Peristaltic Transport of a Nanofluid in an Inclined Tube

摘要

Peristaltic transport of a nanofluid in an inclined tube under the assumption of long wave length and low Reynolds number has been investigated. The coupled equations in temperature profile and nanoparticle phenomena are solved by using Homotopy Perturbation Method. Byusing this method the closed form solutions of pressure drop, time averaged flux and frictional force have been calculated. It is found that the pressure drop increases with the Brownian motion parameter but decreases with the thermophoresis number and inclination . It is also found that the pressure drop decreases with wave amplitude and increases with wave length. The frictional force increases with Brownian motion parameter , wavelengthand decreases with the thermophoresis number , inclination and wave amplitude. It can be seen that, thattemperature profile decreases with the Brownian motion parameter and increases with the thermophoresis number . Thenanoparticle phenomena increases with the Brownian motion parameter and decreases with the thermophoresis number . It is observed that, the maximum pressure gradient occurs for different values of wave amplitude for sinusoidal, multi sinusoidal, triangular, trapezoidal and square waves. The size of the trapped bolus in multi sinusoidal wave is small as compared to the sinusoidal wave.