Peristaltic Flow Of non-Newtonian Fluid Research Articles

Analytical investigation of peristaltic flow of non-Newtonian fluid in a vertical nonuniform channel with heat and mass transfer: Applications to physiological systems

Analytical investigation of peristaltic flow of non-Newtonian fluid in a vertical nonuniform channel with heat and mass transfer: Applications to physiological systems

Mathematical computations for the physiological flow of Casson fluid in a vertical elliptic duct with ciliated heated wavy walls

This mathematical investigation discloses the peristaltic flow of non-Newtonian fluid in a vertical duct with an elliptic cross-section and ciliated walls. The Casson fluid’s non-Newtonian model is utilized for an elliptic duct with heated ciliated walls. The physical aspects of cilia-driven metachronal wave combined with sinusoidal wavy wall movement are highlighted. A set of dimensionless partial differential equations with relevant boundary conditions is obtained after simplifying the dimensional form of governing equations using appropriate transformations. A complete mathematical method is conveyed to get exact solutions for this convection heat transfer problem. The final solutions are further analyzed through graphical results. The increase in the value of changes the mechanism from non-Newtonian to a Newtonian flow. Moreover, if is increased to infinity, then it becomes a complete Newtonian fluid flow problem. Moreover, the velocity increases with an increasing value of .

Galerkin finite element analysis for peristaltic flow of micropolar fluid through porous soaked inclined tube independent of wavelength

In this novel numerical investigation, the application of well-renowned numerical technique known as Galerkin finite element method on full form of Navier-Stokes equations presented peristaltic flow of non-Newtonian fluid confined by a uniformly saturated porous medium. The rheological aspects of non-Newtonian material are discussed by considering micropolar fluid. The flow model consists of system of nonlinear partial differential equations with mixed boundary condition. The flow also experienced an externally applied magnetic field. The effects of inertial forces and the results independent of wavelength are obtained by dropping the presumptions of lubrication theory in modelling the governing equations. The numerical solution for formulated problem in terms of partial differential expressions is worked out via Galerkin finite technique in view of six nodal triangular elements. The enhancement in the inertial forces gives impressive pressure enhancement against wavelength while opposed the fluid flow in the vicinity of peristaltic walls of the tube but supported the fluid flow in the central region of the tube. The present results are also compared with the available results after applying lubrication theory and found in reliable agreement.

Peristaltic flow of non-Newtonian fluid through an inclined complaint nonlinear tube: application to chyme transport in the gastrointestinal tract

Acknowledging the novel significances of a peristaltic phenomenon in various biological and physiological systems, researchers in the current decade perform admirable investigations. Studies on this topic still need attention due to the prestigious applications of the peristaltic event in the gastrointestinal tract, artificial lung, heart equipment, and blood circulation in the body. This endeavor explores the novel impact of slip on the peristaltic flow of non-Newtonian Jeffrey liquid through an inclined tube. The effect of varying fluid properties (variable viscosity and variable thermal conductivity) and wall properties is considered. The governing equations are turned dimensionless by appropriate similarity transformations. The series solution is obtained for velocity, temperature, and concentration equation. The graphical representation of pertinent parameters on the physiological flow quantities is depicted by applying MATLAB 2019b program. The obtained results reveal that the up-hosted values of the viscosity parameter enhance distributions of velocity and temperature. Further, the impact of variable viscosity slightly enhances the magnitude of the trapped bolus. Moreover, the present investigation finds its applications to examine the bright insight appliances of chyme through the gastrointestinal tract.

Mathematical computations for Peristaltic flow of heated non-Newtonian fluid inside a sinusoidal elliptic duct

This research work interprets the mathematical study of peristaltic flow of non-Newtonian fluid across an elliptical duct. The heat transfer mechanism for this elliptical duct problem is also considered in detail. The mathematical equations for Casson fluid model are developed and then by using appropriate transformations and long wavelength approximation, this mathematical problem is converted into its dimensionless form. After converting the problem in dimensionless form, we have obtained partial differential equations for both velocity and temperature profiles. These partial differential equations are solved subject to given boundary conditions over elliptical cross sections and exact mathematical solutions are obtained. The results are further discussed by plotting graphical results for velocity, pressure gradient, temperature, pressure rise and streamlines.

Numerical investigation of thermo-physical properties of non-newtonian fliud in a modelled intestine

Several kinds of researches have been conducted on peristaltic flow of non-Newtonian fluid in modelled oesophagus, stomach and intestine. However, further investigation is still needed especially in the area of mechanical shear stress, the influence of inlet temperature and velocity, Nutsselt number and the history of strain rates experienced by fluid particles. This study presents the numerical investigation of thermo-physical properties of non-Newtonian fluid in a modelled intestine. The properties investigated were fluid temperature, velocity, Nutsselt number and wall shear stress. Numerical simulation was performed by solving 3D Navier-Stokes and continuity equations. The intestinal model was drawn by using Autodesk Inventor 2017 while the numerical investigation was conducted by using ANSYS FLUENT 16.0. The Computational Fluid Dynamics solver employs the Finite Element Method (FEM) to discretize the governing equations. Chyme, Hibiscus Sabdariffa Roselle (Sobo), Soymilk (Soya) and Pap (Ogi) were the working fluids used for the investigation. Analyses of the results showed that the variation of fluid temperature and heat transfer with axial position across the length of intestinal model were not significantly influenced by the variation of the inlet velocity. Expansion of the model about the pulsating part enhanced heat transfer and nutrient delivery to the intestinal walls. Variation of the inlet velocity did not affect the average Nutsselt number. Chyme and Sobo had the highest and lowest Nutsselt number, respectively. Sobo displayed the best fluid properties considering flow behaviour while Soya displayed the best properties for thermal history. The results presented in this study are of countless importance in medical, paramedical, engineering applications, thermoregulation system, thermotherapy, and biomedical disciplines, where analyses and investigation of gastrointestinal tract history can be understudied.

Peristaltic Flow of Non-Newtonian Fluid with Slip Effects: Analytic and Numerical Solutions

This study describes two-dimensional peristaltic flow of non-Newtonian fluid through a porous asymmetric channel under the influence of the magnetic field. The slip effect is included in the model. The flow is investigated in a wave frame of reference moving with a velocity of the wave. The momentum equations are linearized using long wavelength and low Reynolds number approximation. The transformed equations have been solved numerically. Analytic solutions for stream function, velocity and pressure gradient are also obtained. The effects of various physical parameters of interest have been explained graphically. It is found that the size of the trapped bolus reduces for large value of the velocity slip parameter.

SIGNIFICANCE OF HEAT AND MASS PROCESS IN PERISTALSIS OF A RHEOLOGICAL MATERIAL

This article investigates the thermal-diffusion and diffusion-thermo effects in the peristaltic flow of non-Newtonian fluid in an asymmetric convectively heated channel. The asymmetric nature of the channel here is due to different amplitudes and phases of propagation waves. Mathematical formulation is based on the constitutive relations of third-grade fluid. The solutions of the resulting equations through lubrication approach are given for the stream function, temperature, and concentration. Effects of several parameters of interest are displayed and discussed through plots.

Theoretical Study of Heat Transfer on Peristaltic Transport of Non-Newtonian Fluid Flowing in a Channel: Rabinowitsch Fluid Model

The present investigation is concerned with the problem of heat transfer and peristaltic flow of non-Newtonian fluid using Rabinowitsch fluid model through a channel under long wavelength and low Reynolds number approximation. Expressions for velocity, pressure gradient, pressure rise, friction force and temperature have been obtained. The effect of different parameters on velocity, pressure gradient, pressure rise, streamlines, friction force and temperature have been discussed through graphs.

Slip Effect on MHD Peristaltic flow of Non-Newtonian Fluid through compliant walls

Slip Effect on MHD Peristaltic flow of Non-Newtonian Fluid through compliant walls

Effect of Inclined Magnetic Field on the Peristaltic Flow of Non-Newtonian Fluid with Partial Slip and Couple Stress in a Symmetric Channel

Effect of Inclined Magnetic Field on the Peristaltic Flow of Non-Newtonian Fluid with Partial Slip and Couple Stress in a Symmetric Channel

Effect of Slip on Peristaltic Flow of Powell-Eyring Fluid in a Symmetric Channel

Peristaltic flow of non-Newtonian fluid in a symmetric channel with partial slip effect is examined. The non-Newtonian behavior of fluid is characterized by the constitutive equations of Powell-Eyring fluid. The motion is induced by a sinusoidal wave traveling along the flexible walls of channel. The flow is analyzed in a wave frame of reference moving with the velocity of wave. The equations governing the flow are solved by adopting lubrication approach. Series solutions for the stream function and axial pressure gradient are obtained. Impact of slip and other emerging flow parameters is plotted and analyzed graphically.

Effect of Slip on Peristaltic Flow of Powell-Eyring Fluid in a Symmetric Channel

Peristaltic flow of non-Newtonian fluid in a symmetric channel with partial slip effect is examined. The non-Newtonian behavior of fluid is characterized by the constitutive equations of Powell-Eyring fluid. The motion is induced by a sinusoidal wave traveling along the flexible walls of channel. The flow is analyzed in a wave frame of reference moving with the velocity of wave. The equations governing the flow are solved by adopting lubrication approach. Series solutions for the stream function and axial pressure gradient are obtained. Impact of slip and other emerging flow parameters is plotted and analyzed graphically.

Peristaltic motion of third grade fluid in curved channel

Analysis is performed to study the slip effects on the peristaltic flow of non-Newtonian fluid in a curved channel with wall properties. The resulting nonlinear partial differential equations are transformed to a single ordinary differential equation in a stream function by using the assumptions of long wavelength and low Reynolds number. This differential equation is solved numerically by employing the built-in routine for solving nonlinear boundary value problems (BVPs) through the software Mathematica. In addition, the analytic solutions for small Deborah number are computed with a regular perturbation technique. It is noticed that the symmetry of bolus is destroyed in a curved channel. An intensification in the slip effect results in a larger magnitude of axial velocity. Further, the size and circulation of the trapped boluses increase with an increase in the slip parameter. Different from the case of planar channel, the axial velocity profiles are tilted towards the lower part of the channel. A comparative study between analytic and numerical solutions shows excellent agreement.

Effects of Induced Magnetic Field on the Peristaltic Flow of an Eyring-Powell Fluid

AbstractIn this article, we deal with the effects of an induced magnetic field on the peristaltic flow of an Eyring-Powell fluid. The purpose of the current investigation was to study the effects of an induced magnetic field on the peristaltic flow of non-Newtonian fluid. The two-dimensional equations of an Eyring-Powell fluid are modeled in a Cartesian coordinates system and simplified under the assumptions of long wavelength and low Reynolds number approximations. The problem that arises is solved for stream function, magnetic force function, and axial pressure gradient using a regular perturbation method. The expressions for pressure rise, velocity profile, pressure gradient, and stream functions are plotted for various parameters of the problem and discussed.

Application of radially varying magnetic field on a peristaltic flow of non-Newtonian fluid in the presence of heat and mass transfer

This article deals with the variable MHD effects on the peristaltic flow of a non-Newtonian fluid in the presence of heat and mass transfer. The walls of annulus are maintained at different temperatures. Continuity, momentum concentration, and energy equations are utilized in the mathematical analysis. Two types of solutions, namely, the exact and numerical, are derived. These solutions are compared and discussed. © 2010 Wiley Periodicals, Inc. Heat Trans Asian Res; Published online in Wiley Online Library (wileyonlinelibrary.com). DOI 10.1002/htj.20314

Effects of induced magnetic field on peristaltic flow of Johnson-Segalman fluid in a vertical symmetric channel

In this paper, the influence of heat transfer and induced magnetic field on peristaltic flow of a Johnson-Segalman fluid is studied. The purpose of the present investigation is to study the effects of induced magnetic field on the peristaltic flow of non-Newtonian fluid. The two-dimensional equations of a Johnson-Segalman fluid are simplified by assuming a long wavelength and a low Reynolds number. The obtained equations are solved for the stream function, magnetic force function, and axial pressure gradient by using a regular perturbation method. The expressions for the pressure rise, temperature, induced magnetic field, pressure gradient, and stream function are sketched and interpreted for various embedded parameters.

Influence of heat and mass transfer on a peristaltic motion of a Jeffrey-six constant fluid in an annulus

In the present investigation we have studied the combined heat and mass transfer effects on the peristaltic flow of non-Newtonian fluid. The governing equations are simplified under the assumptions of longwave length low Reynold’s number approximation. The resulting highly nonlinear equations are solved analytically and numerically. At the end the numerical results are discussed pictorially for various emerging parameters of interest.