Eigenfunction expansion method for peristaltic flow of hybrid nanofluid flow having single-walled carbon nanotube and multi-walled carbon nanotube in a wavy rectangular duct

Abstract

In this study, “peristaltic transport of hybrid nanofluid” inside a rectangular duct is examined. Water (base fluid) is used with two types of nanoparticles, namely, single-walled carbon nanotube (SWCNT) and multi-walled carbon nanotube (MWCNT). The viscous dissipation effect comes out as the prime heat generation source as compared to the conduction of molecules. After using some suitable dimensionless quantities, we obtained the nonlinear partial differential equations in a coupled form which are then solved exactly by the Eigenfunction expansion method. Velocity distribution, pressure gradient, and pressure rise phenomena are also discussed graphically through effective physical parameters. The heat transfer rate is high for the phase flow (single-walled carbon nanotube/water) model as compared to the hybrid (single-walled carbon nanotube + multi-walled carbon nanotube/water) model due to the enhanced thermal conductivity of the hybrid model.

Mathematical model of convective heat transfer for peristaltic flow of Rabinowitsch fluid in a wavy rectangular duct with entropy generation

“…Moreover, the fluid flow is time-dependent in immovable frame but it'll become steady in moving frame, which travels with the speed same as that of wave travelling along X-direction. The two frames (moving and fixed) are related through the following transformations [39,40]:…”

“…Sadaf et al [38] contemplated the impacts of amalgamated convective boundary conditions and viscous dissipation on 'peristaltic flow of Rabinowitsch fluid', within non-uniform tube. The hybrid nanofluid flow with convection inside a rectangular duct having sinusoidal wavy boundaries was mathematically modeled by Nadeem et al [39]. Zeeshan et al [40] had provided the exact solutions for a micro-fluidic rectangular peristaltic pump.…”

Impact of induced magnetic field on Darcy–Forchheimer nanofluid flows comprising carbon nanotubes with homogeneous-heterogeneous reactions

“…They found that the nanofluid comprising CNTs exhibits stronger thermal conductance as compared to customary fluids. Nadeem et al [ 2 ] emphasized the significance of MWCNTs for hybrid nanofluid flow in a wavy rectangular duct using the eigenvalue expansion method for improved thermal conductivity. In comparison to the liquid flow (SWCNT/water) model, it is discovered that the pressure gradient accumulates promptly for the hybrid (SWCNT + MWCNT/water) nanofluid model.…”

Thermal transport of biological base fluid with copper and iron oxide nanoparticles in wavy channel

“…Khan et al 17 predicted the nanomaterials thermal capacitance referred to the disk flow where contribution of slip phenomenon was effective. A theoretical study is carried out by Nadeem et al 18 to analyze the peristaltic flow of hybrid nanofluid with SWCNTs and MWCNTs in a rectangular wavy duct. A numerical simulation is performed by Abbasi and Farooq 19 to investigate the flow of water based hybrid nanofluid in a non-uniform channel.…”