Peristaltic Flow Of Viscous Fluid Research Articles

Novel Scientific Simulations (Finite Element Method) for Peristaltic Blood Flow in an Asymmetric Channel: Applications of Magnetic and Inertial Forces

Background: Recently, an utmost attention has been devoted by researchers on the prestaltic movement of viscous flows due to its novel importance in daily life problems, human body and many physical systems. In era of biological systemns and health sciences, the prestaltic mechanism attribute impotant applications blood circulation in vessels, blood pumping in heart, food in esophagus etc. Moreover, the applications of novel Galerkin finite element scheme for solution of nonlinear partial differential equations associated with peristaltic flow problems is another challenging task for mathematicians. Owing to such motivativations in mind, this computational presents the magnetohydrodynamic peristaltic flow of viscous fluid at high Reynolds number induced by an asymmetric wall channel. The novel impact of magnetic force are also utilized as a novelty. Method: The equations which exploit the flow problem are numerically tackled with help of Galerkin finite element scheme. Results: The results are computed and show great validation for physical parameters like wave constants, amplitude ratio and Reynolds number. The validation of obtained results are worked out with already claimed data and achieved an excellent accuracy. The mechanisms of transport process is addressed in view of involved physical parameters namely wave constant, Reynolds number and Hartmann number. The graphical observations are successfully revealed for all parameters.

Impact of Homogeneous/Heterogeneous Reactions and Convective Conditions on Peristaltic Fluid Flow in a Symmetric Channel

Simultaneous impacts of homogeneous and heterogeneous reaction and Joule heating in magnetohydrodynamic (MHD) peristaltic flow of viscous fluid in a symmetric channel are analyzed in this investigation. Attention has been focused on designing and simulating a mathematical model for a viscous fluid in presence of viscous dissipation. Long wavelength approximation in wave frame analysis is implemented. Expressions for the stream function, axial pressure gradient, temperature, heat transfer coefficient and concentration are derived and discussed. In addition, the trapping phenomenon is analyzed. The effects of the physical quantities of concern are viewed with a special focus on homogeneous and heterogeneous reaction and convective conditions for the transfer of heat at the walls. It is observed that the pressure rise first increases and then decreases with an increase in amplitude ratio. Effects of Brinkman and Hartmann numbers on temperature are quite analogous and a temperature rise is observed, however, temperature decays for the increased value of Biot number. Moreover, fluid concentration decreases when the value of the homogeneous reaction parameter is increased.

Heat Transfer and Slip Effects on the Mhd Peristaltic Flow of Viscous Fluid in A Tapered Microvessels: Application of Blood Flow Research

This research work is proposed at reporting heat transfer on the peristaltic flow of an electrically conducting fluid in a tapered microvessels under the lubrication theory. The proposed geometry analyzes the blood flow in the heart vessels and maintain the pressure level in the human body. The solutions for the distribution of axial velocity, temperature distribution, pressure gradient and stream function have been obtained analytically. The influences of many evolving parameters on the flow characteristics are revealed and deliberated with the assist of figures. The mathematical outcomes show that the trapped bolus enhances in size with increasing slip parameter but decreases with the increase of Grashof number.

Numerical simulation for entropy generation in peristaltic flow with single and multi-wall carbon nanotubes

Purpose The novel mechanical, chemical and thermodynamics characteristics of both single- and multi-wall carbon nanotubes (CNTs) make them a subject of much attention for the scientists and engineers from all domains. Fluid flows subject to CNTs are significant in biomedical engineering, energy storage systems, domestic and industrial cooling, automobile industries and solar energy collectors, etc. Keeping such effectiveness of CNTs in mind, this paper aims to examine peristaltic flow subject to CNTs in an asymmetric tapered channel. Both single and multiple walls CNTs are considered. The viscosity of nanomaterial depends on nanoparticles volume fraction and temperature. Total entropy rate through second law of thermodynamics is calculated. Heat source/sink and nonlinear heat flux are accounted. Design/methodology/approach The complicated flow expressions are simplified through lubrication approach. The velocity, temperature and entropy expressions are numerically solved by the built-in-shooting method. Findings The solutions for entropy generation, temperature and velocity are plotted, and the influences of pertinent variables are examined. The authors noticed that entropy generation is an increasing function of the Brinkman number. Originality/value The originality of this work is to communicate peristaltic CNTs-based nanomaterial peristaltic flow of viscous fluid in an asymmetric channel. No such consideration is yet published in the literature.

Hall current and Joule heating effects on peristaltic flow of viscous fluid in a rotating channel with convective boundary conditions

The present article has been arranged to study the Hall current and Joule heating effects on peristaltic flow of viscous fluid in a channel with flexible walls. Both fluid and channel are in a state of solid body rotation. Convective conditions for heat transfer in the formulation are adopted. Viscous dissipation in energy expression is taken into account. Resulting differential systems after invoking small Reynolds number and long wavelength considerations are numerically solved. Runge-Kutta scheme of order four is implemented for the results of axial and secondary velocities, temperature and heat transfer coefficient. Comparison with previous limiting studies is shown. Outcome of new parameters of interest is analyzed.

Peristaltic motion of magnetohydrodynamic viscous fluid in a curved circular tube

In this paper we investigate the peristaltic flow of viscous fluid through three-dimensional curved tube in the presence of the applied magnetic field. We present a mathematical model and an asymptotic solution for the three dimensional Navier-Stokes equations under the assumption of small inertial forces and long wavelength approximation. The effects of the curvature of the tube are investigated with particular interest. The solution is sought in terms of regular perturbation expansion for small curvature parameter. It is noted that the velocity field is more sensitive to the curvature of tube in comparison to the pressure gradient. It is shown that peristaltic magnetohydrodynamic (MHD) flow in a straight tube is the limiting case of this study.

Effect of melting heat transfer on peristalsis in the presence of thermal radiation and Joule heating

Mathematical model is developed for peristaltic flow of viscous fluid through a compliant wall channel subject to melting heat transfer. Fluid is incompressible and magnetohydrodynamic. Analysis has been performed in the presence of Joule heating and thermal radiation. Solutions for small wave number are obtained. Physical quantities of interest are examined for various parameters of interest.

Mixed convective heat and mass transfer analysis for peristaltic transport in an asymmetric channel with Soret and Dufour effects

The present investigation addresses the simultaneous effects of heat and mass transfer in the mixed convection peristaltic flow of viscous fluid in an asymmetric channel. The channel walls exhibit the convective boundary conditions. In addition, the effects due to Soret and Dufour are taken into consideration. Resulting problems are solved for the series solutions. Numerical values of heat and mass transfer rates are displayed and studied. Results indicate that the concentration and temperature of the fluid increase whereas the mass transfer rate at the wall decreases with increase of the mass transfer Biot number. Furthermore, it is observed that the temperature decreases with the increase of the heat transfer Biot number.

Peristaltic Flow of Viscous Fluid in a Rectangular Duct with Compliant Walls

In the present article, we have examined the peristaltic flow of a viscous fluid in a rectangular channel with compliant walls. The long wavelength and low Reynolds number approximations are employed to simplify the governing equations. The reduced linear nonhomogeneous partial differential equations are solved by using the eigenfunction expansion method. The physical features of pertinent parameters have been discussed by plotting graphs of velocity for both two-dimensional and three-dimensional cases. The trapping phenomenon is also discussed.

Peristaltic Flow with Inclined Magnetic Field and Convective Boundary Conditions

Peristaltic flow of viscous fluid in an asymmetric inclined channel with heat transfer and inclined magnetic field is examined. The convective boundary conditions have been handled. Complexity of emerging equations is simplified by utilizing long wavelength and low Reynolds number approximation. Variation of emerging parameters embedded in flow system are discussed. It is observed that an increase in Brikman number increases the temperature profile. Further, it is seen that temperature distribution is an increasing function of Biot number at lower wall.

Peristaltic Flow with Inclined Magnetic Field and Convective Boundary Conditions

Peristaltic flow of viscous fluid in an asymmetric inclined channel with heat transfer and inclined magnetic field is examined. The convective boundary conditions have been handled. Complexity of emerging equations is simplified by utilizing long wavelength and low Reynolds number approximation. Variation of emerging parameters embedded in flow system are discussed. It is observed that an increase in Brikman number increases the temperature profile. Further, it is seen that temperature distribution is an increasing function of Biot number at lower wall.

THE SLIP AND INDUCED MAGNETIC FIELD EFFECTS ON THE PERISTALTIC TRANSPORT WITH HEAT AND MASS TRANSFER

In this attempt, simultaneous effects of slip condition and an induced magnetic field on the peristaltic flow of viscous fluid in an asymmetric channel is investigated. The whole analysis have been carried out in the presence of heat and mass transfer characteristics. The resulting mathematical model is solved by exploiting the boundary conditions derived from physical point of view. The expressions of the desired flow quantities of interest are derived and discussed. A comparison with no-slip condition is shown.

Numerical Study on Peristaltic Flow of Viscous Fluid

The flow of viscous fluid in a channel with progressive waves of wall contraction is numerically studied as a two-dimensional model of peristaltic flow. In order to clarify the flow connected with peristaltic motion, the peristaltic flow of viscous fluid through a channel with progressive waves of wall contraction is investigated for the following various parameters: the Reynolds number, wave length, amplitude of contractive wave, and pressure gradient along the channel. As the results, the rate of fluid transport by the peristaltic motion is shown as a function of these parameters.