Peristaltic transport of Carreau-Yasuda fluid in a curved channel with slip effects.

The wide occurrence of peristaltic pumping should not be surprising at all since it results physiologically from neuro-muscular properties of any tubular smooth muscle. Of special concern here is to predict the rheological effects on the peristaltic motion in a curved channel. Attention is focused to develop and simulate a nonlinear mathematical model for Carreau-Yasuda fluid. The progressive wave front of peristaltic flow is taken sinusoidal (expansion/contraction type). The governing problem is challenge since it has nonlinear differential equation and nonlinear boundary conditions even in the long wavelength and low Reynolds number regime. Numerical solutions for various flow quantities of interest are presented. Comparison for different flow situations is also made. Results of physical quantities are interpreted with particular emphasis to rheological characteristics

Slip effects on mixed convective peristaltic transport of copper-water nanofluid in an inclined channel.

Peristaltic transport of copper-water nanofluid in an inclined channel is reported in the presence of mixed convection. Both velocity and thermal slip conditions are considered. Mathematical modelling has been carried out using the long wavelength and low Reynolds number approximations. Resulting coupled system of equations is solved numerically. Quantities of interest are analyzed through graphs. Numerical values of heat transfer rate at the wall for different parameters are obtained and examined. Results showed that addition of copper nanoparticles reduces the pressure gradient, axial velocity at the center of channel, trapping and temperature. Velocity slip parameter has a decreasing effect on the velocity near the center of channel. Temperature of nanofluid increases with increase in the Grashoff number and channel inclination angle. It is further concluded that the heat transfer rate at the wall increases considerably in the presence of copper nanoparticles

MHD mixed convective peristaltic motion of nanofluid with Joule heating and thermophoresis effects.

The primary objective of present investigation is to introduce the novel aspect of thermophoresis in the mixed convective peristaltic transport of viscous nanofluid. Viscous dissipation and Joule heating are also taken into account. Problem is modeled using the lubrication approach. Resulting system of equations is solved numerically. Effects of sundry parameters on the velocity, temperature, concentration of nanoparticles and heat and mass transfer rates at the wall are studied through graphs. It is noted that the concentration of nanoparticles near the boundaries is enhanced for larger thermophoresis parameter. However reverse situation is observed for an increase in the value of Brownian motion parameter. Further, the mass transfer rate at the wall significantly decreases when Brownian motion parameter is assigned higher values

a–b. Streamlines for variation in Weissenberg number () when , , , , .

<p>a–b. Streamlines for variation in Weissenberg number () when , , , , .</p

a–f. Effects of embedded parameters on pressure rise.

<p>(a) , , , , (b) , , , , (c) , , , , (d) , , , , (e) , , , , (f) , , , , .</p

a–d. Pressure gradient for variation in different parameters.

<p>(a) , , , (b) , , , (c) , , , (d) , , , .</p

a–b. Streamlines for variation in curvature parameter () when , , , , .

<p>a–b. Streamlines for variation in curvature parameter () when , , , , .</p

a–f. Variation of velocity profile for different embedded parameters.

<p>(a) , , , , , (b) , , , , , (c) , , , , , (d) , , , , , (e) , , , , , (f) , , , , , .</p

Concentration profile for variation in Brownian motion parameter when , and

<p>Concentration profile for variation in Brownian motion parameter when , and </p

Numerical values of the thermophysical properties.

<p>Numerical values of the thermophysical properties.</p