Numerical simulation of the electroosmotic flow of the Carreau-Yasuda model in the rectangular microchannel

Ghorbani, Saeed; Emamian, Amin; Ellahi, R.; Sait, Sadiq M.

doi:10.1108/hff-07-2021-0495

Cited by 16 publications

(13 citation statements)

References 55 publications

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“…Three different problems related to the simulations presented by Arulanandam and Li (2000), and Yang et al (1998) for Newtonian flows and Ghorbani et al (2022) for non-Newtonian fluid in rectangular microchannels have been used to verify the present work. The problem is also numerically (FEM method) solved.…”

Section: Numerical Results and Discussionmentioning

confidence: 93%

“…Also, Figure 3(b) shows a comparison of the local Nusselt (Yang et al , 1998) number between the present solution and the results of Ghorbani et al (2022).…”

Section: Numerical Results and Discussionmentioning

confidence: 98%

“…To fill this gap, the transient heat transfer and EO flow of Carreau–Yasuda non-Newtonian fluid are investigated in a rectangular microchannel. The results of Ghorbani et al (2022) can be obtained as a special case of current study.…”

Section: Introductionmentioning

confidence: 98%

“…Ghorbani et al (2022) investigated the steady-state non-Newtonian flow through a rectangular microchannels. In their study, they investigated the effects of two-dimensional hydrodynamic and heat transfer numbers, including electrokinetic diameter, flow behavior index, Weissenberg number and Brinkman and Peclet numbers.…”

Section: Introductionmentioning

confidence: 99%

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Transient heat transfer and electro-osmotic flow of Carreau–Yasuda non-Newtonian fluid through a rectangular microchannel

Ghorbani

Emamian²,

Delouei³

et al. 2023

HFF

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Purpose The purpose of this study is to investigate heat transfer and electrokinetic non-Newtonian flow in a rectangular microchannel in the developed and transient states. Design/methodology/approach The Carreau–Yasuda model was considered to capture the non-Newtonian behavior of the fluid. The dimensionless forms of governing equations, including the continuity equation for the Carreau–Yasuda fluid, are numerically solved by considering the volumetric force term of electric current (DC). Findings The impact of pertinent parameters such as electrokinetic diameter (R), Brinkman number and Peclet number is examined graphically. It is observed that for increasing R, the bulk velocity decreases. The velocity of the bulk fluid reaches from the minimum to the maximum state across the microchannel over time. At the electrokinetic diameter of 400, the maximum velocity was obtained. Temperature graphs are plotted with changes in the various Brinkman number (0.1 < Br < 0.7) at different times, and local Nusselt are compared against changes in the Peclet number (0.1 < ℘e < 0.5). The results of this study show that by increasing the Brinkman number from 0.25 to 0.7, the temperature along the microchannel doubles. It was observed that increasing the Peclet number from 0.3 to 0.5 leads to 200% increment of the Nusselt number along the microchannel in some areas along the microchannel. The maximum temperature occurs at Brinkman number of 0.7 and the maximum value of the local Nusselt number is related to Peclet number 0.5. Over time in the transient mode, the Nusselt number also decreases along the microchannel. By the increasing of time, the temperature increases at given value of Brinkman, which is insignificant at Brinkman number of 0.1. The simulation results have been verified by Newtonian and non-Newtonian flows with adequate accuracy. Originality/value This study contributes to discovering the effects of transient flow of electroosmotic flow for non-Newtonian Carreau–Yasuda fluid and transient heat transfer through rectangular microchannel. To the authors’ knowledge, the said investigation is yet not available in existing literature.

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Section: Numerical Results and Discussionmentioning

confidence: 93%

“…Also, Figure 3(b) shows a comparison of the local Nusselt (Yang et al , 1998) number between the present solution and the results of Ghorbani et al (2022).…”

Section: Numerical Results and Discussionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Transient heat transfer and electro-osmotic flow of Carreau–Yasuda non-Newtonian fluid through a rectangular microchannel

Ghorbani

Emamian²,

Delouei³

et al. 2023

HFF

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“…Maxwell's equation is the theoretical basis for studying electromagnetic field [65]. The commonly used numerical methods for solving the problems of the electromagnetic field are the finite element method [66] and finite difference method [67]. Both of the two methods are based on meshing, but the meshing of the finite element method is more flexible and better adapt to the electromagnetic field with different distributions and tortuous shapes of the boundary.…”

Section: Magnetic Field Calculationmentioning

confidence: 99%

Theory analyses and applications of magnetic fluids in sealing

et al. 2023

Friction

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Magnetic fluids are the suspensions composed of magnetic nanoparticles, surfactants, and non-magnetic carrier liquids. Magnetic fluids are widely used in various fields, especially in sealing, because of their excellent features, including rapid magnetic response, flexible flow ability, tunable magneto-viscous effect, and reliable self-repairing capability. Here, we provide an in-depth, comprehensive insight into the theoretical analyses and diverse applications of magnetic fluids in sealing from three categories: static sealing, rotary sealing, and reciprocating sealing. We summarize the magnetic fluid sealing mechanisms and the development of magnetic fluid seals from 1960s to the present, particularly focusing on the recent progress of magnetic fluid seals. Although magnetic fluid sealing technology has been commercialized and industrialized, many difficulties still exist in its applications. At the end of the review, the present challenges and future prospects in the progress of magnetic fluid seals are also outlined.

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A general unsteady Fourier solution for orthotropic heat transfer in 2D functionally graded cylinders

Delouei,

Emamian,

Ghorbani

et al. 2023

Math Methods in App Sciences

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In the present research, an analytical solution is presented for unsteady heat transfer in a two‐dimensional finite cylinder made of functionally graded Materials (FGM). The governing equation, as an unsteady partial differential equation (PDE), is solved with general boundary conditions (BCs). The thermal conductivity coefficients are considered as a power function of the radius, both in the longitudinal and radial directions of the FGM cylinder. The presence of non‐constant coefficients and general BCs will confront us with the challenge of solving an unsteady problem with high complexity. A combination of Laplace transform, Fourier transform, and meromorphic functions are utilized to deal with this complex PDE. The Laplace transform was applied to transform to the frequency domain, the Sturm–Liouville equation was used to extract the orthogonal basis Fourier series, and the meromorphic function was deployed to transform back from the frequency domain to the time domain. Results were well verified against previous research works. Results showed that the proposed analytical solution could well predict the temperature distribution. The current analytical solution is useful to better understand unsteady heat transfer in FGMs.

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Numerical simulation of the electroosmotic flow of the Carreau-Yasuda model in the rectangular microchannel

Cited by 16 publications

References 55 publications

Transient heat transfer and electro-osmotic flow of Carreau–Yasuda non-Newtonian fluid through a rectangular microchannel

Transient heat transfer and electro-osmotic flow of Carreau–Yasuda non-Newtonian fluid through a rectangular microchannel

Theory analyses and applications of magnetic fluids in sealing

A general unsteady Fourier solution for orthotropic heat transfer in 2D functionally graded cylinders

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