Magnetohydrodynamic mixed convective peristaltic slip transport of carbon nanotubes dispersed in water through an inclined channel with Joule heating

Abstract

AbstractCarbon nanotubes are considered to be the latest nanotechnology innovation because of their remarkable physical and mechanical properties. Recently, researchers have shown great interest in the peristaltic transport of nanotube‐based nanofluid as this process involves a wide range of uses in the bioengineering, biomechanics, and medical fields. In this investigation, influence of single‐walled carbon nanotubes (SWCNTs) on magnetohydrodynamic mixed convective peristalsis through an inclined and asymmetric channel is analyzed. The additional physical mechanisms such as velocity slip, viscous dissipation, thermal slip, Joule heating, and heat consumption/injection are also encountered. The principal equations are formulated under the estimation of long wavelength and low Reynolds number. Perturbation method is operated to evaluate the solutions of subsequent nonlinear system of equations for small Brinkman number. To deeply analyze the characteristics of embedded parameters, graphs are presented and comprehensive interpretation is provided. Rate of heat transfer is augmented for higher proportion of SWCNTs in base fluid water. At the center of channel, increasing volume fraction of SWCNTs and strong Lorentz force retard the motion of fluid while flow is accelerated in more inclined channel. Volume fraction of SWCNTs, Grashof number, and inclination parameter encourage the pressure gradient at wider part of the channel. The size of bolus is contracted by strong Lorentz force and large volume fraction of SWCNTs. Three basic models named as Maxwell's, Hamilton‐Crosser's, and Xue's model are utilized to forecast the thermal conductivity of nanofluid and succeeding numerical computations for heat transfer rate are presented through table. It is found that the Xue's model is most effective to anticipate the thermal conductivity of nanofluids. Moreover, the addition of a heat sink in the system significantly influences the heat transfer process and plays a supportive role to rapidly cool down the channel.