Effects of Heat Transfer and an Endoscope on Peristaltic Flow of a Fractional Maxwell Fluid in a Vertical Tube

Rachid, H.

doi:10.1155/2015/360918

Cited by 13 publications

(5 citation statements)

References 28 publications

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“…The authors of [7] stated the impacts of the endoscope and the magnetic field on the peristalsis involving a Jeffrey fluid. Rachid [8] examined the effect of the endoscope and heat transfer on a fractional Maxwell fluid's peristaltic flow within a vertical tube. The authors of [9] assessed a long-wavelength peristaltic flow within a tube with an endoscope affected by the magnetic field.…”

Section: Nomenclaturementioning

confidence: 99%

Impact of Magnetic Field on a Peristaltic Flow with Heat Transfer of a Fractional Maxwell Fluid in a Tube

Gafel¹

2022

Computers, Materials &Amp; Continua

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Magnetic field and the fractional Maxwell fluids' impacts on peristaltic flows within a circular cylinder tube with heat transfer was evaluated while assuming that they are preset with a low-Reynolds number and a long wavelength. Utilizing, the fractional calculus method, the problem was solved analytically. It was deduced for temperature, axial velocity, tangential stress, and heat transfer coefficient. Many emerging parameters and their effects on the aspects of the flow were illustrated, and the outcomes were expressed via graphs. A special focus was dedicated to some criteria, such as the wave amplitude's effect, Hartman and Grashof numbers, radius and relaxationretardation ratios, and heat source, which were under discussions on the axial velocity, tangential stress, heat transfer, and temperature coefficients across one wavelength. Multiple graphs of physical interest were provided. The outcomes state that the effect of the criteria mentioned beforehand (the Hartman and Grashof numbers, wave amplitude, radius ratio, heat source, and relaxation-retardation ratio) were quite evident.

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Section: Nomenclaturementioning

confidence: 99%

Impact of Magnetic Field on a Peristaltic Flow with Heat Transfer of a Fractional Maxwell Fluid in a Tube

Gafel¹

2022

Computers, Materials &Amp; Continua

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“…The perturbation solutions for the velocity and pressure gradient were obtained for small couple stress parameter, and pressure difference per wavelength and frictional forces on the tube walls have been computed numerically. Rachid (2015) observed the unsteady peristaltic movement of viscoelastic fluid utilizing two coaxial vertical tubes with the fractional Maxwell model. The theoretical study of the heat and transport effects of peristaltic nanofluid propagation on a peripheral layer was explored by Prasad et al (2017).…”

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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“…Ramzan et al [13] discussed the heat flux and magnetic field's influences in Maxwell fluid flow through a two-way strained surface. Rachid [14] calculated the movement of viscoelastic fluid peristaltic transport under the Maxwell fractional model. e impact of a viscosity and a magnetic field of the peristaltic motion of synovial nanofluid in an asymmetric channel was reconnoitered by Ibrahim et al [15].…”

Section: Introductionmentioning

confidence: 99%

Effect of Heat and Mass Transfer and Magnetic Field on Peristaltic Flow of a Fractional Maxwell Fluid in a Tube

2021

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Magnetic field and the fractional Maxwell fluids’ impacts on peristaltic flows within a circular cylinder tube with heat and mass transfer were evaluated while assuming that they are preset with a low Reynolds number and a long wavelength. The analytical solution was deduced for temperature, concentration, axial velocity, tangential stress, and coefficient of heat transfer. Many emerging parameters and their effects on the aspects of the flow were illustrated, and the outcomes were expressed via graphs. Finally, some graphical presentations were made to assess the impacts of various parameters in a peristaltic motion of the fractional fluid in a tube of different nature. The present investigation is essential in many medical applications, such as the description of the gastric juice movement of the small intestine in inserting an endoscope.

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Effects of Heat Transfer and an Endoscope on Peristaltic Flow of a Fractional Maxwell Fluid in a Vertical Tube

Cited by 13 publications

References 28 publications

Impact of Magnetic Field on a Peristaltic Flow with Heat Transfer of a Fractional Maxwell Fluid in a Tube

Impact of Magnetic Field on a Peristaltic Flow with Heat Transfer of a Fractional Maxwell Fluid in a Tube

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

Effect of Heat and Mass Transfer and Magnetic Field on Peristaltic Flow of a Fractional Maxwell Fluid in a Tube

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