Peristaltic Transport Research Articles

Entropy generation outcomes in peristalsis of Carreau–Yasuda nanofluid flow with activation energy

AbstractThis paper focuses on the study of activation energy and entropy generation in the peristaltic flow of a Carreau–Yasuda nanofluid. Peristaltic transport, coupled with entropy generation and activation energy in a curved geometry, has significant applications in biomedical and industrial processes involving non‐Newtonian fluids. Blood flow in the arteries, the movement of chyme in the gastrointestinal tract, and peristaltic motion replicate the natural muscular contractions that drive fluid flow in the physiological systems. The integration of entropy generation allows for the evaluation of energy efficiency and the analysis of losses due to viscous dissipation. Activation energy plays a crucial role in processes such as drug delivery, where temperature‐sensitive reactions or biochemical changes affect fluid behavior. In industrial applications, like peristaltic pumps in chemical reactors or polymer processing, the consideration of entropy and activation energy aids in optimizing thermal management and reaction rates. The mathematical model is developed under these assumptions, and the governing equations are numerically solved using the NDSolve function in Mathematica. Graphical results show that higher activation energy and concentration reduce the reaction rate, while the Bejan number and entropy generation increase with a larger Brinkman number. Velocity and temperature increase under slip conditions, whereas concentration decreases, and a stronger radial magnetic field reduces both velocity and the size of the trapped bolus.

Electroosmotic base magnetic field study of peristaltic transport in a non‐uniform wavy ciliated channel for Williamson fluid with enhancing nanoparticles

Electroosmotic base magnetic field study of peristaltic transport in a non‐uniform wavy ciliated channel for Williamson fluid with enhancing nanoparticles

Peristaltic transport of Prandtl hybrid nanofluid (MWCNTs-SWCNTs/engine oil) in non-uniform ducts: Exploring electro-osmosis and Joule heating effects through Keller box simulations

Peristaltic transport of Prandtl hybrid nanofluid (MWCNTs-SWCNTs/engine oil) in non-uniform ducts: Exploring electro-osmosis and Joule heating effects through Keller box simulations

Heat and mass transfer analysis on peristaltic transport of PTT fluid with wall properties

The current study is intended to examine the effect of heat and mass transfer on the peristaltic propulsion of the Pan-Thien-Tanner fluid in a cylindrical tube with wall properties. The complexity of the system is reduced by long wavelength and low Reynolds number strategy. The physical behavior of the peristaltic motion of the PTT fluid is explained and elucidated graphically for several values of various parameters connected with this flow problem. It has been revealed that raising the Source/Sink parameter values and the Weissenberg number results in a higher velocity profile. The outcomes embrace the key to understanding the human organs' physiological fluid motion, such as the chime moment in the small intestine and esophagus.

Correlation of deglutitive striated esophagus motor function and pharyngeal phase swallowing biomechanical events.

The functional relationship of striated esophagus (St.Eso) motor function with pharyngeal deglutitive biomechanical events has not been systematically studied. The aim of this study was to determine the spatio-temporal characteristics of St.Eso function and its correlation with pharyngeal biomechanics and bolus transport. We studied 50 healthy volunteer subjects (age range: 21-82 years, 31 female) by digital videofluoroscopy. All subjects were studied in a seated, upright position. Thirteen of these 50 volunteers also underwent high-resolution manometry (HRM) concurrent with fluoroscopy. We used laryngeal excursion as a surrogate for St.Eso excursion. Median duration of St.Eso excursion was 2.35 [1.93,2.85, 5th and 95th percentile] seconds. Mean maximum extent of St.Eso excursion was 2.84 ± 0.72 cm. We identified four distinct periods in deglutitive St.Eso motor function: P1. Anterosuperior ascent without bolus or peristaltic activity, P2. Non-peristaltic bolus receiving at the apogee of St.Eso excursion concurrent with UES opening and pharyngeal peristalsis P3. Peristaltic bolus transport as St.Eso descends and P4. Continued peristalsis in resting position. 1. St.Eso motor function spans both pharyngeal and esophageal phases of swallowing for receiving and transporting the bolus, 2. Pressure signatures in HRM recordings currently attributed to St.Eso deglutitive motor activity does not represent the entirety of St.Eso peristalsis, only the part that occurs in its resting position. St.Eso peristalsis that occurs during its descent is recorded by pressure sensors initially in the pharynx. This finding needs to be considered when interpreting HRM recordings of the pharynx and proximal esophagus.

Analysis for peristaltic transport of MHD hybrid nanofluid with Darcy–Forchheimer porous medium

Analysis for peristaltic transport of MHD hybrid nanofluid with Darcy–Forchheimer porous medium

Thermal energy and electro-osmotic for biomimetic artificial olfactory cilia in tri-hybrid nanofluids: entropy-defying approaches

Biomimetic artificial olfactory cilia have demonstrated potential in identifying specific volatile organic compounds linked to various diseases, including certain cancers, metabolic disorders, and respiratory conditions. These sensors may facilitate non-invasive disease diagnosis and monitoring. Cilia Motility is the coordinated movement of cilia, which are hair-like projections present on the surface of particular cells in different species. Cilia serve an important part in several biological functions, including motility, fluid movement, and sensory reception. Cilia motility is a complicated process that requires the coordinated interaction of structural components and molecular pathways. Cilia are made up of a highly structured structure known as the axoneme, which is made up of microtubules grouped in a unique pattern. The axoneme is made up of nine outer doublet microtubules and a core pair of singlet microtubules. This arrangement offers structural support and serves as a scaffold for the proteins involved in ciliary movement. Our latest endeavors investigate these Multiphysics phenomena in ciliary beating flows that are inspired by biology, utilizing copper, gold, and titania nanoparticles. We examine their functions in biological systems such as peristaltic transport computationally. Our models give precise two- and three-dimensional velocity, temperature, and concentration solutions by integrating transverse magnetohydrodynamics with laser heating. Furthermore, at the channel wall expressions, the skin friction coefficient, Sherwood number, Nusselt number and optimization of entropy generation are acquired and analyzed. Important properties of the velocity and scalar profiles are revealed by a thorough analysis of dimensionless parameters. The simplified examination provides more insight into the trapping patterns that result from the complex interaction between nanofluid rheology and optics. These findings greatly contribute to our knowledge and improvement of nanofluidic transport technologies in a variety of fields supporting industry, sustainability, and medicine. Our combined computational and experimental methodology clarifies the complex dynamics in these systems and provides design guidance for the engineering of improved fluidic devices that make use of multifunctional nanomaterial interfaces and peristaltic motion.

Thermal radiation effect in electroosmosis regulated peristalsis transport of Williamson hybrid nanofluid via an asymmetric tapered channel

AbstractElectroosmosis effects in a peristaltic transport of nanofluids are significant for developing the biomimetic pumping structure at a microscopic extent in physiological medications, for instance, ocular drug delivery systems. The present article addresses the numerical assessment of a peristaltically driven electro‐osmotic flow of a Williamson hybrid nanofluid. The flow is intended to be two‐dimensional, incompressible, unsteady, and subjected to an asymmetric tapered micro‐channel. The characteristics of hybrid nanofluid, which consists of silver (Ag) and copper (Cu) as nanoparticles with base fluid‐blood, are explored in a relative manner with regular nanofluid Ag‐blood. Further, the study includes the impact of linear thermal radiation, energy dissipation through viscosity and resistance phenomena with an externally applied consistent magnetic field. The mathematical model is simplified using dimensionless similarity transformations and numerically solved via MATLAB software. Variations in momentum, thermal energy, and entropy generation against various emerging physical parameters are deliberated through graphical results. Longitudinal velocity towards the center line and heat transfer rate is also analyzed through numerical data illustrated in table form. This study introduces a novel mathematical model for the peristaltically driven electroosmosis flow of Ag‐Cu/blood hybrid nanofluid in a tapered asymmetric microchannel, incorporating external electric and magnetic field effects.

The impact of double‐diffusive convection on electroosmotic peristaltic transport of magnetized Casson nanofluid in a porous asymmetric channel

AbstractThe primary objective of the present article is to investigate the heat and mass transfer in mixed convection peristaltic flow of Casson nanofluid through an asymmetric permeable channel filled with a porous medium in the presence of electroosmosis. Magnetohydrodynamics and radiative heat transfer are also considered. The study is motivated by industrial micro‐pumping systems utilizing multi‐functional nanomaterials. Researchers have investigated the distinct temperature and rheological properties of Casson nanofluids. Solutal molecular diffusion and nanoparticle diffusion are both examined. Mixing nanoparticles with Casson fluid alters its flow characteristics and heat transmission, amalgamating different properties that are useful in a wide range of industrial and scientific applications. Buongiorno's two‐component nanoscale model is deployed for simulating nanofluid transport, and the Rosseland diffusion flux is utilized for optically thick electromagnetic liquids. Heat generation or absorption and cross‐diffusion (Soret and Dufour) effects are also incorporated in the model. An efficient analytical approach known as the long wavelength‐low Reynolds number lubrication approximation (LWL‐LRN) is utilized to solve the non‐dimensional boundary value problem. Validation of the solutions with previous studies is included. Graphs are presented using MATLAB 2022b to visualize the influence of key parameters including permeability, magnetic field, thermal radiation, Grashof number, Brownian motion, thermophoresis, electrical field and Prandtl number on transport characteristics (velocity, temperature, concentration), and trapping phenomena associated with peristaltic propulsion. As thermophoresis and Brownian parameters are intensified, there is a strong response in nanoparticles which induces axial acceleration, as observed at locations y = 0.15, where u = 0.191, and y = 0.33, where u is elevated to 0.14. An increase in radiation parameter () results in a depletion in axial velocity magnitudes along the left half of the wall and also modifies velocity distribution in the right section of the microchannel. An increase in the thermal radiation parameter (Rn) and heat absorption (sink) is found to suppress temperatures. Increasing heat generation, thermal Grashof number (Gr), and solutal Grashof number (Gc) decelerate axial flow in the left half space but accelerate flow in the right half space of the micro‐channel. Increasing radiation parameters and thermal Biot number boost temperatures when heat sink is present but reduce them when heat source (generation) is present. Increasing radiation parameter boosts nanoparticle volume fraction (concentration) whereas an elevation in heat generation and thermal Biot number both induce the opposite effect. Increasing the magnetic field damps the flow and reduces the number of boluses present. However, bolus volume increases with greater thermal Grashof Number , Darcy (permeability) number , and Helmholtz‐Smoluchowski velocity , that is, stronger axial electrical field.

Analysis of peristalsis transport in flow of non-Newtonian fluid with modified Darcy’s law

Nanofluids present novel applications in various era of engineering and medical sciences like lubricants, medication delivery, cancer treatment, and microchip cooling. Investigating the peristaltic transport of a magnetohydrodynamic (MHD) Williamson nanofluid model in a horizontally asymmetrical channel is the main goal of this article. A porous medium allows the flow to take place according to the revised Darcy’s law. Hybrid nanoparticles based on aluminum oxide are used to improve the thermal properties. The classical aspects with implementation of Buongiorno approach namely thermophoretic effects and Brownian impact is elaborated. The extension in heat equations is proceeded with utilization of Joule heating and viscous dissipation outcomes. There are no-slip conditions linked to the channel borders. By adhering to the lubricating strategy and employing the homotopy perturbation method, the issues are resolved. Graphs and tables are used for physical analysis of the relevant parameters. It is examined that velocity profile enhances due to Darcy parameter in both channel walls. The temperature profile for hybrid nanofluid increases for Brinkman number. Low concentration profile is claimed for activation energy parameter. Current results incorporate the applications in thermal engineering, nuclear systems, roller pumps, heat transfer devices, chemical engineering, etc.

Peristaltic transport with multiple solutions of heat and mass transfer using modified Buongiorno nanofluid model over tapered channel with long wave‐length at small Reynolds number

AbstractThis research paper aims to investigate the peristaltic transport of a nanofluid (NF) in a tapered asymmetric channel. Initially, the governing equations for the balance of mass, momentum, temperature, and volume fraction for the NF using Reiner–Philippoff (RP) based NF are formulated. Subsequently, these equations are employed to analyze long wavelength and small Reynolds number scenarios. The numerical results for various flow features are thoroughly examined and discussed. Dual solutions have been examined for some factors. So, stability assessment is implemented to find stable solution. Novelty of the existing is to investigate the peristaltic motion of Buongiorno's NF model and its stability which has not investigated in the previous literatures. It has been demonstrated that modifying the RPF parameter leads to a transition in the fluid's velocity, changing it from a dilatant liquid to a Newtonian fluid and from Newtonian to pseudoplastic. The findings indicate that the temperature curves rise as Brownian motion and thermophoretic factors increase, while they decrease as the Prandtl number increases. Furthermore, a concise mathematical and graphical analysis is carried out to examine the impact of each key parameter on the flow characteristics.

Electrically actuated peristaltic transport of viscoelastic fluid: a theoretical analysis

Electrically actuated peristaltic transport of viscoelastic fluid: a theoretical analysis

Both radially varying viscosity and thermal micropolar effect on MHD Newtonian nanofluid flow through a porous media

The purpose of this research is to discuss the impact of radially varying viscosity on MHD peristaltic transport in a micropolar Newtonian nanofluid. The fluid moves through a porous media under the influence of ohmic dissipation and radiation. The mathematical equations governing the system were modified with long-wavelength and low-Reynolds number approximations. They were then solved using the homotopy perturbation method. A set of graphs illustrate numerical results regarding the relationships between axial velocity, micro-rotation velocity, temperature and nanoparticle concentration with physical variables. It is observed that both the micro-rotation velocity and temperature magnify with an increase in the value of Eckert number. Meanwhile, the value of the axial velocity reduces with an increase in the value of Eckert number. Furthermore, the current study has many applications in several scientific areas such as the medical industry, medicine and others. Gold nanoparticles can also be used to treat cancerous tumours.

Synergistic Exploration of Heat Transfer for Integration Magnetohydrodynamics of Nanofluids Peristaltic Transport within Annular Tubes

The problem of treating cancer is considered one of the most important daily challenges that affect the lives of people with cancer. This research deals with solving this problem theoretically. Through previous studies, it has been proven that gold nanoparticles are able to remove these cancer cells. The idea of this research is theoretically based on injecting a cancer patient with gold nanoparticles that are exposed to a magnetic field. When these particles penetrate cancerous cells and are exposed to a magnetic field, this causes their temperature to rise. The high temperature of the nanometer gold particles that penetrate the cells of the affected body leads to the explosion of the cancer cells. In this research, the various external forces that affect the flow movement of the nanofluid are studied and how its physical and thermal properties are affected by those external forces. The MHD peristaltic flow of a nanofluid in an annulus pipe as a result of the effect of the wall properties has been investigated. This has been achieved through slip and thermal conditions. Wave velocity leads to flow development. The inner annulus wall is rigid, while the outer wall of the artery moves under the influence of wave peristaltic movement. The nonlinear equations that describe the flow are solved under long-wavelength assumptions. The results were compared with other numerical methods, such as finite volume and finite element and the long wavelength method and proved to be accurate and effective. The expressions of pressure difference, velocity, stream function, wall shear stress, and temperature are analyzed. It is noted that the flow velocity increases with the Knudsen number, and the increased source heat suggests an increased temperature. The increasing amplitude ratio at most of the interface points between the artery wall and the catheter results in increased velocity. The streamlines are affected by the magnetic field, as increasing the influencing magnetic field leads to a decrease in flow lines. It is observed that this stress decreases when nanoparticles increase, in contrast to the effect of the magnetic field and also the occurrence of slipping. It was found that the mass of the wall cells relative to their area works to decrease the pressure difference, in contrast to the tension between those cells, which works to increase the pressure difference. Without slipping and with slipping , the temperature decreases with increasing in nanoparticle concentration . The temperature also increases with the amplitude ratio . This strongly affects the generated drag on the catheter wall, which is mainly responsible for the enhanced temperature on this wall.

Comparative analysis of viscous dissipation effects on Prandtl fluid including contraction and relaxation phenomena

AbstractThis paper investigates the effects of magnetohydrodynamics and heat transfer on the peristaltic transport of Prandtl fluid in a vertical endoscopic tube. The reduction of the complexity of the equations governing the flow of Prandtl fluid entails the use of long wavelength and low Reynolds number approximations. These complex equations for the pressure gradient and velocity profile are handled analytically using the perturbation technique with convective boundary conditions, and the temperature and concentration profiles are carefully solved for the exact solution. The frictional forces and pressure rise are also simulated with numerical integration. The resulting formulas for velocity, temperature, concentration, pressure rise, and pressure gradient are graphed using the MATLAB and MATHMATICA software, and the effects of all the different physical parameters are investigated and assessed. The streamlines with five distinct wave types are sketched at the conclusion to show the phenomenon of trapping. It is investigated that the velocity profile rises due to buoyancy forces and falls due to the influence of magnetic forces.

Peristaltic flow under the effects of tilted magnetic field: enhancing heat transfer using graphene nanoparticles

ABSTRACT This study investigates the consequences of inclined magnetic field and thermal radiation on peristaltic transportation of nanofluid through a porous media. The nanoliquid is composed of graphene nanoparticles and water. Viscous dissipation, mixed convection, thermal radiation, Joule heating and gravity effects are also considered. Mathematical modeling is carried out under small Reynolds number and large wavelength approximations. Resulting system of equations is numerically solved through built-in command NDSolve through Mathematica. The purpose of this research is to investigate the impact of volume fraction of nanoparticles, phase difference, inclination angle of the applied magnetic field, geometry parameters, Hartmann, Darcy and Brinkman numbers on axial velocity, temperature profile, heat transfer rates at the boundaries, pressure gradient, and pressure rise per wavelength. Outcomes of this study reveal that the addition of graphene nanoparticles enhances heat transfer performance. Velocity profile reduces and temperature increases for greater Hartmann number. Moreover, higher values of Hartmann number enhance heat transfer performance and peristaltic pumping. The enhancement of Darcy number increases velocity, temperature, and pressure while decreasing the peristaltic pumping. Variation in thermal radiation parameter reduces the temperature profile. The rate of pumping and pressure gradient decreases on increasing Froude number.

The Impact of Heat Transfer and a Magnetic Field on Peristaltic Transport with Slipping through an Asymmetrically Inclined Channel

This theoretical investigation explores the intricate interplay of slip, heat transfer, and magneto-hydrodynamics (MHD) on peristaltic flow within an asymmetrically inclined channel. The channel walls exhibit sinusoidal undulations to simulate flexibility. The governing equations for continuity, momentum, and energy are utilized to mathematically represent the flow dynamics. Employing the perturbation method, these nonlinear equations are systematically solved, yielding analytical expressions for key parameters such as stream function, temperature distribution, and pressure gradient. This study meticulously examines the influence of various physical parameters on flow characteristics, presenting comprehensive visualizations of flow streamlines, fluid axial velocity profiles, and pressure gradient distributions. Noteworthy findings include the observation that the axial velocity of the fluid increases by 55% when the slip parameter is increased from 0 to 0.1, indicative of enhanced fluid transport. Furthermore, the analysis reveals that the pressure gradient amplifies by 80% with increased magnetic field strength from 0.5 to 4, underscoring the significant role of MHD effects on overall flow behavior. In essence, this investigation elucidates the complex dynamics of peristaltic flow in an asymmetrically inclined channel under the combined influence of slip, heat transfer, and magnetohydrodynamics. It sheds light on fundamental mechanisms that govern fluid dynamics in complex geometries and under diverse physical conditions.

Thermal transport of radially magnetized peristalsis of non-Newtonian nanofluid through an asymmetric curved channel

Present examination explores the heat and mass transfer phenomena for magnetohydrodynamics (MHD) peristaltic transport of diethylene glycol (DEG)-based Cross nanofluid through an asymmetric curved channel. The mass and thermal characteristics of nanofluid are established through the assessment of Buongiorno nano-liquid model, which allows to identify intriguing features of thermophoretic and Brownian diffusion coefficients. Further, velocity slip conditions are enforced on the peristaltic walls. The influences of thermal radiation, radius-dependent magnetic field and viscous dissipation are also taken into consideration. The governing equations are simplified by employing lubrication theory (“biological estimate of the creeping transportation phenomenon”), and resulting system is tackled numerically. Impacts of different flow parameters on the nanofluid’s velocity, nanomaterials concentration profile, heat and mass transfer, streamlines, temperature of nanofluid, and stresses at the wall are analyzed via graphs and tables. The findings of this investigation report that nanofluid’s temperature enhances against Hartmann and Brinkman numbers, whereas it declines for the thermal radiation parameter. The distribution of the concentration profile decreases for Brownian motion while it increases for the thermophoresis parameter. Further, a development in the stresses, thermal and mass transfer rates at the boundary is seen for better values of the Hartmann number. Additionally, higher values of the velocity slip parameter show increasing behavior for the velocity of nanofluid near the walls of the channel. The effects of MHD with magnesium aluminate nanoparticles suspended in DEG base fluid-based nanofluid through an asymmetric curved conduit have many uses in industry, organic compounds, biomedical engineering, and commercial productions, such as brake fluid, tobacco, polyester resins, certain dyes, printing ink, polyurethanes, glue, resins, antifreeze, nitrocellulose, oils, cigarettes, plasticizers, and so forth. DEG-based nanofluids are also used in human medications, including acetaminophen and sulfanilamide, which can result in incidents of human poisoning, some of which have been fatal, either intentionally or unintentionally.

Bifurcation and Stability Analysis of Stagnation Point for Fluid Flow in an Inclined Channel with Inclined Magnetic Field for Peristaltic Transport

Bifurcation and Stability Analysis of Stagnation Point for Fluid Flow in an Inclined Channel with Inclined Magnetic Field for Peristaltic Transport

Nanoparticle aggregation and electro-osmotic propulsion in peristaltic transport of third-grade nanofluids through porous tube

In the modern era, the utilization of electro-kinetic-driven microfluidic pumping procedures spans various biomedical and physiological domains. The present study introduces a mathematical framework for characterizing the hemodynamics of peristaltic blood flow within a porous tube infused with ZrO2 nanoparticles. This model delves into the interactions between buoyancy, electro-osmotic forces, and aggregated nanoparticles to discern their influence on blood flow. We employ a third-grade fluid model to elucidate the rheological behavior of the pseudoplastic fluid which refers to its response to applied shear stress, specifically the relationship between shear rate and viscosity. The collective influence of accommodating heat convection, joule heating and aggregated nanoparticles contributes to the thermal behavior of fluids. The distribution of electric potential within the electric double layer (EDL) is predicted by solving the Poisson–Boltzmann equation. The rescaled equations are simplified using the lubrication and Debye-Hückel models as the underlying frameworks. The novel homotopy perturbation method is employed to obtain solutions for the finalized non-linear partial differential equation. Theoretical assessment of hemodynamic impacts involves plotting graphical configurations for various emerging parameters. As electro-osmotic parameter increase, the bloodstream encounters greater impedance, thereby enhancing the effectiveness of electro-osmotic assistance. Concurrently, elevated convective heat markedly reduces the rate of heat transfer, potentially resulting in a drop in blood temperature. It is important to note that maximum shear stress occurs when the artery is positioned horizontally, underscoring the significant impact of arterial alignment on wall shear stress. Skin friction intensifies with the increasing wall permeability as aggregated nanofluids pass through the arterial conduit. Therefore, aggregation of nanoparticles into the bloodstream yields a broader spectrum of distinctive physiological features. In summary, these findings enable more effective tool and device designs for addressing medication administration challenges and electro-therapies.