Thermal analysis of electroosmotic flow in a vertical ciliated tube with viscous dissipation and heat source effects

Gul, Farah; Maqbool, Khadija; Mann, A.B.

doi:10.1007/s10973-020-09702-y

Cited by 21 publications

(7 citation statements)

References 34 publications

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“…The bionic viscoelastic flows are observed to be Poiseuille type which requires that flow is maximum at the center line of the ciliated channel and temperature profile is also maximum at center of channel therefore axial velocity and temperature profile at r = 0 (center line) satisfies the following conditions [26][27]…”

Section: Mathematical Modellingmentioning

confidence: 99%

“…Recently, Shaheen et al [26] discussed the effect of nanoparticles on ciliary flow of Jeffrey fluid and resulting partial differential equations are solved by Homotopy perturbation method and Farah et al [27] studied the electro-osmotic flow of Jeffrey fluid with effects of heat source/sink. The effect of nonlinear radiations on electro osmotic flow of viscoelastic fluid (Jeffrey fluid) due to the ciliary activity has not been considered so far to the best of our knowledge.…”

Section: Introductionmentioning

confidence: 99%

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Retracted: “Electro-Osmotic Propulsion of Jeffrey Fluid in a Ciliated Channel Under the Effect of Nonlinear Radiation and Heat Source/Sink,” [ASME Journal of Biomechanical Engineering, 2021, 143(5), p. 051008; DOI: 10.1115/1.4049810]

Shaheen

Bég

Gul

et al. 2021

Journal of Biomechanical Engineering

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Mathematical modelling of mechanical system in microfluidics is an emerging area of interest in micro scale engineering. Since microfluidic devices use the hair like structure of artificial cilia for pumping, mixing and sensing in different fields, therefore; electro osmotic cilia driven flow help to generate the fluid velocity for the Newtonian and viscoelastic fluid. Due to the deployment of artificial ciliated walls, the present research reports the combined effect of an electro osmotic flow and convective heat transfer on Jeffrey viscoelastic electrolytic fluid flow in a two-dimensional ciliated vertical channel. Heat generation/absorption and nonlinear radiation effects are included in the present mathematical model. After applying Debye-Huckel approximation and small Reynolds number approximation to momentum and energy equation, the system of nonlinear partial differential equation is reduced into non-homogenous boundary value problem. The problem determines the velocity, pressure and temperature profiles by the application of semi-analytical technique known as Homotopy Perturbation Method (HPM) with the help of software Mathematica. The graphical results of the study suggest that HPM is a reliable methodology for thermo physical electro-osmotic rheological transport in micro channels.

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Section: Mathematical Modellingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Retracted: “Electro-Osmotic Propulsion of Jeffrey Fluid in a Ciliated Channel Under the Effect of Nonlinear Radiation and Heat Source/Sink,” [ASME Journal of Biomechanical Engineering, 2021, 143(5), p. 051008; DOI: 10.1115/1.4049810]

Shaheen

Bég

Gul

et al. 2021

Journal of Biomechanical Engineering

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“…Imran et al 25 investigated the heat transfer properties of Williamson fluid flow where the fluid flow is generated by electroosmosis and cilia beating in the micro-ciliated channel. Some more significant studies are reported by 26 , Ijaz et al 27 , and Javed et al 28 .…”

Section: Introductionmentioning

confidence: 88%

Electroosmotically actuated peristaltic-ciliary flow of propylene glycol + water conveying titania nanoparticles

Akram

Akbar

2023

Sci Rep

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The main focus of this article is to mathematically formulate the microfluidics-based mechanical system for nanofluids. A 50:50 mixture of propylene glycol (PG) and water is used as a heat transfer fluid because of its tremendous anti-freezing properties, and nontoxicity and it is safe to be utilized at the domestic level. Titanium dioxide (titania) nanoparticles are suspended in the working fluid to enhance its heat transfer ability. The fluid flow is induced by electroosmosis in a microtube, which is further assisted by cilia beating. The impacts of Joule heating and non-linear thermal radiation are also considered. The simplification of the dimensionless system is done under lubrication theory and the Debye-Hückel linearization principle. The nonlinear system of equations is executed for a numerical solution by adopting the symbolic mathematical software Maple 17 using the command “dsolve” along with the additional command “numeric” to get the numerical solution. This command utilizes a low-ordered method along with accuracy-enhancing schemes such as the deferred correction technique and Richardson extrapolation to get a numerical answer of desired accuracy, where we can choose the accuracy level and mesh points according to our requirements. The detailed analysis of results obtained from the numerical treatment of the considered problem indicates that the efficiency of the PG + water enhances due to the suspension of the nanoparticles and heat is rapidly removed from the system. Further, the velocity of the fluid is augmented by decreasing the thickness of the electric double layer and raising the strength of the electric field in the forwarding direction.

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“…Extensive researches by various research workers on the EOF in microchannel for both Newtonian fluids and non-Newtonian fluids have been carried out in the recent years. For example, Gul et al 1 analyzed the thermal analysis of the EOF with heat source, viscous dissipation, and buoyancy effects in a vertical ciliated tube. Three different cases of EOF were presented and solution of each was calculated analytically and discussed.…”

Section: Introductionmentioning

confidence: 99%

Transient MHD flow of fractional Burger's fluid model through a parallel microchannel with heat transfer and slip boundary condition

Musa

Abdullahi

Yakubu

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part E:

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The combined influence of magnetic field, electro-osmotic flow (EOF), and pressure gradient on the unsteady magnetohydrodynamic fluid flow through a parallel microchannel is investigated. The Burger's liquid model is used for the fractional partial differential equation, which allows us to study the behavior of viscoelastic liquid velocity profile in the parallel microchannel. The Laplace transform (LT) in concert with the Fourier cosine transform are used to obtain the analytical solution of the velocity profile. Furthermore, using the method of separation of variables, the energy equation, Joule heating, energy dissipation, and electromagnetic effects are calculated to obtain the temperature within the microchannel. The influence of some relevant parameters like heat transfer, temperature distribution, Hartmann number (Ha), and Brinkman number (Br) on fluid flow velocity are presented graphically and discussed. The results obtained show that temperature decreases with Ha and Br of the transverse electric field for slip flow. Close to the middle of the microchannel, fluid flow velocity increases with decrease in the delay time parameter value and increase in the Burger's parameter value, while the opposite trend is found for the velocity near to the middle of the microchannel. In addition, Burger's liquid is quite general, such that Oldroyd-B, Maxwell, and Newtonian liquids are readily obtained as limiting cases. The study is significant in the application fields of chemical analysis and biological analysis, drug delivery, bacteria detection, and some others.

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Thermal analysis of electroosmotic flow in a vertical ciliated tube with viscous dissipation and heat source effects

Cited by 21 publications

References 34 publications

Retracted: “Electro-Osmotic Propulsion of Jeffrey Fluid in a Ciliated Channel Under the Effect of Nonlinear Radiation and Heat Source/Sink,” [ASME Journal of Biomechanical Engineering, 2021, 143(5), p. 051008; DOI: 10.1115/1.4049810]

Retracted: “Electro-Osmotic Propulsion of Jeffrey Fluid in a Ciliated Channel Under the Effect of Nonlinear Radiation and Heat Source/Sink,” [ASME Journal of Biomechanical Engineering, 2021, 143(5), p. 051008; DOI: 10.1115/1.4049810]

Electroosmotically actuated peristaltic-ciliary flow of propylene glycol + water conveying titania nanoparticles

Transient MHD flow of fractional Burger's fluid model through a parallel microchannel with heat transfer and slip boundary condition

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