The Integrated Thermal Effect in Conjunction With Slip Conditions on Peristaltically Induced Particle-Fluid Transport in a Catheterized Pipe

Eldesoky, Islam M.; Abdelsalam, Sara I.; El‐Askary, W. A.; Ahmed, Mohamed Mohsen

doi:10.1615/jpormedia.2020025581

“…Polyethylene is a thermoplastic, making traditional thermoforming processes such as injection molding and compression molding common in processing. Both techniques increase the polymer’s temperature above its melting point (130–137 °C), allowing the polymer to flow and take the mold’s shape while cooling [ 12 , 13 , 14 , 15 ]. The melted polymer is forced through a metallic die for injection molding, filling the mold with a rapid pressure increase [ 16 , 17 , 18 ].…”

Section: Introductionmentioning

confidence: 99%

Effect of Processing Techniques on the Microstructure and Mechanical Performance of High-Density Polyethylene

Mejia

¹

,

Cherupurakal

²

,

Mourad

³

et al. 2021

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The versatility of high-density polyethylene (HDPE) makes it one of the most used polymers for vast applications ranging from food packaging to human implants. However, there still is confusion regarding the proper selection of processing techniques to produce HDPE specimens for high-end applications. Herein, we compare the processing of HDPE by two relevant techniques: compression and injection molding. The fabricated samples were studied using uniaxial tensile testing to determine their mechanical performance. Furthermore, the microstructure of samples was analyzed using different characterization techniques. Compression-molded specimens recorded a higher degree of crystallinity (DC) using two different characterization techniques such as differential scanning calorimetry (DSC) and X-ray diffraction (XRD). With this information, critical processing factors were determined, and a general structure–property relationship was established. It was demonstrated that having a higher DC resulted in higher yield strength and Young’s modulus. Furthermore, premature failure was observed in the injection-molded specimens, resulting in lower mechanical performance. This premature failure was caused due to flow marks observed using scanning electron microscopy (SEM). Therefore, it is concluded that compression molding produces superior samples compared to injection molding.

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“…Collecting equation (17), boundary condition at y � 1, and evaluating the Fourier transformation of the boundary condition (11), we obtain the following reformulation of the IBVP (10)-(13) for ψ(k, y, t):…”

Section: Assumptionmentioning

confidence: 99%

“…In the editorial paper [16], Bhatti et al outline state-of-the-art research of computational fluid dynamics related to biologically inspired models. e authors of [17], Eldesoky et al, and Eldesoky et al of [18] study the effect of wall slip condition and heat transfer on peristaltic inflow of magnetohydrodynamics Newtonian fluid with suspended particles in a catheterized tube. Sadat and Abdelsalam [19] analyze physical characteristics of incompressible hybrid nanofluid (composed of two different types of nanoparticles) in an annulus with flexible boundaries.…”

Section: Introductionmentioning

confidence: 99%

Stability of Fluid Flow through a Channel with Flexible Walls

Shubov

¹

,

Edwards

²

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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“…For example, it is used to analyze inverse osmosis, cell segregation, distillation technique, chemical impurity propagation, and so forth. Many researchers have scrutinized the impact of heat and mass transport by considering these parameters with various geometrical configurations 14–29 …”

Section: Introductionmentioning

confidence: 99%

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

Rajashekhar

¹

,

Mebarek‐Oudina

²

,

Vaidya

³

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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The Integrated Thermal Effect in Conjunction With Slip Conditions on Peristaltically Induced Particle-Fluid Transport in a Catheterized Pipe

Cited by 60 publications

References 0 publications

Effect of Processing Techniques on the Microstructure and Mechanical Performance of High-Density Polyethylene

Effect of Processing Techniques on the Microstructure and Mechanical Performance of High-Density Polyethylene

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

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