Peristaltic transport of a Jeffrey fluid with double-diffusive convection in nanofluids in the presence of inclined magnetic field

Akram, Safia; Zafar, Mudasar; Nadeem, S.

doi:10.1142/s0219887818501815

Cited by 37 publications

(21 citation statements)

References 27 publications

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“…The temperature difference generates mass transfer which is known as Soret effect, on the other hand, the Dufour effect comes from the heat transfer produced by the concentration gradient. Due to wide range of aplications, peristaltic transport of Jeffrey fluid with double diffusion convection for nanofluids has been analyzed by Akram et al [23] in the presence of a tilted magnetic field. Exact solutions are obtained for the breaking field of nanoparticles, the concentration field, the temperature field, the flow functions, the pressure gradient and the pressure increase with respect to the axial and transverse coordinates on the length restrictions of longwave and low Reynolds number.…”

Section: Introductionmentioning

confidence: 99%

Effects of Double Diffusion Convection on Third Grade Nanofluid through a Curved Compliant Peristaltic Channel

et al. 2020

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Nanofluids are potential heat transfer fluids with improved thermophysical properties and heat transfer performance. Double diffusion convection plays an important role in natural processes and technical applications. The effect of double convection by diffusion is not limited to oceanography, but is also evident in geology, astrophysics, and metallurgy. For such a vital role of such factors in applications, the authors have presented the analytical solutions of pumping flow of third-grade nanofluid and described the effects of double diffusion convection through a compliant curved channel. The model used for the third-grade nanofluid includes the presence of Brownian motion and thermophoresis. Additionally, thermal energy expressions suggest regular diffusion and cross-diffusion terms. The governing equations have been constructed for incompressible laminar flow of the non-Newtonian nanofluid along with the assumption of long wavelength. The obtained analytical expressions for velocity, temperature, and nanoparticle concentration have been sketched for various considerable parameters. The effects of regular buoyancy ratio, buoyancy parameter, modified Dufour parameter, and Dufour-solutal Lewis number have been analyzed along with wall properties and pumping characteristics. This study concludes that fluid becomes hotter with increase in regular buoyancy ratio and a modified Dufour parameter, but a decrease in temperature is observed for the buoyancy parameter. Moreover, the solutal concentration is behaving inversely against the Defour-Solutal Lewis number.

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Section: Introductionmentioning

confidence: 99%

Effects of Double Diffusion Convection on Third Grade Nanofluid through a Curved Compliant Peristaltic Channel

et al. 2020

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“…Nowadays, researchers have been focused on double diffusive convection of peristaltic transport. The peristaltic flow of double diffusive natural convection in nanofluid studied by Noreen et al The research work on double diffusion was continued in References . The porous medium can be defined as solid bodies containing pores structures.…”

Section: Introductionmentioning

confidence: 99%

“…The peristaltic flow of double diffusive natural convection in nanofluid studied by Noreen et al 20 The research work on double diffusion was continued in References. [21][22][23][24][25][26] The porous medium can be defined as solid bodies containing pores structures. The porous medium is the ratio of pore volume to the total volume of given sample materials.…”

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confidence: 99%

Double diffusion on peristaltic flow of nanofluid under the influences of magnetic field, porous medium, and thermal radiation

Asha

Giddaiah

2020

Engineering Reports

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The present article investigates the study of double‐diffusive convection on peristaltic flow under the assumption of long wavelength and low Reynolds number. The mathematical modeling for a two‐dimensional flow, along with double diffusion in nanofluids, is considered. The motivation of the present research work is to analyze the effects of the magnetic field and thermal radiation on a peristaltic flow through a porous medium in an asymmetric channel. The heat flux of the linear approximation employs the thermal radiation of the flow problem. The effect of thermal radiation and double diffusion is an important aspect of research due to its application in public health potential. Infrared radiation techniques are indeed used to treat many skin‐related diseases. It can also be used as a measure of thermotherapy in some bones to enhance the blood circulation. It is found that approximately 80% of blood flow increases with radiation. The governing equations are analytically solved by using Homotopy analysis method with the help of the symbolic software Mathematica. The results of the velocity, pressure rise, temperature, solutal (species) concentration, and nanoparticle volume fraction profiles are graphically shown.

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“…A more complex model is studied by Khan Marwat and Asghar [17] and they investigated the coupled effects of wall contraction (expansion) and peristalsis in a deformable channel and recovered the solutions of [1] for zero wall deformation ratio (α). A lot of research work are available for static and moving walls for both Newtonin, non-Newtonin and Jeffery fluids in nano or in micropolar fluid, see [18][19][20][21][22][23]. Akram et al [18] analyzed the Peristaltic pumping of a Jeffrey fluid with double-diffusive convection in nanofluids in the presence of inclined magnetic field.…”

Section: Introductionmentioning

confidence: 99%

“…A lot of research work are available for static and moving walls for both Newtonin, non-Newtonin and Jeffery fluids in nano or in micropolar fluid, see [18][19][20][21][22][23]. Akram et al [18] analyzed the Peristaltic pumping of a Jeffrey fluid with double-diffusive convection in nanofluids in the presence of inclined magnetic field. Sadaf et al [19] and Shehzadi and Nadeem [20] discussed the fluid flow between walls for peristaltic transportation in a chanel.…”

Section: Introductionmentioning

confidence: 99%

Flow in a two dimensional channel with deforming and peristaltically moving walls

et al. 2019

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In this paper, effects of deforming walls on peristaltic flow in a two dimensional channel have been investigated. The two dimensional form of the governing equations is simplified by using appropriate transformations and well established approximations, which are used extensively for solution of such models. The transformations are designed so that the complex problem is reduced into an ordinary differential equation (ODE). New and simple non-linear ODE is formed in view of adopted procedures and techniques. Its solutions are exactly matched with the solutions of classical problems. Solutions of the final problem are provided for small values of the surface expansion (contraction) ratio and Reynolds number with the help of the perturbation technique and non-linear shooting method. The velocity field, pressure and shear stress are evaluated analytically and numerically. Meanwhile, effects of all parameters are observed on the velocity field, pressure rise per wavelength and shear stress profiles with the help of tables and different figures. Excellent agreement between solutions is found. Current results are apparently matched with the classical problems of peristaltic flow in deforming and non-deforming walls.

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Peristaltic transport of a Jeffrey fluid with double-diffusive convection in nanofluids in the presence of inclined magnetic field

Cited by 37 publications

References 27 publications

Effects of Double Diffusion Convection on Third Grade Nanofluid through a Curved Compliant Peristaltic Channel

Effects of Double Diffusion Convection on Third Grade Nanofluid through a Curved Compliant Peristaltic Channel

Double diffusion on peristaltic flow of nanofluid under the influences of magnetic field, porous medium, and thermal radiation

Flow in a two dimensional channel with deforming and peristaltically moving walls

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