Peristaltic Transport Research Articles

Influence of Magnetic Force for Peristaltic Transport of Non-Newtonian Fluid Through Porous Medium in Asymmetric Channel

In this paper, we study the effects of a magnetic force on the flow of hybrid bio - nano fluid (Cu - Au. NPs) for a peristaltic channel through a porous medium in an asymmetric channel. Nanoparticles of gold and copper as well as the blood (the base fluid) is taken into account. By using the Adomian decomposition method to solve the governing equations, formulas for velocity, stream function, temperature, current density, and magnetic force have been obtained. The findings show that Gold nanoparticles have an elevation magnetic force compared with copper nanoparticles, based on fluid (blood) and hybrid nanofluid. Finally, the phenomenon of trapping is offered as an explanation for the physical behavior of many parameters. The effect of physical parameters is plotted and analyzed by using the Mathematica software.

MHD peristaltic flow of chemically reactive casson nanofluid in a nonuniform porous inclined flexible channel with cross-diffusion effects

This model is designed to provide clarity on how blood travels through tiny veins in physiological systems with heat and mass transfer characteristics. Further, the purpose of this paper is to examine the Ohmic heating and heat source/sink effects on peristaltic transport of radiative Casson nanofluid in a nonuniform porous inclined channel in the presence of a normal/inclined magnetic field. We also considered the sway of chemical reaction, Soret and Dufour effects. The momentum, temperature and mass equations for Casson fluid model are obtained with the utilization of the lubrication approach. The exact solutions have been acquired for stream function and axial velocity. Further, the temperature and concentration equations are solved numerically by using the R–K based shooting method. We also tabulated the Nusselt and Sherwood numbers for various relevant parameters. Finally, the impacts of all major factors on the physical properties of the flow for both normal and inclined magnetic fields are explored and discussed in depth using graphs. The Casson fluid velocity is more for an inclined magnetic field than a normal magnetic field. The nonuniform parameter of the channel boosts the trapped fluid bolus size. The heat source/sink parameter improves the temperature field but the opposite trend is observed in the field of concentration. Moreover, the findings are validated with the existing works for some special circumstances.

Electroosmotically augmented peristaltic transport of chemically reactive blood-based nanofluid through a porous space

Electroosmotically augmented peristaltic transport of chemically reactive blood-based nanofluid through a porous space

Peristalsis for MHD hybrid nanomaterial through asymmetric channel

Objective here is to address impacts of MHD hybrid nanofluids (Fe2O3+Cu/H2O) on peristaltic transport in asymmetric channel. Porous space is taken. Analysis is constructed in the presence of radiation, dissipation, convection and Hall current. Further velocity and thermal slip boundary constraints are considered. Lubrication approach is employed to simplify the dimensionless forms of equations. Quantities of interest are described numerically. The shooting method is used to solve the governing differential systems employing Mathematica. Outcomes of Hartman number, Hall effect, permeability parameter, Grashof number and radiation parameter are analyzed graphically. Result indicates that temperature decreases by increasing the strength of nanomaterials. Axial velocity decays in the presence of Hartman number. Analysis of heat transport process is evaluated using tabulated values. Results show that heat process improved for Hartman number while the opposite behavior observed for Hall current.

Computational analysis and biomechanical study of Oldroyd-B fluid with homogeneous and heterogeneous reactions through a vertical non-uniform channel

Abstract Homogeneous and heterogeneous reactions play a decisive role in biological procedures such as burning, polymer creation, ceramic construction, distillation, and catalysis. The magnetic properties of hemoglobin molecules are organic. Magnetic resonance imaging (MRI) and electronic components with an electromagnetic field are now readily available, allowing for the explanation of fundamental biological processes. These ideas form the foundation of an ongoing study that attempts to look into the impact of both homogeneous and heterogeneous reactivity on the peristaltic transport of magnetohydrodynamics Oldroyd-B fluid. When convective and partial sliding conditions are present, the configuration changes to a non-uniform vertical channel. The fundamental partial differential equations are resolved utilizing the Homotopy Analysis Method. Entropy optimization has been carried out. The primary limits entering the problem are investigated, and then a graph is used to show the influences of temperature, velocity, skin fraction, Nusselt number, and pressure increase against mean circulation, trapping phenomena, homogeneous reactions, and heterogeneous way to respond. When magnetic parameter rises, the velocity of Oldroyd-B fluid and Bejan number decrease, while temperature, entropy generation, and pressure gradient increase. The tables show that the skin friction coefficient rises for accumulative values of the Grashof number and magnetic parameter, while the skin friction coefficient drops for rising values of the velocity slip parameter and Reynolds number. The Nusselt number increases for large values of Eckert, Grashof numbers, and magnetic parameters.

Numerical simulation for peristaltic transport of radiative and dissipative MHD Prandtl nanofluid through the vertical asymmetric channel in the presence of double diffusion convection

This work's primary goal is to give a novel thorough investigation that examines the effects of the temperature- and concentration- dependent electrical conductivity on the peristaltic flow through the vertical asymmetric rotating channel filed with magnetic Prandtl nanofluid saturated in a porous medium. In addition to joule heating, viscous dissipation, and nonlinear thermal radiation, the fundamental characteristics of Brownian motion and thermophoresis processes are also considered when modelling the heat equation. Further, the influences of the double diffusion convection are examined, and the cases of biological scientific assumptions which is known as low Reynolds number and long wavelength are applied. The software Mathematica's built-in command (ND Solve function) is used to numerically solve the consequent nonlinear coupled differential equations system. The main findings showed that as the Soret and Dufour numbers increased, consequently increased the heat resistance, whereas the dissolvent concentrations and nanoparticle volume percentage had the reverse impact.

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

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.

Peristaltic transportation of thermally radiative Sutterby fluid in a tapered microfluidic vessel with convective conditions

Fluid transport from one place to another place by peristaltic pumping is being employed to design the advanced pumping device widely applied in biomedical and industrial applications. Therefore, the peristaltic motion of electrically conducting Sutterby fluid in a tapered channel with slip velocity and convective conditions has been analyzed in this examination. The heat transfer mechanism is also scrutinized in conjunction with thermal radiation and viscous dissipation. The governing expressions of the proposed model are followed under the assumptions of the small Reynolds number hypothesis and long wavelength. The perturbation technique has been implemented to yield the outcome for velocity, energy, and streamlining. The pumping characteristic has been estimated by the Weddles rule. The impressions of numerous pertinent parameters on the flow fields are highlighted via graphs. It is observed from the current flow analysis that the velocity of the flow increases by increasing the Sutterby fluid parameter while it declines with the magnetic parameter. Furthermore, the thermal radiation parameter decreases the temperature distribution of fluid. The current model has been used in bio-engineering processes, industrial fluid mechanics, thermal processing, and cooling systems.

Analysis of nonlinear radiative peristaltic transport of hyperbolic tangent nanomaterial with chemical reaction

In this research, we examine the mixed convection effects for peristaltic motion of tangent hyperbolic nanoliquid. On flexible channel walls, partial slip characteristics are applied. Influences of Ohmic heating and viscous dissipation are analyzed in the modeling. We evaluated the transportation of heat under nonlinear thermal radiation. The governing problem is first reduced into dimensionless form by using suitable transformations and then numerical technique is employed for the solution after utilizing small Reynolds number and large wavelength assumption. The problem is simulated employing the so-called Buongiorno’s formulation which includes the features of thermophoresis and random motion. In addition, a mass transport scheme is developed with first-order chemical reactions. The roles of sundry variables on velocity, coefficient of heat transfer, temperature and concentration are examined graphically. Velocity and temperature show similar behavior against thermal Grashof parameter. Concentration decreases for larger thermophoresis parameter. Heat transfer coefficient and temperature have decreasing effects against radiation parameter.

Chemically reactive MHD peristaltic flow of Jeffrey nanofluid via a vertical porous conduit with complaint walls under the effects of bioconvection and double diffusion

Inspired by significant physiological applications of peristaltic transport, a mathematical model for the peristaltic pumping of a Jeffrey nanofluid containing gyrotactic microorganisms through a flexible and vertical symmetric channel is investigated, along with the effects of thermal radiation, heat source/sink, chemical reaction, porous medium and Hall current. Swimming microorganisms in a model of non-Newtonian fluid has several biological and ecological benefits, including in the pharmaceutical industry, biofertilizers, biofuel technology, biosensors, etc. With these presumptions in mind, a conducting Jeffery fluid flow containing microorganisms via a porous vertical conduit is proposed. The expressions for the flow quantities are established by solving the governing equations of this study analytically using the homotopy perturbation method (HPM). A detailed examination is performed using the tables and graphical representations to comprehend the impact of significant components on this analysis. In addition, the results for Newtonian nanofluid are obtained as a special case and discovered that its velocity is lower than the Jeffrey nanofluid. It is observed that the best velocity distribution can be seen at larger thermal Grashof number and Darcy number. The size of the trapped bolus enhances with the increase of the Hall parameter. Furthermore, the density of the motile microorganism distribution declines for higher bioconvection Peclet number and bioconvection constant.

Biomedical and engineering aspects of nonlinear radiative peristaltic transport in chemically reactive blood flow of Ellis nanofluid in an asymmetric channel with activation energy

• Here peristaltic transport phenomenon is examined via asymmetric channel. • Ellis fluid model is utilized for the flow behavior. • Streamlines is presented. • Nonlinear radiative heat flux is used in energy expression. In the recent couple of decades, a momentous curiosity has been established in reviewing a peristaltic transport due to its noteworthy utilizations in biomathematics, biomedical engineering and biosciences. Peristaltic phenomenon is a significant mechanism of peristaltic pumps and physiological phenomenon. With the development of clinical and medical sciences, it has been demonstrated that the physiological materials don't act like Newtonian materials. Thus, in order to comprehend the salient characteristics of physiological materials (fluids) during peristalsis, the choice of suitable fluid model is important. In the present research letter, effects of heat and mass transport is addressed in flow of Ellis fluid nanofluid via asymmetric channel. The nonlinear radiative effects are imposed to studying the heat transfer transport. Features of activation energy is considered in the modeling of concentration equation. The governing expressions of proposed model is followed under the assumptions of small Reynolds number hypothesis and long wavelength. To investigate the salient characteristics of flow features and heat and mass transport, analytical solutions have been obtained for the velocity, temperature, pressure gradient and concentration. The obtained outcomes is presented through graphically and discussed in details physically. Furthermore, streamlines is sketched for different parameters. The current theoretical attempt discloses various motivating performance that warrant further investigation on different Newtonian as well as non-Newtonian materials. It is observed from the current flow analysis that the impact of slip factor highlights reverse behavior on the channel wall whereas the impact of Prandtl and Schmidt number respectively on the temperature and concentration equations have a decreasing and increasing trend.

Peristaltic Transport of Hyperbolic Tangent Fluid in an Asymmetric Channel Through a Porous Medium

The study explores to analyze the problem of peristaltic mechanism of tangent hyperbolic fluid through porous medium in an asymmetric channel. The two-dimensional peristaltic flow of hyperbolic tangent fluid in an asymmetric channel through porous medium is analyzed under the long wavelength and low Reynolds number assumptions. The flow is investigated in a wave frame of reference moving with velocity of the wave. The perturbation series is used to obtain the solution for stream function, pressure gradient and pressure rise. The results were studied for different values of the physical parameters of the problem and illustrated graphically. It is observed that pressure rise diminishes for the larger values of Darcy number. Pressure gradient decreases for increment in Darcy number. Hyperbolic tangent fluid model anticipates the shear thinning phenomenon very accurately and are being used mostly in laboratory experiments and industries.

Peristaltic transport of MHD Ree–Eyring fluid through a flexible channel under the influence of activation energy

Peristalsis of Ree–Eyring non-Newtonian fluid is significant to investigate the rheological features of biological fluids such as blood, saliva, intravascular fluids, intracellular fluids, and interstitial fluids. As a consequence of this development, the present article explores the cross-diffusive magnetohydrodynamic peristaltic transport of a Ree–Eyring fluid conveying tiny particles through a flexible porous channel under the influence of activation energy. A lubrication approach is adopted to reduce the complexity of the system. The analytical solution is achieved for the velocity field. In addition, the Runge–Kutta-based shooting technique is employed to solve the temperature and fluid concentration equations. Dual solutions are executed for the Newtonian and Ree–Eyring fluid cases and discussed through tabular and graphical findings for several sets of pertinent parameters. In this investigation, it is perceived that an enhancement in the Darcy number optimizes the velocity field. The fluid temperature rises with elevated values of the Brinkman and Dufour numbers whereas the reverse trend is noticed in the fluid concentration field for Soret and activation energy parameters. Moreover, the obtained outcomes are applicable to a variety of fields in the medical sciences and engineering, such as the radiosurgery, the spectroscopy, the optoelectronics, the power conversion devices, and the nuclear reactor cooling.

Analytical Investigation of Electroosmotically Regulated Peristaltic Propulsion of Cu-water Nanofluid Through a Microtube

The purpose of this investigation is to determine and analyze the fluid inertia of electroosmotic flow on the Cu-water nanofluids by peristaltic transport. Fluid flow properties and heat transfer characteristics are studied for aqueous ionic nanofluids through a vertical microtube of a constant radius. Streamlines are plotted for the governing fluid flow.

Mathematical Modelling for Peristaltic Flow of Sutterby Fluid Through Tube under the Effect of Endoscope

In this work, the mathematical modelling of peristaltic transport for incompressible Sutterby fluid through the cavity between coaxial tubes where the inner tube is fixed and the outer tube has sinusoidal rhythmic fluctuations along the channel’s walls is presented. Under the assumption of long wavelength and the low Reynolds number, the governing equations (motion, temperature, and concentration) are illustrated in cylindrical coordinates. The analytical solution for the temperature and concentration of the fluid flow is obtained using Mathematica 11.3, whereas the perturbation technique is employed to find the closed form of the velocity profile. The variation of the axial velocity, stream function, temperature, concentration, and heat transfer are graphically discussed under the impact of interesting involved parameters.

Dynamic patterns of electroosmosis peristaltic flow of a Bingham fluid model in a complex wavy microchannel

The purpose of this paper is to present a rigorous analysis of streamline patterns and their bifurcation to a viscoplastic Bingham fluid model that involves heat and mass transfer in an electroosmotic flow through a complex wavy microchannel. The Bingham fluid act as a solid medium in the core layer, which divides the channel into three distinct sections utilized to model the problem as a switched dynamical system between these zones. To track multiple steady states (stagnation points) and related trapping phenomena, we perform both analytical and numerical bifurcation analysis of each subsystem with respect to different physical effects such as electrical double layer thickness and Helmholtz-Smoluchowski velocity. The key feature of the technique presented here is its ability to reveal the peristaltic transport characteristics of the Bingham fluid model in the presence or absence of symmetric flow properties. The primary novelty here is the ability to regulate the location and stability of the equilibrium points in the domain of interest. This leads to the detection of global bifurcations that reflect important dynamic elements of the model. Our results highlighted a new category of complex behavior that controls transitions between qualitatively different transport mechanisms, as well as a class of non-classical trapping phenomena.

Peristaltic transportation of hybrid nano-blood through a ciliated micro-vessel subject to heat source and Lorentz force

Peristaltic transportation of hybrid nano-blood through a ciliated micro-vessel subject to heat source and Lorentz force

Thermally progressive Particle-Cu/Blood peristaltic transport with mass transfer in a Non-Uniform Wavy Channel: Closed-form exact solutions

The motivation behind writing the current article is to mathematically study the thermally driven transport of solute particles (measured in micro to nano meters) suspended in blood in an Esophagus mathematically taken as a non-uniform channel. The aim of the present study is to see the effects of solute particles with blood and nanoparticles in Esophagus to see its application in drug delivery and biomedical engineering etc. It also has many applications in microscale phenomena in physiology. Here blood is taken as a base fluid and nanofluid is prepared by the suspension of copper oxide nanoparticles in blood. Copper oxide is extremely useful in the medical domain for drug delivery and cancer treatment. To further study the impact of nanomedicine delivery we considered copper nanoparticles embedded in blood along other small sized solute particles. The mathematical formulation is performed in a rectangular coordinate system and constitutive flow equations are linearized by the implementation of approximations of low Reynolds number and large wavelength. The exact solution of reduced coupled and nonlinear set of equations for fluid particle velocity, temperature and fluid-particle composition profiles is computed through Mathematica while pressure rise is calculated by applying numerical integration. The effect of notable emerging parameters is discussed through graphs. It is observed that velocity rises with an increase in suspension and Casson fluid parameter, whereas opposite results are observed for temperature distribution. Nanoparticles volumetric fraction contribute to decelerating fluid flow and upsurge temperature. Schmidt number influences the fluid-particle composition by lessening it. PACS number: 47.10. A−; 47.35.Pq; 47.85.-g.

Study of peristaltic transport of a dusty second-grade fluid in a curved configuration

Study of peristaltic transport of a dusty second-grade fluid in a curved configuration

Electro-osmotically modulated magneto hydrodynamic peristaltic flow of menthol based nanofluid in a uniform channel with shape factor

Current article is a study on peristaltic transport of menthol electrolytes altered utilizing an external electric field which contributes to the creation of a net surface charge attracting counter ions and repels co ions from the menthol based nanofluid, thus preceding the formation of an electrical double layer (EDL), a region of net charges at surface vicinity. Effects of electroosmotic body forces are studied on the base fluid with and without the presence of copper nanoparticles. Menthol-based fluid is chosen to owe to its utility in medicines and flavoring. Combine effects of electro-osmotically modulated magneto hydrodynamic peristaltic flow for Menthol based nanofluid in a uniform channel with shape factor is not discussed so far in literature. Streamlines are drawn to examine the collective influence of electroosmosis and peristalsis on trapping a fluid volume (e.g., bolus) inside the channel. Trapping is reported to be significantly influenced by an electric field rather than an electro-osmotic parameter. The present investigation may also be beneficial in the design of organs on chip-like devices for improved drug design and delivery.