parameter retards the fluid's motion, and the fractal-fractional order model has a larger memory effect due to the presence of the fractal order parameter.
In this work, an evolving definition of the fractal-fractional operator with exponential kernel was employed to examine Casson fluid flow with the electro-osmotic phenomenon. Electrically conducted Casson fluid flow with the effect of the electro-osmotic phenomenon has been assumed in a vertical microchannel. With the help of relative constitutive equations, the local mathematical model is formulated in terms of partially coupled partial differential equations along with appropriate physical initial and boundary conditions. The dimensional governing equations have been non-dimensional by using relative similarity variables to encounter the units and reduce the variables. The local mathematical model has been transformed to a fractal-fractional model by using a fractal-fractional derivative operator with exponential kernel and then analyze numerically with the discretization of finite difference (Crank-Nicolson) scheme. For an insight view of the proposed phenomena, various plots are drawn in respect of inserted parameter. From the graphical analysis, it has been observed that the electro-kinetic k parameter retards the fluid's motion. It is also worth noting that graphs for the fractal-fractional, fractional, and classical order parameters have been drawn. Due to the fractal order parameter, it was revealed that the fractal-fractional order model has a larger memory effect than the fractional-order and classical models.
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