Stability Analysis of Mixed Convection Flow towards a Moving Thin Needle in Nanofluid

Siti Salleh,Fadzilah Ali,Norihan Arifin,Ioan Pop,Norfifah Bachok

doi:10.3390/app8060842

Abstract

The problem of steady laminar mixed convection flow and heat transfer past a moving vertical thin needle in nanofluid for both assisting and opposing cases is analyzed in this paper. Three types of nanoparticles including copper, titania and alumina are taken into consideration. The nonlinear ordinary differential equations for momentum and energy have been transformed by adopting the similarity transformation in linear form. The problem is solved numerically using an implemented package called bvp4c in MATLAB software. The numerical computations are carried out for various parameters of interest, which consists of the velocity ratio parameter, mixed convection parameter, nanoparticle volume fraction parameter and the needle size. A stability analysis of the solution is performed showing that the upper branch solution is stable, while the lower branch solution is unstable. Validation of the present work is done by comparing the current results with those available in the existing literature and found to be in excellent agreement.

Highlights

Along with the development of technology, most engineers have ventured to create a new system of application
Since numerous applications have been found in industries involving the moving surface, the purpose of this paper is to investigate the characteristics of the fluid flow and heat transfer analysis past a moving vertical thin needle in nanofluid under the influence of gravity forces using the Tiwari and Das model
We investigate the effect of the velocity ratio parameter, mixed convection parameter, nanoparticle volume fraction parameter and the needle size on the fluid flow and heat transfer analysis of the mixed convection boundary layer flow past a moving vertical thin needle in nanofluid

Summary

Introduction

Along with the development of technology, most engineers have ventured to create a new system of application. Most of the systems used in industries considered the conventional heat transfer fluid such as oil, water and ethylene glycol These types of heat transfer fluids did not show good performance in a cooling system. Nanofluid possesses some special behaviors, by which it is very stable and does not have any additional problems such as erosion, sedimentation, non-Newtonian behavior or additional pressure drop This happens due to the tiny size of the nano-elements and low volume fraction of nano-elements needed for the thermal conductivity improvement. In view of its applications, nanofluid has the potential of being a new generation of coolants in automotive applications It tends to cool down in the electronic application effectively by removing the high heat flux such as liquid cooling, air cooling and two-phase cooling. It is helpful in cancer imaging and drug delivery for cancer therapeutics in biomedical industries [2,3,4]

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