Squeezing Flow Analysis of Nanofluid Under the Effects of Magnetic Field and Slip Boundary Conditions Using Chebychev Spectral Collocation Method

Gbeminiyi M Sobamowo

doi:10.11648/j.fm.20170306.11

Abstract

In this work, analysis of two-dimensional squeezing flow of a nanofluid under the influences of a uniform transverse magnetic field and slip boundary conditions is carried out using Chebychev spectral collocation method. The analytical solutions are used to investigate the effects of fluid properties, magnetic field and slip parameters on the squeezing flow. It is revealed from the results that the velocity of the fluid increases with increase in the magnetic parameter under the influence of slip condition while an opposite trend is recorded during no-slip condition. Also, the velocity of the fluid increases as the slip parameter increases but it decreases with increase in the magnetic field parameter and Reynold number under the no-slip condition. The results of the Chebychev spectral collocation method are in excellent agreement with the results of the convectional numerical method using Runge-Kutta coupled with shooting method. The findings in this work can be used to further study the squeezing ﬂow in applications such as power transmission, polymer processing and hydraulic lifts.

Highlights

In recent times, the research interests of squeezing flow of fluid between two parallel plates have increased tremendously
The research interests of squeezing flow of fluid between two parallel plates have increased tremendously. This is because of the various industrial and biological applications of squeezing flow such as in moving pistons, chocolate fillers, hydraulic lifts, electric motors, flow inside syringes and nasogastric tubes, compression, injection modeling, power transmission squeezed film and polymers show the important of the area
The above procedures show the analysis of a steady twodimensional axisymmetric flow of a nanofluid fluid under the influence of a uniform transverse magnetic field with slip boundary condition

Summary

Introduction

The research interests of squeezing flow of fluid between two parallel plates have increased tremendously. This is because of the various industrial and biological applications of squeezing flow such as in moving pistons, chocolate fillers, hydraulic lifts, electric motors, flow inside syringes and nasogastric tubes, compression, injection modeling, power transmission squeezed film and polymers show the important of the area. Effects of magnetic field, flow characteristics and fluid properties on the squeezing flow have been widely studied under no slip conditions [27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42]. The slip condition is of great importance especially when fluids with elastic character are under consideration

Methods

Results

Conclusion