Numerical Analysis of Heat and Mass Transfer Flow of Nanofluid over a Moving Wedge Using Spectral Quasilinearization Method

Ayele Tulu,Wubshet Ibrahim

doi:10.11648/j.ijamtp.20190504.13

Abstract

In this paper the problem of unsteady two-dimensional heat and mass transfer flow of nanofluid past a moving wedge is considered. The effects of nanoparticle volume fraction, viscous dissipation, chemical reaction, and convective boundary conditions are studied. The physical problem is modeled using partial differential equations. Using suitable similarity variables, the governing equations and their related boundary conditions are transformed into dimensionless forms of a system of coupled nonlinear ordinary differential equations. The resulting systems of equations are then solved numerically using spectral quasilinearization method (SQLM). The results reveal that the skin friction coefficient increases with increasing the values of nanoparticle volume fraction, unsteadiness and permeability parameters. The local Nusselt number reduces with increasing the value of nanoparticle volume fraction, Prandtl number and Eckert number. The local Sherwood number enhances with greater the value of nanoparticle volume fraction, unsteadiness, pressure gradient and chemical reaction parameters. Moreover, the method is checked against the previously published results and a very good agreement have been obtained.

Highlights

In the past few years, researchers have continuously worked on developing innovative heat transfer fluids that have significantly higher thermal conductivities than usually used fluids
The effective thermal conductivity 5&' of nanofluids when the added particles are of spherical shape, low volume percent, and the suspension is at ambient conditions is defined using the thermal conductivities of both nanoparticles 5; and basefluid 5' [15]
Sherwood number is increased by increasing the value of nanoparticle volume fraction, unsteadiness, pressure gradient, chemical reaction parameters, and Schmidt number

Summary

Introduction

In the past few years, researchers have continuously worked on developing innovative heat transfer fluids that have significantly higher thermal conductivities than usually used fluids. In 1995, Choi was the first scholar who developed a newly pioneering type of heat transfer fluids, and he gave the term “nanofluids” for such type of fluids. He prepared these fluids on sagging nanoscale particles of metallic basis with particle size less than 100 nm into conventional heat transfer fluids. Nanofluids have been receiving great attention in recent years due to their greater in thermal conductivity and potentially useful in many modern-day applications. Some of these include microelectronics, fuel cells, food processing, biomedicine, power generation, ventilation, engine vehicle management, domestic refrigerator, and heat exchanger [2]. Some recent studies on boundary layer flow of nanofluid include the work of these scholars [3,4,5]

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