Effects of velocity second slip model and induced magnetic field on peristaltic transport of non-Newtonian fluid in the presence of double-diffusivity convection in nanofluids

Akram, Safia; Razia, Alia; Afzal, Farkhanda

doi:10.1007/s00419-020-01685-4

Cited by 47 publications

(21 citation statements)

References 28 publications

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“…Akbar et al [31] has examined peristaltic flow in nanofluid with double diffusive natural convection. Further theoretical works on double diffusion are mentioned in [32][33][34][35][36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

Hybrid Effects of Thermal and Concentration Convection on Peristaltic Flow of Fourth Grade Nanofluids in an Inclined Tapered Channel: Applications of Double-Diffusivity

Akram¹,

Razia²

2021

Computer Modeling in Engineering &Amp; Sciences

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This article brings into focus the hybrid effects of thermal and concentration convection on peristaltic pumping of fourth grade nanofluids in an inclined tapered channel. First, the brief mathematical modelling of the fourth grade nanofluids is provided along with thermal and concentration convection. The Lubrication method is used to simplify the partial differential equations which are tremendously nonlinear. Further, analytical technique is applied to solve the differential equations that are strongly nonlinear in nature, and exact solutions of temperature, volume fraction of nanoparticles, and concentration are studied. Numerical and graphical findings manifest the influence of various physical flow-quantity parameters. It is observed that the nanoparticle fraction decreases because of the increasing values of Brownian motion parameter and Dufour parameter, whereas the behaviour of nanoparticle fraction is quite opposite for thermophoresis parameter. It is also noted that the temperature profile decreases with increasing Brownian motion parameter values and rises with Dufour parameter values. Moreover, the concentration profile ascends with increasing thermophoresis parameter and Soret parameter values.

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Section: Introductionmentioning

confidence: 99%

Hybrid Effects of Thermal and Concentration Convection on Peristaltic Flow of Fourth Grade Nanofluids in an Inclined Tapered Channel: Applications of Double-Diffusivity

Akram¹,

Razia²

2021

Computer Modeling in Engineering &Amp; Sciences

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“…Javed and Naz [6] considered the Jeffrey fluid for pumping flow in an asymmetric channel and observed that reverse pumping occurs near the channel walls. Other relevant studies on viscous fluid flows in channels have also been reported [7][8][9][10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Peristaltic flow of a viscous fluid in a curved duct with a rectangular cross section

et al. 2022

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Most flow systems in the human body are duct shaped, such as the pancreatic, bile, and gallbladder ducts. Such flow systems are also common in industrial applications like HVAC systems. This study presents a novel mathematical model to analyze the peristaltic motion of a viscous fluid in a three-dimensional curved duct with a rectangular cross section; specifically, such geometries are used more in industrial and medical applications. In the current investigation, the constraints of lubrication theory are considered, and a perturbation technique is used to solve the Navier–Stokes partial differential equations. The major focus of this work is on the aspect ratio of the duct and curvature of the flow axis. Curvilinear coordinates of cylindrical systems are considered for the derivations because of the curved geometry; homogeneous no-slip boundary conditions are proposed at the flexible surfaces, and the expression for pressure increase is found numerically using the NIntegrate tool of computing software Mathematica. A comprehensive graphical discussion is presented to determine the effects of all salient physical factors related to the problem. The results show that the large curvature and aspect ratio reduce the fluid speed gradually but that the flow rate promotes fluid velocity. The pumping rate is a decreasing function of the curvature and aspect ratio; however, reverse pumping can occur for large curvature values. Streamline evaluations suggest that large wave amplitudes increase the number of circulating boluses.

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“…El-Dabe and Abouzeid [3] analyzed the influences of Joule heating, thermal-diffusion with thermal radiation and internal heat generation of a non-Newtonian fluid on peristaltic flow using Jeffery model. The importance of velocity second slip model on peristaltic pumping of non-Newtonian fluid in existence of induced magnetic field and double-diffusivity convection in nanofluids is explained by Akram et al [4]. Eldabe et al [6] modified the system of nonlinear partial differential equations of Carreau nanofluid steady flow of boundary-layer over a moving stretching sheet.…”

Section: Introductionmentioning

confidence: 99%

Thermal micropolar couple stresses effects on peristaltic flow of biviscosity nanofluid through a porous medium

Ismael

Eldabe

zeid

et al. 2022

Preprint

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The main aim of current study is to analyze couple stresses effects on MHD peristaltic transport of a micropolar non-Newtonian nanofluid. The fluid flows through a porous media between co-axial tubes under the effect of radiation, chemical reaction, viscous and Ohmic dissipation. The inner tube is solid and uniform, while the outer tube has an exible wave traveling down its wall. the governing equations have been simplified using low-Reynolds number and long wave-length, then A semi-analytical solutions have been obtained using homotopy perturbation method. Numerical results for the behaviors of the axial velocity, microrotation velocity, temperature and nanoparticles with problem physical parameters are depicted graphically. This study is very significant in diverse medical implementations, as gold nanoparticles are utilized in the remedy of cancer tumor.

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Effects of velocity second slip model and induced magnetic field on peristaltic transport of non-Newtonian fluid in the presence of double-diffusivity convection in nanofluids

Cited by 47 publications

References 28 publications

Hybrid Effects of Thermal and Concentration Convection on Peristaltic Flow of Fourth Grade Nanofluids in an Inclined Tapered Channel: Applications of Double-Diffusivity

Hybrid Effects of Thermal and Concentration Convection on Peristaltic Flow of Fourth Grade Nanofluids in an Inclined Tapered Channel: Applications of Double-Diffusivity

Peristaltic flow of a viscous fluid in a curved duct with a rectangular cross section

Thermal micropolar couple stresses effects on peristaltic flow of biviscosity nanofluid through a porous medium

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