Thermal Properties of Couple-Stress Fluid Flow in an Asymmetric Channel With Peristalsis

Elmaboud, Y. Abd; Mekheimer, Kh. S.; Abdellateef, A. I.

doi:10.1115/1.4023127

Cited by 36 publications

(13 citation statements)

References 24 publications

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“…In addition, De Vries et al [12] found that the myometrial contractions may occur in both symmetric and asymmetric directions. Therefore, a great effort was devoted to study the peristaltic flow of Newtonian and nonNewtonian fluids in an asymmetric channel [13–23], and recently of Jeffrey and Johnson-Segalman fluids; see, for example, [24–28]. …”

Section: Introductionmentioning

confidence: 99%

Exact Analytical Solution of the Peristaltic Nanofluids Flow in an Asymmetric Channel with Flexible Walls and Slip Condition: Application to the Cancer Treatment

Ebaid

Aly

2013

Computational and Mathematical Methods in Medicine

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In the cancer treatment, magnetic nanoparticles are injected into the blood vessel nearest to the cancer's tissues. The dynamic of these nanoparticles occurs under the action of the peristaltic waves generated on the flexible walls of the blood vessel. Studying such nanofluid flow under this action is therefore useful in treating tissues of the cancer. In this paper, the mathematical model describing the slip peristaltic flow of nanofluid was analytically investigated. Exact expressions were deduced for the temperature distribution and nano-particle concentration. In addition, the effects of the slip, thermophoresis, and Brownian motion parameters on the temperature and nano-particle concentration profiles were discussed and further compared with other approximate results in the literatures. In particular, these results have been obtained at the same values of the physical examined parameters that was considered in Akbar et al., “Peristaltic flow of a nanofluid with slip effects,” 2012. The results reveal that remarkable differences are detected between the exact current results and those approximately obtained in the literatures for behaviour of the temperature profile and nano-particles concentration. Accordingly, the current analysis and results are considered as optimal and therefore may be taken as a base for any future comparisons.

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Section: Introductionmentioning

confidence: 99%

Exact Analytical Solution of the Peristaltic Nanofluids Flow in an Asymmetric Channel with Flexible Walls and Slip Condition: Application to the Cancer Treatment

Ebaid

Aly

2013

Computational and Mathematical Methods in Medicine

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“…Applying the boundary conditions (5) and (6) on the -equation given in (28) and (29), we obtain the following system …”

Section: The General Closed Form Solutionmentioning

confidence: 99%

Exact Analytical Solution for the Peristaltic Flow of Nanofluids in an Asymmetric Channel with Slip Effect of the Velocity, Temperature and Concentration

Aly

Ebaid

2014

J. mech.

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The peristaltic flow of nanofluids under the effect of slip conditions was theoretically investigated. The mathematical model was governed by a system of linear and non-linear partial differential equations with prescribed boundary conditions. Then, the exact solutions were successfully obtained and reported for the first time in the present work. These exact solutions were then used for studying the effects of the slip, thermophoresis, Brownian motion parameters and many others on the pressure rise, velocity profiles, temperature distribution, nanoparticle concentration and pressure gradient. In addition, it is proved that the obtained exact solutions are reduced to the literature results in the special cases.In the general case, it was found that on comparing the current solutions with the approximate ones obtained using the homotopy perturbation method in literature, remarkable differences have been detected for behaviour of the pressure rise, velocity profiles, temperature distribution, nanoparticle concentration and finally the pressure gradient. An example of these differences is about effect of the Brownian motion parameter on the velocity profile; where it was shown in this paper that the small values of this parameter have not a significant effect on the velocity, while this situation was completely different in the published work. Many other significant differences have been also discussed. Therefore, these observed differences recommend the necessity of including the convergence issue when applying the homotopy perturbation method or any other series solution method to solve a physical model. In conclusion. The current results may be considered as a base for any future analysis and/or comparisons.

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“…22 Akbar and Nadeem 23 also discussed the peristaltic flow of chyme in small intestine by considering couple-stress fluid. Heat transfer analysis in two-dimensional peristaltic flow of couple-stress fluid through an asymmetric channel was conducted by elmaboud et al 24 The peristaltic flow induced by waves traveling along the walls involve elastic properties. Consideration of such wall properties like tension and damping are essential in various practical situations.…”

Section: Introductionmentioning

confidence: 99%

Peristaltic Flow of Couple-Stress Fluid With Heat and Mass Transfer: An Application in Biomedicine

Hina

Mustafa

Hayat

et al. 2015

J. Mech. Med. Biol.

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Analysis is performed for the simultaneous effects of heat and mass transfer on the peristaltic transport of an electrically conducting couple-stress fluid in a compliant walls channel. The study may be useful in understanding the physiological flow of blood through micro-circulatory system in the presence of particle-size effect. Long wavelength and low Reynolds number aspects are taken into consideration. Exact solutions for stream function, temperature and concentration are derived. Impact of pertinent parameters like the couple-stress fluid parameter (), Hartman number (M), amplitude ratio (), elastic parameters (E 1 ; E 2 ; E 3 ; E 4 ; E 5 ), Brinkman number (Br) and Schmidt number (Sc). It is observed that velocity and temperature distributions are greater for couple stress fluid when compared with the Newtonian fluid.

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Thermal Properties of Couple-Stress Fluid Flow in an Asymmetric Channel With Peristalsis

Cited by 36 publications

References 24 publications

Exact Analytical Solution of the Peristaltic Nanofluids Flow in an Asymmetric Channel with Flexible Walls and Slip Condition: Application to the Cancer Treatment

Exact Analytical Solution of the Peristaltic Nanofluids Flow in an Asymmetric Channel with Flexible Walls and Slip Condition: Application to the Cancer Treatment

Exact Analytical Solution for the Peristaltic Flow of Nanofluids in an Asymmetric Channel with Slip Effect of the Velocity, Temperature and Concentration

Peristaltic Flow of Couple-Stress Fluid With Heat and Mass Transfer: An Application in Biomedicine

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