MHD Peristaltic Pumping of a Jeffrey Fluid Between Two Deformable Coaxial Tubes with Different Wavelengths

Rachid, H.; Ouazzani, M. T.

doi:10.1142/s1758825116500563

Cited by 11 publications

(2 citation statements)

References 30 publications

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“…This novel peristaltic endoscope is useful for the endoscopy of tubes that also have deformable sinusoidal walls. Rachid and Ouazzani 26,27 first time used this concept of peristaltic flow in a tube also having a peristaltic endoscope in it. The mathematical analysis of fluid transportation inside a tube due to deforming sinusoidal walls was first time presented by Barton and Raynor.…”

Section: Introductionmentioning

confidence: 99%

Peristaltic pumping of ternary hybrid nanofluid between two sinusoidally deforming curved tubes

Abbas

Mehboob

Rafiq

et al. 2023

Advances in Mechanical Engineering

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This paper aims to inspect the mixed convective peristaltic transport of ternary hybrid nanofluids between two sinusoidally deforming lubricated curved concentric tubes. Titanium, Alumina, and copper nanoparticles are taken for the current problem with blood as a base fluid. The heat equation is also modeled in the presence of heat generation/absorption. The curved shape structure of flow geometry from the external side with a flexible complex nature of the peristaltic endoscope present inside that is similar to the endoscopy of a living organ. The governing expressions of the proposed model are followed under the long wavelength and small Reynolds number hypothesis. The exact solutions for flow fields that is, velocity, temperature, pumping phenomenon, and streamlines are attained by utilizing the separation of variable technique. Furthermore, graphs are used to examine and discuss different parameters outcomes. The outcomes reveal that liquid velocity enhances near the outer wall of the sinusoidal curved tube but it declines with the peristaltic endoscope for enhancing curvature parameter. The fluid temperature is reduced by enhancing the values of curvature parameter.

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Section: Introductionmentioning

confidence: 99%

Peristaltic pumping of ternary hybrid nanofluid between two sinusoidally deforming curved tubes

Abbas

Mehboob

Rafiq

et al. 2023

Advances in Mechanical Engineering

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show abstract

“…The same researchers analyzed the peristaltic transport of a Newtonian and the Jeffrey model, respectively, between two deformable tubes. 5,6 Heat transfer is a widespread natural phenomenon of nature. The coupling between this last phenomenon and peristaltic flow becomes an important subject of several research works and is of great importance for the practical design of heat exchangers.…”

mentioning

confidence: 99%

Entropy generation and mechanical efficiency in laminar peristaltic flow through an elliptical duct

2021

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Heat transfer analysis coupled with peristaltic transport is important in many real-world application areas varying from microchannels to spacecrafts. Power production, chemical, and food industries, electronics, and environmental engineering are some examples of applications. In thermal devices, the overall performance of a heat exchanger depends on heat exchanger efficiency and entropy generation. The main purpose of this paper is to study a mathematical model coupling the peristaltic pumping with the heat transfer phenomenon for an incompressible Newtonian fluid in an elliptical tube. The Navier-Stokes and energy equations have been analytically solved for long wavelength, small Reynolds, and small Peclet numbers approximations. Exact expressions of velocity profile and temperature distribution have been found in the wave frame analysis. The impacts of pertinent parameters on the physical quantities of the problem have been analyzed with the help of graphs. We concluded that the geometrical parameters (occlusion, aspect ratio) enhance the pressure rise and the mechanical efficiency. It should be noted that the best way for minimizing entropy generation is decreasing occlusion, aspect ratio, flow rate, or Brinkman number.

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Heat transfer analysis of a peristaltically induced creeping magnetohydrodynamic flow through an inclined annulus using homotopy perturbation method

Yadav,

Roshan

2024

Z Angew Math Mech

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The present work aims to focus on the heat transfer analysis of the peristaltic flow of biviscosity fluid in an annular region between two coaxial flexible tubes with different amplitudes and phases under the influence of a radially varying magnetic field and constant rotation. In this model, the non‐Newtonian biviscosity fluid is flowing through the annulus region between the two concentric inclined tubes. The outer flexible tube is permeable and supposed to satisfy the Saffman slip condition. The governing equations for the considered problem are simplified under the assumptions of a creeping flow and long‐wavelength approximations. Semi‐analytical expressions for the axial velocity and temperature profile are obtained using the homotopy perturbation method. Here, the expressions for shear stress and stream function are also obtained. In this work, the authors discussed the impact of various flow parameters like the Hartmann number, rotation of the frame, permeability parameter, phase difference, amplitude ratios of inner and outer tubes, radius ratio, and inclination angle on the above flow variables. The streamline contour plots are also drawn for the realization of the fluid flow inside the annular endoscopic region. A noticeable result which is drawn from the present study is that phase difference and amplitude ratio are responsible for reduction and enhancement in temperature and axial velocity of the moving fluid, respectively. It is also found from the present examination that the rise in the strength of the applied magnetic field enhances the transverse fluctuations of peristaltically propagating waves. The comparison of the sinusoidal waveform with the various types of waveforms, such as triangular, trapezoidal, and square waveforms, in the case of a peristaltic endoscope is also discussed. The proposed model may give insights into designing a novel endoscope and decide whether such types of peristaltic endoscopes have exemplary implementations for surgical and mechanical purposes.

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MHD Peristaltic Pumping of a Jeffrey Fluid Between Two Deformable Coaxial Tubes with Different Wavelengths

Cited by 11 publications

References 30 publications

Peristaltic pumping of ternary hybrid nanofluid between two sinusoidally deforming curved tubes

Peristaltic pumping of ternary hybrid nanofluid between two sinusoidally deforming curved tubes

Entropy generation and mechanical efficiency in laminar peristaltic flow through an elliptical duct

Heat transfer analysis of a peristaltically induced creeping magnetohydrodynamic flow through an inclined annulus using homotopy perturbation method

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