S. Hina

On peristaltic motion of pseudoplastic fluid in a curved channel with heat/mass transfer and wall properties

Peristaltic motion of shear-thinning and shear-thickening fluids through a curved channel.Elastic properties of the channel walls are considered.A regular perturbation method is used for the analytical analysis.Symmetry of the profiles in the upper and lower halves of the channel is destroyed in curved channel.Present model has importance in the blood flow through micro-circulatory system. This work addresses the combined effect of wall properties and heat/mass transfer on the peristaltic motion of pseudoplastic (shear-thinning/shear-thickening) fluid in a curved channel. The mathematical model is simplified through the assumption of long wavelength of the peristaltic wave compared to the mean half-width of the channel. Series solutions for stream function, temperature and concentration of species are derived. In contrast to the case of planar channel, the profiles are not symmetric about the central line of the curved channel. The size of the trapped bolus is different in the upper and lower halves of the curved channel. Moreover the number of circulations increase/decrease in the upper/lower half of the channel when the case of planar channel is approached.

Slip Effects on the Peristaltic Motion of Nanofluid in a Channel With Wall Properties

This article looks at the peristaltic flow of nanofluid in a channel with compliant walls. Brownian motion and thermophoresis effects are taken into consideration. Mathematical model is formulated by using long wavelength and low Reynolds number assumptions. The analytic expressions of temperature and nanoparticles concentration are developed by homotopy analysis method (HAM). The solutions are validated through the numerical solutions obtained by employing the built in routine for solving nonlinear boundary value problem via shooting method through software mathematica. Special emphasis is given to the role of key parameters including the Brownian motion parameter (Nb), thermophoresis parameter (Nt), Prandtl number (Pr), Eckert number (Ec) on temperature, and nanoparticles concentration. It is observed that both temperature and nanoparticles volume fraction increase when the Brownian motion and thermophoresis effects intensify. Moreover, the heat transfer coefficient is increasing function of Nb and Nt.

EFFECT OF WALL PROPERTIES ON THE PERISTALTIC FLOW OF A THIRD GRADE FLUID IN A CURVED CHANNEL

This paper discusses the effects of wall properties on the peristaltic flow of an incompressible third grade fluid in a curved channel. Series solution is obtained under the approximation of long wavelength and low Reynolds number. Relation of stream function is derived. The variations of the interesting parameters entering into the problem are carefully analyzed. It is observed that the velocity profiles are not symmetric about the central line of the curved channel. Moreover, the bolus size increases with an increase in the curvature parameter in the upper half of the channel. Whereas it is found to decrease upon increasing the curvature parameter in the lower half of the channel.

Peristaltic flow of Powell-Eyring fluid in curved channel with heat transfer

BACKGROUND AND OBJECTIVE In this work, we explore the heat transfer characteristics in the peristaltic transport of Powell-Eyring fluid inside a curved channel with complaint walls. The study has motivation toward the understanding of blood flow in microcirculatory system. METHOD Formulation is developed in the existence of velocity slip and temperature jump conditions. Perturbation approach has been utilized to present series expressions of axial velocity and temperature distributions. Streamlines are prepared to analyze the interesting phenomenon of trapping. Moreover, the plots of heat transfer coefficient for a broad range of embedded parameters are presented and discussed. RESULTS The results indicate that slip effects substantially influence the velocity and temperature distributions. Axial flow accelerates when slip parameter is incremented. Temperature rises and wall heat flux grows when viscous dissipation effect is strengthened. In contrast to the planar channels, here velocity and temperature functions do not exhibit symmetry with respect to the central line. In addition, bolus size and its shape are different in upper and lower portions of the channel. CONCLUSIONS Heat transfer coefficient enlarges when the curvature effects are reduced. The behaviors of wall tension and wall mass parameters on the profiles are qualitatively similar.

Peristaltic motion of Johnson-Segalman fluid in a curved channel with slip conditions.

Slip effects on the peristaltic transport of Johnson-Segalman fluid through a curved channel have been addressed. The influence of wall properties is also analyzed. Long wavelength and low Reynolds number assumptions have been utilized in the mathematical formulation of the problem. The equations so formed have been solved numerically by shooting method through computational software Mathematica 8. In addition the analytic solution for small Weissenberg number (elastic parameter) is computed through a regular perturbation method. An excellent agreement is noticed between the two solutions. The results indicate an increase in the magnitude of velocity with an intensification in the slip effect. Moreover the size and circulation of the trapped boluses increase with an increase in the slip parameter. Unlike the planar channel, the profiles of axial velocity are not symmetric about the central line of the channel.

Peristaltic transport of pseudoplastic fluid in a curved channel with wall properties and slip conditions

Effects of wall properties and slip condition on the peristaltic flow of an incompressible pseudoplastic fluid in a curved channel are studied. Series solution of the governing problem is obtained after applying long wavelength and low Reynolds number approximations. The results are validated with the numerical solutions through the built-in routine for solving nonlinear boundary value problems via software Mathematica. The variations of different parameters on axial velocity are carefully analyzed. Behaviors of embedding parameters on the dimensionless stream function are also discussed. It is noted that the axial velocity and size of trapped bolus increases with an increase in slip parameter. It is also observed that the profiles of axial velocity are not symmetric about the central line of the curved channel which is different from the case of planar channel.

SLIP EFFECTS ON PERISTALTIC TRANSPORT OF A MAXWELL FLUID WITH HEAT AND MASS TRANSFER

Analysis has been carried out to examine the heat and mass transfer effects on the magnetohydrodynamics (MHD) peristaltic flow in a channel with compliant walls. An incompressible Maxwell fluid occupies the porous space. Modified Darcys law and slip conditions are used in the problem formulation. Solutions for small wave number are derived. The effects of emerging parameters in the obtained solutions are displayed and discussed.

Peristaltic Motion of Power-Law Fluid with Heat and Mass Transfer

The effects of wall properties and heat and mass transfer on the peristalsis in a power-law fluid are investigated. The solutions for the stream function, temperature, concentration and heat transfer coefficient are obtained. The axial velocity, temperature and mass concentration are studied for different emerging parameters.

Effects of the Cattaneo–Christov heat flux model on peristalsis

ABSTRACT This paper addresses the influence of newly-developed Cattaneo–Christov heat flux model on peristalsis. Analysis has been carried out in a two-dimensional planner channel with wall properties and the Soret effect. An incompressible viscous fluid fills the space inside the channel. The relevant mathematical modeling is developed and a perturbation technique is employed to obtain a series form of solutions about small wave numbers. Expressions of velocity, temperature, concentration and heat transfer are treated graphically, corresponding to elasticity parameters, relaxation time and Prandtl numbers specifically. The graphical results are found distinctive that offers challenging role for further research on the topic. Further, the results of Fourier’s law can be verified when the relaxation time of the Cattaneo–Christov heat flux model is considered absent or concepts of large wavelength and small Reynolds numbers are applied.

PERISTALTIC FLOW OF COUPLE-STRESS FLUID WITH HEAT AND MASS TRANSFER: AN APPLICATION IN BIOMEDICINE

Analysis is performed for the simultaneous effects of heat and mass transfer on the peristaltic transport of an electrically conducting couple-stress fluid in a compliant walls channel. The study may be useful in understanding the physiological flow of blood through micro-circulatory system in the presence of particle-size effect. Long wavelength and low Reynolds number aspects are taken into consideration. Exact solutions for stream function, temperature and concentration are derived. Impact of pertinent parameters like the couple-stress fluid parameter (γ), Hartman number (M), amplitude ratio (ϵ), elastic parameters (E1, E2, E3, E4, E5), Brinkman number (Br) and Schmidt number (Sc). It is observed that velocity and temperature distributions are greater for couple stress fluid when compared with the Newtonian fluid.