Peristaltic Transport through Eccentric Cylinders: Mathematical Model

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

doi:10.1155/2013/902097

Cited by 51 publications

(11 citation statements)

References 8 publications

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“…The influence of lateral walls on peristaltic flow in a rectangular duct has been described by Reddy et al (2005). Mekheimer et al (2012) have studied the mathematical model of peristaltic transport through an eccentric cylinders. The concept of nanofluid in peristalsis has been explored by some of the researchers.…”

Section: Introductionmentioning

confidence: 99%

Effects of heat and mass transfer on peristaltic flow of a nanofluid between eccentric cylinders

et al. 2013

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In the present investigation, we examined the heat and mass transfer analysis for the peristaltic flow of nanofluid through eccentric cylinders. The complexity of equations describing the flow of nanofluid is reduced through applying the low Reynolds number and long wavelength approximations. The resulting equations are highly nonlinear, coupled and nonhomogeneous partial differential equations. These complicated governing equations are solved analytically by employing the homotopy perturbation method. The obtained expressions for velocity, temperature and nanoparticle phenomenon are sketched through graphs for two as well as three dimensions. The resulting relations for pressure gradient and pressure rise are plotted for various pertinent parameters. The streamlines are drawn for some physical quantities to discuss the trapping phenomenon.

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Section: Introductionmentioning

confidence: 99%

Effects of heat and mass transfer on peristaltic flow of a nanofluid between eccentric cylinders

et al. 2013

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“…Many researchers have explored the studies of peristaltic flows with different types of Newtonian and non-Newtonian fluids (Tripathi et al 2010;Tripathi 2011;Mekheimer et al 2013;Kothandapani and Srinivas 2008) . Reddy et al (2005) have analyzed the influence of lateral walls on peristaltic flow in a rectangular duct and concluded that the sagittal cross section of the uterus may be better approximated by a tube of rectangular cross section than a twodimensional channel.…”

Section: Introductionmentioning

confidence: 99%

A theoretical study of Prandtl nanofluid in a rectangular duct through peristaltic transport

2013

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In the current study, peristaltic transport of Prandtl nanofluid is investigated in a uniform rectangular duct. Interaction of peristaltic flow of non-Newtonian fluid model with nano particles is investigated under the long wave length and low Reynolds number approximations. The governing equations are solved by homotopy perturbation method to get the convergent series solution. Effects of all emerging physical parameters are demonstrated with the help of graphs for temperature distribution, nano particles concentration, pressure rise and pressure gradient. Trapping scheme is also described through streamlines.

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“…The peristalsis of viscous fluid in tiny or zero

R_{e}

and

δ

approximation has been scrutinized by Shapiro et al Afterward, several investigators have operated for peristaltic transport of viscous subject to unlike conditions. Further research in this direction can be regarded via studies (see Mekheimer et al, Ellahi et al, and Hayat et al).…”

Section: Introductionmentioning

confidence: 99%

A semianalytical technique for MHD peristalsis of pseudoplastic nanofluid with temperature‐dependent viscosity: Application in drug delivery system

Eldabe

Moatimid

Abou-zeid

et al. 2019

Heat Trans. Asian Res.

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An analysis has been implemented to study the influences of nonconstant viscosity and magnetohydrodynamics on pseudoplastic nanofluid through a porous medium. Ohmic dissipation, chemical reaction, and heat generation are taken into consideration. The current problem is debated under the molds of tiny or zero R e and δ approximation. Two models of nonconstant viscosity are deliberated. Model (I)-all parameters are nondimensional and have been measured as constants inside the flow. Model (II)-all these stated nondimensional parameters have been considered to differ with the temperature. Comparison among the solutions achieved by utilizing numerical results and multi-step differential transform method (Ms-DTM) is displayed in excellent agreement. Attention is dedicated to β, η-, and N b parameters. The governing equations for each case have been explained by an easy and highly perfect series established seminumerical Ms-DTM utilizing Mathematica 11, which uses mathematical software package. Nanofluids are active for drug carrying and drug delivery systems because of the N b control with the velocity of fluid. K E Y W O R D S heat generation, Ms-DTM, Ohmic dissipation, peristaltic flow, pseudoplastic nanofluid, temperature-dependent viscosity, Ms-DTM

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Peristaltic Transport through Eccentric Cylinders: Mathematical Model

Cited by 51 publications

References 8 publications

Effects of heat and mass transfer on peristaltic flow of a nanofluid between eccentric cylinders

Effects of heat and mass transfer on peristaltic flow of a nanofluid between eccentric cylinders

A theoretical study of Prandtl nanofluid in a rectangular duct through peristaltic transport

A semianalytical technique for MHD peristalsis of pseudoplastic nanofluid with temperature‐dependent viscosity: Application in drug delivery system

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