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

Fahad Munir Abbasi,Guo-Qian Chen,Tasawar Hayat,Bashir Ahmad,Victor M Ugaz

doi:10.1371/journal.pone.0105440

Fahad Munir Abbasi, Guo-Qian Chen + Show 3 more

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https://doi.org/10.1371/journal.pone.0105440

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Abstract

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.

Highlights

Mixed convective flows have received numerous attention from the researchers the world over due to their wide industrial and engineering applications
Enhanced heat transfer in nanofluids has enabled there use in several electrical and engineering applications. This gives rise to a new branch of mechanics named nanofluid mechanics
The wide utility of nanofluids is the reason for growing interest in nanofluid mechanics by the researchers of modern era

Summary

Introduction

Mixed convective flows have received numerous attention from the researchers the world over due to their wide industrial and engineering applications. We consider here the copper-water nanofluid to discuss the peristaltic flow in a symmetric channel with slip conditions. Half channel width Wavelength of peristaltic wave Y -component of velocity Density of nanofluid Acceleration due to gravity Channel inclination angle Temperature of the walls Effective thermal conductivity Viscosity of base fluid Density of nanoparticles Specific heat of nanoparticles Nanoparticles volume fraction Thermal conductivity of base fluid Eckert number Prandtl number Brinkman number Dimensionless velocity slip parameter Dimensionless thermal slip parameter Pressure rise per wavelength

Results

Conclusion