Analytical investigation on heat transfer performance of H2O filled with SiO2 and TiO2 in a sinusoidal wavy channel

Abstract

The peristaltic transport of hybrid nanofluid (SiO2–TiO2/H2O) flow in a sinusoidal wavy channel under the heat generation effect is reported in present analysis. We have simplified two dimensional equations of hybrid nanofluid for peristaltic transport by using long wavelength (δ≪1) and small Reynolds (Re) number assumptions. We also modeled temperature equation for hybrid nanofluid flow with the effect of heat generation. The two dimensional peristaltic flow equations of (SiO2–TiO2/H2O) are analytically solved by using perturbation method. The numerical integration and solutions of governing two dimensional equations are obtained in Mathematica software. The graphically behavior of solutions for temperature, pressure rise, streamlines and pressure gradient are elucidated with Matlab software. It is noticed that the pressure rise for hybrid nanofluid (SiO2–TiO2/H2O) increases for both amplitudes (a and b), solid fractional volume (ξ1) and heat generation (β). We observe that higher pressure gradient requires to retain same flux in narrow part of sinusoidal channel, also due to increase of amplitudes (a and b) pressure gradient increases. Moreover size of trapping bolus decreases by increase of channel width d and increases due to increase of heat generation parameter β.