Thermal analysis of peristaltic flow of nanosized particles within a curved channel with second-order partial slip and porous medium

Abstract

In a thermo-dynamical system, maximum transfer of energy takes the center of attention. Industrial advancement in recent years augmented the need for efficient heat transfer and cooling process both at the microscale and at the larger scale. The porous medium provides an advantage on fins or inserts due to its greater surface area in contact and hence enhances heat transfer rates. Nanofluids use nanosized particles with very high thermal conductivity uniformly distributed in base fluids which increases the conductivity of the base fluid ridiculously. Both the Porous matrix and nanofluid play a vital role in enhancing the heat transfer rate. In this paper, the transport of nanosized particles within a non-Darcy porous curved channel is assumed. The flow is induced by a peristaltic wave. Higher-order slip effects are also encountered. The flow problem is modeled using the so-called Buongiorno’s formulation. It is assumed that the wave on the wall has a long wavelength as compare to its amplitude; also, creeping flow assumption is added leading to small values of Reynolds’ number. The equations are solved analytically, and the exact solutions are achieved. Graphical and tabular outputs are displayed alongside detailed discussion.