Effect of patterned hydrodynamic slip on electromagnetohydrodynamic flow in parallel plate microchannel*

Yang, Chuanyan; Jian, Yongjun

doi:10.1088/1674-1056/abab71

“…The magnitude of velocity and volumetric flow rate are found to be related to the Hartmann number Ha, the dimensionless electric field strength b, the pulse width ā, the time t , the relaxation time l ¯1 and the retardation time l ¯. 2 Considering the practical chemical and biological engineering needs, it is necessary to give some typical parameter values as follows [48,49]:…”

Section: Resultsmentioning

confidence: 99%

Pulse electromagnetic flow of Jeffrey fluid in parallel plate microchannels

Li,

Li

2023

Phys. Scr.

3

0

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This paper investigates the pulse electromagnetic flow of a Jeffery fluid between parallel plate microchannels, where the pulse is considered as a relatively stable and common rectangular pulse. The Laplace transform and residue theorem are employed to derive the analytical solutions for the velocity and volumetric flow rate of the pulse electromagnetic flow. Graphical representations depict the effects of several important parameters, including the Hartmann number , pulse width , relaxation time and retardation time on them. The study findings demonstrate that the Hartmann number plays a vital role in the investigation of pulse electromagnetic flow. During the first half-cycle of the pulse electric field, the magnitude of the velocity amplitude increases and then decreases with the Hartmann number . An interesting observation is that in the second half-cycle, larger Hartmann number values result in a decrease in velocity followed by a reverse increase. The profiles of velocity and volumetric flow rate exhibit oscillations over a relatively short period of time, then gradually reach a stable state with time and display periodic variation characteristics. Moreover, a larger pulse width leads to a longer variation period and more stable profiles of velocity and volumetric flow rate. For smaller Hartmann numbers , the magnitude of the volumetric flow rate amplitude grows with the relaxation time and reduces with the retardation time . However, as the Hartmann number increases, the influence of relaxation time and retardation time on the volumetric flow rate becomes significantly weakened, especially the retardation time .

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“…In order to investigate the accuracy of numerical code in a pure electroosmotic flow inside a square microchannel, study of Deng et al [36] is utilized. According to Figure 4 , for both values of dimensionless parameters of Debye-Hückel ( 20   and 100…”

Section: -2 Validationmentioning

confidence: 99%

“…They concluded that in the electroosmotic flow, applying lateral electric field and transverse magnetic field causes creation of maximum possible flow rate for each Hartmann number and consequently, the increment of Hartmann number leads to reduction in flow velocity. Yang and Jian [20] studied a fully developed EMHD flow through the microchannel analytically and numerically. They used slip patterned boundary conditions with perturbation techniques under the assumption of small Reynolds number for analytical solution, and finite-difference method for numerical solution.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of electroosmotic flow in a rectangular microchannel with use of magnetic and electric fields

Saghafian,

Seyedzadeh,

Moradmand

2023

Scientia Iranica

12

0

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Pumping fluid is one of the crucial parts of any microfluidic system. Using electric and magnetic fields as a substitute for moving parts can have many advantages. In this study hydrodynamic and heat transfer characteristics of electroosmotic flow under influence of lateral electric and transverse magnetic field, are studied numerically. Results indicate that the dimensionless parameters such as Hartmann number, intensity of the lateral electric field, pressure gradient parameter and aspect ratio have an important role in controlling flow. It can be implied that the enhancement of pressure gradient leads to the decrease of critical Hartmann number, and this dependency can be reduced from 44% to 7% for S = 0.5 to S = 50 in two pressure gradients of Ω = 1 and Ω = 20. In addition, the reduction of aspect ratio of microchannel section leads to the increment of critical Hartmann number in a specified lateral electric field. At the end, thermal analysis is being done by consideration of the effects of magnetic and electric fields on the Nusselt number.

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“…Through extensive investigation of magnetic field actuation, it has been discovered that excessively strong magnetic fields also impact microfluidic transport. To examine higher fluid velocities, researchers have combined electroosmotic flow (EOF) with electromagnetic actuation to develop a novel hybrid approach known as electromagnetic EOF [20]. This approach differs from conventional magnetic field actuation in that the electric field and magnetic field cooperate to generate an electrochemical double layer (EDL) effect, rather than simply producing a Lorentz force.…”

Section: Introductionmentioning

confidence: 99%

Research on electromagnetic electroosmotic flow of Jeffrey fluid through semicircular microchannel

Dong,

Li,

Yu

et al. 2023

Eng. Res. Express

1

0

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This work extends the previous research on electroosmotic flow in semicircular microchannels, further investigating the electromagnetic electroosmotic flow of Jeffrey fluid under the combined action of the electric field force and electromagnetic force. The analytic solution of velocity is derived using the variable separation method. The influences of oscillation Reynolds number R e , Hartmann number H a , electric width K , relaxation time D e and retardation time λ 2 ω on velocity are examined through graphical analysis. The results show that an increase in Reynolds number R e leads to stronger oscillations in the velocity profile at any Hartmann number H a , and the change in velocity oscillations becomes more pronounced with increasing Hartmann number H a . Specifically, at lower Hartmann numbers H a , the velocity increases with an increase in electric width K and relaxation time D e , but decreases with an increase in retardation time λ 2 ω . An interesting finding is that, at higher Hartmann numbers H a , the velocity of the Jeffrey fluid still decreases under the influence of obstruction in the channel. Furthermore, the results of this study are compared with those of previous scholars to validate their accuracy.

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Effect of patterned hydrodynamic slip on electromagnetohydrodynamic flow in parallel plate microchannel*

Cited by 7 publications

References 38 publications

Pulse electromagnetic flow of Jeffrey fluid in parallel plate microchannels

Pulse electromagnetic flow of Jeffrey fluid in parallel plate microchannels

Numerical simulation of electroosmotic flow in a rectangular microchannel with use of magnetic and electric fields

Research on electromagnetic electroosmotic flow of Jeffrey fluid through semicircular microchannel

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