Influence of heat and mass transfer, initial stress and radially varying magnetic field on the peristaltic flow in an annulus with gravity field

Abd-Alla, A. M.; Abo‐Dahab, S. M.; El-Shahrany, Hela D.

doi:10.1016/j.jmmm.2014.03.023

Cited by 27 publications

(7 citation statements)

References 24 publications

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“…Akbar et al [14] obtained exact solutions of the problem of heat generation effects on MHD peristaltic motion in permeable tube under the assumption of long-wavelength and low-Reynolds number. Because of the importance of applications of peristaltic flow with heat and mass transfer, many investigators have studied such flows [4,[15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Radially varying magnetic field effect on peristaltic motion with heat and mass transfer of a non-Newtonian fluid between two co-axial tubes

Eldabe

Abou-zeid

2018

Therm sci

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The present analysis discusses the effects of thermal-diffusion with thermal radiation, Joule heating and internal heat generation on peristaltic flow of a non-Newtonian fluid obeying Jeffery model. Heat and mass transfer are also taken into consideration, the flow is between two co-axial tubes under the effect of radially varying magnetic field. The inner tube is uniform and at rest, while the outer tube is flexible with sinusoidal wave traveling. The problem is modulated mathematically by a system of partial differential equations which describes the equations of momentum, heat, and mass transfer. These equations are solved analytically under the assumptions of long wave length and low-Reynolds number in non-dimensional form. The solutions are obtained as a functions of physical parameters of the problem. The radially varying magnetic field effect on the temperature and concentration distributions is analyzed and it is shown that the increase of Hartman number tends to reduce the temperature, while it increases the concentration.

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Section: Introductionmentioning

confidence: 99%

Radially varying magnetic field effect on peristaltic motion with heat and mass transfer of a non-Newtonian fluid between two co-axial tubes

Eldabe

Abou-zeid

2018

Therm sci

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“…On the PT of incompressible second-grade magnetohydrodynamic fluids through a porous medium in an inclined asymmetrical tube, Ramesh and Devakar (2017) explored the effect of heat transfer. With long wavelength and low Reynolds number approximation, the effect on peristaltic flow of an incompressible magnetohydrodynamics Newtonian fluid in a vertical annulus has been inspected by Abd-Alla et al (2014), as a result of both initial tensions, radially varying magnetic field and gravity fields. Nadeem and Akbar (2010) studied the peristaltic flow's effects of Newtonian fluids on an annulus of the variable temperature-dependent viscosity using long-wavelength approximations.…”

Section: Introductionmentioning

confidence: 99%

Effects of heat transfer and the endoscope on Jeffrey fluid peristaltic flow in tubes

Abd-Alla

Abo‐Dahab

Abdelhafez

et al. 2021

MMMS

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PurposeThis article aims to describe the effect of an endoscope and heat transfer on the peristaltic flow of a Jeffrey fluid through the gap between concentric uniform tubes.Design/methodology/approachThe mathematical model of the present problem is carried out under long wavelength and low Reynolds number approximations. Analytical solutions for the velocity, temperature profiles, pressure gradient and volume flow rate are obtained.FindingsThe results indicate that the effect of the wave amplitude, radius ratio, Grashof number, the ratio of relaxation to retardation times and the radius are very pronounced in the phenomena. Also, a comparison of obtaining an analytical solution against previous literatures shows satisfactory agreement.Originality/valueAnalytical solutions for the velocity, temperature profiles, pressure gradient and volume flow rate are obtained. Numerical integration is performed to analyze the pressure rise and frictional forces on the inner and outer tubes.

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“…Thermal diffusion (or Dufour effect) is the energy flux induced by concentration gradient. Although sizeable information exists about peristaltic flows in presence of heat and mass transfer but Soret and Dufour effects are less emphasized (see [ 16 – 25 ]).…”

Section: Introductionmentioning

confidence: 99%

Soret and Dufour effects on MHD peristaltic transport of Jeffrey fluid in a curved channel with convective boundary conditions

et al. 2017

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The purpose of present article is to examine the peristaltic flow of Jeffrey fluid in a curved channel. An electrically conducting fluid in the presence of radial applied magnetic field is considered. Analysis of heat and mass transfer is carried out. More generalized realistic constraints namely the convective conditions are utilized. Soret and Dufour effects are retained. Problems formulation is given for long wavelength and low Reynolds number assumptions. The expressions of velocity, temperature, heat transfer coefficient, concentration and stream function are computed. Effects of emerging parameters arising in solutions are analyzed in detail. It is found that velocity is not symmetric about centreline for curvature parameter. Also maximum velocity decreases with an increase in the strength of magnetic field. Further it is noticed that Soret and Dufour numbers have opposite behavior for temperature and concentration.

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Influence of heat and mass transfer, initial stress and radially varying magnetic field on the peristaltic flow in an annulus with gravity field

Cited by 27 publications

References 24 publications

Radially varying magnetic field effect on peristaltic motion with heat and mass transfer of a non-Newtonian fluid between two co-axial tubes

Radially varying magnetic field effect on peristaltic motion with heat and mass transfer of a non-Newtonian fluid between two co-axial tubes

Effects of heat transfer and the endoscope on Jeffrey fluid peristaltic flow in tubes

Soret and Dufour effects on MHD peristaltic transport of Jeffrey fluid in a curved channel with convective boundary conditions

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