Self-Similar Solution of Three-Dimensional Stagnation-Point Flow of (Al2O3-Water) NanoFluid on a Stationary Flat Plate

Articles in Press

Document Type : Research Article

Authors

1 School of Engineering, University of Tasmania, Australia

2 Department of Chemical Engineering, Shahrood Branch, Islamic Azad UniversityShahrood3619943189, I. R. IRAN.

3 Shahrood Branch, Islamic Azad University

4 Shahrood branch, Islamic Azad University, Shahrood, Iran

5 Department of Mechanical Engineering, Technical and Vocational University (TVU), Mashhad, Iran.

Abstract

This paper investigates the general form of a problem of stagnation-point flow of a viscous, nanofluid which impinges along z-direction on a stationary flat plate. In this study, a three-dimensional flow is produced by an external flow including nanoparticles which impinge on the plate, along z-direction, with strain rate a. The density and viscosity of the nanofluid are affected by the nanoparticles. Appropriate formulas are employed to calculate the density and viscosity of the nanofluid. Suitable similarity transformations are introduced for reduction of the steady, three-dimensional, Navier-Stokes equations to couple non-linear ordinary differential equations. These governing equations are numerically solved using thefourth order Runge-Kutta method along with a shooting technique for a wide range of characterizing parameters. The obtained results illustrate that ifthe value of particle fraction increases, the value of the velocity components and pressure gradients decreases in the vicinity of the plate. It was also shown that as the flow patterns are moving from a two-dimensional case to an axisymmetric case, the velocity components as well as dimensionless pressure gradients increase in the vicinity of the plate.The problem is particularly important inthe cooling process of electronic devices and turbine blades and high-pressure washers.

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Iranian Journal of Chemistry and Chemical Engineering

Articles in Press, Accepted Manuscript
Available Online from 05 September 2023

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