Peristaltic thrusting of a thermal-viscosity nanofluid through a resilient vertical pipe

Abumandour, Ramzy M.; Eldesoky, Islam M.; Kamel, Mohamed Hassan; Ahmed, Mohamed Mohsen; Abdelsalam, Sara I.

doi:10.1515/zna-2020-0054

Cited by 54 publications

(19 citation statements)

References 33 publications

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“…Let Ψ(k, y, λ) be the Laplace transform of ψ(k, y, t) with respect to time variable, t. Applying the Laplace transformation to both sides of equation (14) yields…”

Section: Reformulation Of Ibvp Using Fourier and Laplace Integral Tramentioning

confidence: 99%

“…e model is supposed to be useful in medical pumps for drug delivery systems incorporating nanoparticles. In [14], Abumandour et al analyze the effects of viscosity and magnetohydrodynamics of the peristalsis of nanofluid using both analytical and numerical mathematical tools. e authors of [15], Bhatti et al, provide an analytical study of a model of swimming microorganisms in a non-Newtonian blood-based nanofluid moving along an anisotropically narrowing artery.…”

Section: Introductionmentioning

confidence: 99%

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Stability of Fluid Flow through a Channel with Flexible Walls

Shubov

Edwards

2021

International Journal of Mathematics and Mathematical Sciences

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In the present paper, we summarize the results of the research devoted to the problem of stability of the fluid flow moving in a channel with flexible walls and interacting with the walls. The walls of the vessel are subject to traveling waves. Experimental data show that the energy of the flowing fluid can be transferred and consumed by the structure (the walls), inducing “traveling wave flutter.” The problem of stability of fluid-structure interaction splits into two parts: (a) stability of fluid flow in the channel with harmonically moving walls and (b) stability of solid structure participating in the energy exchange with the flow. Stability of fluid flow, the main focus of the research, is obtained by solving the initial boundary value problem for the stream function. The main findings of the paper are the following: (i) rigorous formulation of the initial boundary problem for the stream function, ψ x , y , t , induced by the fluid-structure interaction model, which takes into account the axisymmetric pattern of the flow and “no-slip” condition near the channel walls; (ii) application of a double integral transformation (the Fourier transformation and Laplace transformation) to both the equation and boundary and initial conditions, which reduces the original partial differential equation to a parameter-dependent ordinary differential equation; (iii) derivation of the explicit formula for the Fourier transform of the stream function, ψ ˜ k , y , t ; (iv) evaluation of the inverse Fourier transform of ψ ˜ k , y , t and proving that reconstruction of ψ x , y , t can be obtained through a limiting process in the complex k -plane, which allows us to use the Residue theorem and represent the solution in the form of an infinite series of residues. The result of this research is an analytical solution describing blood flowing through a channel with flexible walls that are being perturbed in the form of a traveling wave.

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“…Let Ψ(k, y, λ) be the Laplace transform of ψ(k, y, t) with respect to time variable, t. Applying the Laplace transformation to both sides of equation (14) yields…”

Section: Reformulation Of Ibvp Using Fourier and Laplace Integral Tramentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Stability of Fluid Flow through a Channel with Flexible Walls

Shubov

Edwards

2021

International Journal of Mathematics and Mathematical Sciences

View full text Add to dashboard Cite

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“…In the human body's biological system, to explain blood flow, it is essential to study the variation of viscosity because the viscosity of blood near the peripheral region is found to be less when compared with the core region. Several theoretical and experimental researches on the viscosity dependency of pressure have been published over time, and a thorough analysis of this subject can be found in the work of References [30–37]. However, along with variable viscosity, the variable thermal conductivity depends on temperature, also considered in recent research.…”

Section: Introductionmentioning

confidence: 99%

Mass and heat transport impact on the peristaltic flow of a Ree–Eyring liquid through variable properties for hemodynamic flow

et al. 2021

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Variable properties play a prominent role in analyzing the blood flow in narrow arteries. Specifically, considering the variation of thermal conductivity and viscosity helps in the understanding of the rheological behavior of blood and other biological fluids, such as urine, spermatozoa, and eye drops. Inspired by these applications, the current study incorporates the impact of variable thermal conductivity and viscosity for modeling the peristaltic flow of a Ree–Eyring liquid through a uniform compliant channel. The governing equations are nondimensionalized with the assistance of similarity transformations. The long‐wavelength and small Reynolds wide variety approximation are utilized for solving the governing differential equations. Furthermore, the series solution method (perturbation technique) is utilized for solving the nonlinear temperature equation. The obtained results show that the velocity is greater in the case of the Newtonian liquid than that of the non‐Newtonian liquid.

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“…A study carried out by Akbar et al, 29 has elevated the peristaltic flow of nanofluid to a separating tube, which combines the temperature using a homotopy perturbation method. Many important results of peristaltic transport of nanofluids flow can be found in Hayat et al, 30 Ramesh and Prakash, 31 Riaz et al, 32 Abumandour et al, 33 Mekheimer et al, 34 and Ellahi et al 35 Double diffusion of volatility of the separated liquid resting its size is determined by two different substances at different values. Stern 36 confirmed that this arrangement is unstable or weed compaction rises to the ground.…”

Section: Introductionmentioning

confidence: 99%

Crossbreed impact of double-diffusivity convection on peristaltic pumping of magneto Sisko nanofluids in non-uniform inclined channel: A bio-nanoengineering model

et al. 2021

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The consequences of double-diffusivity convection on the peristaltic transport of Sisko nanofluids in the non-uniform inclined channel and induced magnetic field are discussed in this article. The mathematical modeling of Sisko nanofluids with induced magnetic field and double-diffusivity convection is given. To simplify PDEs that are highly nonlinear in nature, the low but finite Reynolds number, and long wavelength estimation are used. The Numerical solution is calculated for the non-linear PDEs. The exact solution of concentration, temperature and nanoparticle are obtained. The effect of various physical parameters of flow quantities is shown in numerical and graphical data. The outcomes show that as the thermophoresis and Dufour parameters are raised, the profiles of temperature, concentration, and nanoparticle fraction all significantly increase.

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Peristaltic thrusting of a thermal-viscosity nanofluid through a resilient vertical pipe

Cited by 54 publications

References 33 publications

Stability of Fluid Flow through a Channel with Flexible Walls

Stability of Fluid Flow through a Channel with Flexible Walls

Mass and heat transport impact on the peristaltic flow of a Ree–Eyring liquid through variable properties for hemodynamic flow

Crossbreed impact of double-diffusivity convection on peristaltic pumping of magneto Sisko nanofluids in non-uniform inclined channel: A bio-nanoengineering model

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