Peristaltic transport of γAl2O3/H2O and γAl2O3/C2H6O2 in an asymmetric channel

Abstract

In the present communication, we have model peristaltic transport of γAl2O3/H2O and γAl2O3/C2H6O2 in an asymmetric channel by using small Reynolds number (Re) and long wavelength (δ≪1) assumptions. Two dimensional equations of peristaltic nanofluid flow are modeled and then solved by using analytical regular perturbation technique. We have formulated the peristaltic motion equations of nanofluids by applied magnetic field effect on asymmetric channel and derive energy equation by using heat generation/absorption effect. By using numerical integration the solution of pressure behavior and solution of resulting governing equations are calculated by Mathematica software. By using Matlab software the graphical behavior of pressure rise, trapping phenomena, temperature profile and pressure gradient are illustrated. We found that the narrow region of channel requires large pressure gradient, also the pressure gradient decreases with increase of channel width d. The pressure gradient of nanofluids increases due to increase in nanoparticle volume fraction, amplitudes and Hartmann number. Moreover, in trap phenomena the bolus size decreases by increase of Hartmann number and bolus size increases by increase of volume flow rate.