High-Accuracy Multiscale Simulation of Three-Dimensional Squeezing Carbon Nanotube-Based Flow inside a Rotating Stretching Channel

S Hadi Seyedi,Behzad Nemati Saray,Ali Ramazani

doi:10.1155/2019/9890626

Abstract

Enhancing the heat transfer rate using nanofluids is of great interest to engineers and scientists. This research aims to study the heat and mass transfer analysis of three-dimensional squeezing carbon nanotube- (CNT-) based nanofluid flow inside a rotating stretching channel. The upper wall of the channel is assumed to have a reciprocating movement, and the lower wall is assumed to be stationary and permeable. Also, radiative effects are taken into account using the Taylor series approximation. The momentum and energy equations are transformed into a coupled system of nonlinear ordinary differential equations utilizing similarity solutions. A new multiscale and accurate method was developed to solve the achieved nonlinear systems of equations. Water is chosen as the base fluid; single-wall carbon nanotubes (SWCNTs) and multiwall carbon nanotubes (MWCNTs) are added to it, and then two types of nanofluids were created. The effect of different variables such as the concentration of nanotubes, nanotube’s type, suction parameter, rotation parameter, squeezing number, Eckert number, and radiation parameter on the velocity and temperature profiles is investigated. Our results reveal that the temperature profile is an increasing function of the squeezing number, suction, rotation, and radiation parameters when the upper wall moves towards the lower one.

Highlights

Fluid squeezing is a process in which two boundaries approach each other and pressurize the trapped flow between them. is process has numerous applications in science and industry such as hydraulic systems, manufacturing of fibers and papers, lubrication of bearings, cooling systems, and biomedical engineering [1]
We analyzed the heat transfer enhancement between two vertical flat plates by a high precision multiscale approach based on the Galerkin method [17,18,19]
Dib et al [20] investigated the squeezing nanofluid flow by the Adomian decomposition method (ADM). ey found out that the type of nanofluid plays an important role in heat transfer enhancement

Summary

Introduction

Fluid squeezing is a process in which two boundaries approach each other and pressurize the trapped flow between them. is process has numerous applications in science and industry such as hydraulic systems, manufacturing of fibers and papers, lubrication of bearings, cooling systems, and biomedical engineering [1]. We analyzed the heat transfer enhancement between two vertical flat plates (stationary and moving) by a high precision multiscale approach based on the Galerkin method [17,18,19]. Gupta and Saha Ray [21] developed a numerical method based on Chebyshev wavelet expansion and concluded that the Nusselt number has a direct relationship with the concentration of the Mathematical Problems in Engineering nanoparticles when the fluid is squeezing. E study of squeezing nanofluid flow in a rotating channel and a lower stretching porous wall was done in [24, 25] for different nanoparticles in water. E aspiration of the current analysis is to study the threedimensional squeezing nanofluid flow (CNTs in water) in a rotating channel with a lower permeable stretching wall by considering radiation heat transfer effect in different scales. To fill out the gap in the literature, we used a novel, precise, and multiscale method for the numerical simulation of the mentioned problem

Problem Description

Alpert’s Multiwavelets

Results and Discussion