Combined effects of homogeneous and heterogeneous reactions on peristalsis of Ree‐Eyring liquid: Application in hemodynamic flow

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 equation of Ree–Eyring liquid is (see References [43,46])

τ_{x y} = μ (y) \frac{\partial \overset{V_{i}}{true}}{\partial \overset{x_{j}}{true}} + \frac{1}{\bar{B}} \sinh^{- 1} (\frac{1}{\bar{C}} \frac{\partial \overset{V_{i}}{true}}{\partial \overset{x_{j}}{true}}) .

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Section: Problem Formulationmentioning

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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“…Nadeem and Sadaf [29] had investigated the trapping phenomenon of nanofluids flow via a ciliated annular domain. Vaidya et al [30,31] had highlighted the impacts of chemical reactions on the peristaltic pumping of Ree-Eyring non-Newtonian fluid passing through a permeable domain in addition to an asymmetric domain under MHD effects. Ashraf et al [32] had examined the MHD impacts on nanofluid flow of Casson fluid through a cylindrical domain with sinusoidal wall fluctuations.…”

Section: Introductionmentioning

confidence: 99%

Insightful Facts on Peristalsis Flow of Water Conveying Multi-Walled Carbon Nanoparticles Through Elliptical Ducts With Ciliated Walls

et al. 2022

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In this research, a mathematical model is disclosed that elucidates the peristaltic flow of carbon nanotubes in an elliptic duct with ciliated walls. This novel topic of nanofluid flow is addressed for an elliptic domain for the very first time. The practical applications of current analysis include the customization of the mechanical peristaltic pumps, artificial cilia and their role in flow control, drug delivery and prime biological applications etc. The dimensional mathematical problem is transformed into its non-dimensional form by utilizing appropriate transformations and dimensionless parameters. Exact mathematical solutions are computed over the elliptic domain for the partial differential equations appearing in this convection heat transfer problem. A thorough graphical assessment is performed to discuss the prime results. The graphical visualization of the flow in this elliptic duct is obtained by plotting streamlines. The viscous effects are playing a vital role in the heat enhancement as compared to the molecular conduction. Since the incrementing Brinkman number results in a declined conduction due to viscous dissipation that eventually results in an enhanced temperature profile. This research first time elucidates the impacts of nanofluid flow on the peristaltic pumping through an elliptic domain having ciliated walls. Considering water as base fluid with multi-wall Carbon nanotubes for this ciliated elliptic domain having sinusoidal boundaries.

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“…They emphasised the influences of embedded (magnetic and porosity) parameters on the flow features under smaller wave number. A few recent studies in this domain can be seen in [19,20]. Riaz et al [19] theoretically examined the peristaltic rheology of viscoelastic liquid in an annular regime under magnetic impacts.…”

Section: Introductionmentioning

confidence: 99%

“…They studied the role of the size of solid particles on the rheological features. Vaidya et al [20] examined the impact of chemical properties on the peristaltic rheology via an inclined domain. They also have done the theoretical comparison between the viscous and pseudoplastic liquids.…”

Section: Introductionmentioning

confidence: 99%

Porosity effects on the peristaltic flow of biological fluid in a complex wavy channel

et al. 2021

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Peristalsis is the most dynamic phenomenon that is significant in the biomedical domain and offers considerable promise in microscale fluids. For the past few years, this biomimetic (peristaltic) phenomenon attracted the attention of the research community because of its massive applications in numerous medical and industrial domains. In the present study, the steady, laminar rheology of biological fluid from a biomimetic (peristaltic) channel is considered. The rheological equations are expressed in the Cartesian system, and the porosity effects are modelled (added) on a body force term of the momentum equation. The current analysis depends on the creeping phenomena and long wavelength. The closed-form solutions are acquired by using integration on the rheological equations subject to suitable boundary conditions. The rheology is controlled by two embedded parameters, the porosity and non-Newtonian parameters. It is shown using graphs that the magnitude of axial velocity is strongly affected by the larger strength of porosity (Darcy's number) and non-Newtonian (couple stress) parameters. We noticed the impacts of involved rheological constraints on pumping and trapping phenomena in the light of porous effects. Additionally, the wavy pattern of sinusoidal waves is utilised in the present analysis to increase the efficiency of the peristaltic pump. By increasing the porosity impacts, the magnitudes of velocity profile and pressure gradient of a biofluid are increased. The porosity has a dynamic role in the augmentation of peristaltic pumping. The impacts of couple stress parameter reduces the viscous effects. These outcomes may be useful in bioengineering (drug delivery schemes) and chemical processes.

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Combined effects of homogeneous and heterogeneous reactions on peristalsis of Ree‐Eyring liquid: Application in hemodynamic flow

Cited by 44 publications

References 34 publications

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

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

Insightful Facts on Peristalsis Flow of Water Conveying Multi-Walled Carbon Nanoparticles Through Elliptical Ducts With Ciliated Walls

Porosity effects on the peristaltic flow of biological fluid in a complex wavy channel

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