Peristaltic Transport Of non-Newtonian Fluid 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.

Impact of Variable Liquid Properties on Peristaltic Transport of Non-Newtonian Fluid Through a Complaint Non-Uniform Channel

The present investigation emphasises a new attempt at the peristaltic mechanism of Eyring Powell fluid through a non-uniform channel. The analysis is performed in the presence of wall properties under the influence of variable liquid properties, and the flow problem is mathematically developed. The channel walls are subjected to no-slip conditions with long-wavelength and low Reynolds-number approximations employed in the study. The nonlinear governing equations are normalised using relevant non-dimensional parameters, and the solutions are obtained with the help of a regular perturbation technique. The influence of pertinent physical parameters of interest, such as velocity, temperature, concentration and streamlines, are represented graphically. The investigation reveals that the material parameters and elastic parameters of the Eyring Powell fluid model strongly affect the velocity and temperature profiles and that the opposite behaviour has been observed in the material parameters.

Entropy Generation for MHD Peristaltic Transport of Non-Newtonian Fluid in a Horizontal Symmetric Divergent Channel

The analysis in view is proposed to investigate the impacts of entropy in the peristaltically flown Ree–Eyring fluid under the stress of a normally imposed uniform magnetic field in a non-uniform symmetric channel of varying thickness. The administering equations of the present flow problem are switched into the non-dimensional form and then reduced by the availing of long wavelengths and creeping flow regime restrictions. The analytical treatment for the developed problem is performed to attain closed-form solutions which are further displayed as graphs of velocity, pressure, temperature, and entropy distribution. The trapping phenomenon has also been an area of our current examination. The role of relevant pronounced parameters such as the Brinkmann number, Hartmann number, and Ree–Eyring parameter for throwing vivid impacts are also concerned. It has been inferred that both the Brinkmann number and Ree–Eyring parameter with rising values inflate temperature and entropy profiles. The velocity profile shows the symmetric nature due to the horizontally assumed symmetric channel of varying thickness. The circulation of streamlines and bolus formations is visibly reduced in response to the increasing Hartmann number.

Global Dynamics and Bifurcation Analysis for the Peristaltic Transport Through Nonuniform Channels

Abstract The paper provides an analysis of dynamic behavior of peristaltic transport of non-Newtonian fluid in a nonuniform diverging channel with various waveforms. The canonical object of the study is the bifurcation techniques of the physical parameters, from which information on the dynamic response of peristaltic flow can be gained. Special attention is paid to the interaction between local and global dynamics through a nonuniform channel with different wall waveforms, which is shown to generate a range of creative behaviors, involving heteroclinic and homoclinic connections to saddle stagnation points. These closed invariant curves form a novel phenomenon involving different flow scenarios in a finite region, without the need for varying parameters. The bifurcation analytical study is complimented by numerical computations, both of which are used to highlight the impacts predicted on flow parameters, such as Grashof, solute Grashof, heat source/sink, and thermal radiation parameters. We show that properly accounting for the interaction between invariant sets, multiple stagnation points, and streamline patterns leads to unprecedented levels of flow control characteristics. We also compare the bifurcation behaviors of peristaltic transport through uniform and nonuniform channel under different waveforms that will be useful for the topologies controlling stream flow with complex shape.

Bifurcation phenomena in the peristaltic transport of non-Newtonian fluid with heat and mass transfer effects

An in-depth bifurcation analysis is carried out for the peristaltic transport of non-Newtonian fluid with heat and mass transfer through an axisymmetric channel. Based on the perturbation technique, analytical solutions for flow rate and stream function are presented. This function and its velocity fields build a nonlinear dynamic system in two spatial dimensions. We are then interested in identifying the global and local bifurcation of the invariant curves in which the recurrent fluid dynamics close to the stagnation points change qualitatively. For this purpose, a geometric description, analytical expressions and the development of a computational algorithm are provided to recognize the multiplicity of admissible/virtual stagnation points. In a variety of physical parameters, the analysis highlights the presence of several types of nonlinear phenomena, such as infinite/finite heteroclinic and homoclinic orbits, saddle-node and border-collision bifurcations. These results guide the streamline patterns for capturing novel complex behaviors such as multiple trapping phenomena and critical transition to distinguish between different flow regions.

Effects of velocity second slip model and induced magnetic field on peristaltic transport of non-Newtonian fluid in the presence of double-diffusivity convection in nanofluids

The significance of velocity second slip model of non-Newtonian fluid on peristaltic pumping in existence of double-diffusivity convection in nanofluids and induced magnetic field is deliberated. Mathematical modelling of current problem is defined in fixed frame of reference and then abridges under well- known conjecture of long wavelength and low but finite Reynolds number approximation. Precise results of coupled nonlinear partial differential equations are presented. Graphical results exhibit the performance of various supportive parameters. The phenomenon of stream functions with different wave forms is also discussed in detail. The effects of thermal energy, solute concentration, and nanoparticle fraction are also described using graphical representation.

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.

Homogeneous-heterogeneous reaction effects in peristalsis through curved geometry

This paper looks at the influence of homogeneous-heterogeneous reactions on the peristaltic transport of non-Newtonian fluid in a curved channel with wall properties. Constitutive relations for thermodynamic third grade material are utilized in the problem development. An electrically conducting fluid in the presence of radial applied magnetic field is considered. The governing flow equations are developed in the presence of viscous heating. Mathematical computations are simplified employing long wavelength and low Reynolds number considerations. The solutions for velocity, temperature, concentration and heat transfer coefficient are obtained and examined. The features of sundry parameters are analyzed by plotting graphs.

Heat and mass transfer on the peristaltic transport of non-Newtonian fluid with creeping flow

A new mathematical model has been developed for the peristaltic transport of Maxwell fluid with heat and mass transfer, while taking into account the effect of thermal diffusion (Soret), occurring in an asymmetric channel with creeping flow. The inertia terms are omitted from the equations of motion, which leads to solutions that approximately valid for low Reynolds number, i.e. Re≪1. The walls are kept at different but constant temperatures and concentrations. A perturbation solution is acquired, which satisfies the momentum, energy and concentration equations for the case by choosing a small wave number. Numerical results are evaluated for pressure rise and frictional forces per wavelength. The velocity, temperature and concentration fields have been appraised for diverse values of the parameters entering into the problem. The influence of diverse parameters of interest on pumping, trapping, temperature and concentration profiles has been investigated graphically.

Peristaltic transport of non-Newtonian fluid in a diverging tube with different wave forms

The present study investigates the peristaltic transport of non-Newtonian fluid, modeled as power law and Bingham fluid, in a diverging tube with different wall wave forms: sinusoidal, multi-sinusoidal, triangular, trapezoidal and square waves. Fourier series is employed to get the expressions for temporal and spatial dependent wall shapes. Solutions for time average pressure rise — flow rate relationship are computed for different amplitude ratios, φ , power law indices, n , yield stresses, τ 0 , and wave shapes. Results indicate that φ and n play a vital role in peristalsis. When φ of the sinusoidal wave is increased from 0.6 to 0.8, the maximum pressure rise, Δ P L max , increased by a factor of 10. Increasing n from 0.6 to 1 increased the Δ P L max by a factor of 3. For Bingham fluid with φ = 0.5 , a 25% increase in Δ P L , max is obtained when τ 0 , is reduced from 1 (non-Newtonian) to 0 (Newtonian). Of all the wave shapes considered, Δ P L max obtained is maximum for the square wave and minimum for the triangular wave (4–15 times less depending on φ ). Finally, pathlines of massless particles are traced to investigate the occurrence of reflux. It is observed that, even for zero flow rate, reflux occurs near the tube wall and the thickness and shape of the reflux region strongly depends on φ , n , and shape of the peristaltic waves.

Peristaltic Flow of a Magnetohydrodynamic Johnson–Segalman Fluid

The problem of peristaltic transport of non-Newtonian fluid represented by the constitutive equation for a Johnson–Segalman fluid is analyzed for the case of a planar channel. The fluid is electrically conducting. The walls of the channel are electrically insulated and are transversely displaced by an infinite, harmonic travelling wave of long wavelength. The general solution of the non-linear equation resulting from the momentum equation is constructed for all values of Weissenberg number. The perturbation solution is also obtained. Some graphs are plotted for interesting physical parameters and discussed.