Open Access

ARTICLE

NUMERICAL SOLUTIONS FOR A NANOFLUID PAST OVER A STRETCHING CIRCULAR CYLINDER WITH NON-UNIFORM HEAT SOURCE

A. Rasekh^a,*, D.D. Ganji^b, S. Tavakoli^b

a Department of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran
b Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran

* Corresponding Author: Email: .

Frontiers in Heat and Mass Transfer 2012, 3(4), 1-6. https://doi.org/10.5098/hmt.v3.4.3003

Abstract

The present paper deals with the analysis of boundary layer flow and heat transfer of a nanofluid over a stretching circular cylinder in the presence of non-uniform heat source/sink. The governing system of partial differential equations is converted to ordinary differential equations by using similarity transformations, which are then solved numerically using the Runge–Kutta–Fehlberg method with shooting technique. The solutions for the temperature and nanoparticle concentration distributions depend on six parameters, Prandtl number Pr, Lewis number Le, the Brownian motion parameter Nb, the thermophoresis parameter Nt, and non-uniform heat generation/absorption parameters A*, B*. Numerical results are presented both in tabular and graphical forms for 0.7 ≤ Pr ≤10, 1 ≤ Le ≤ 30, 0.1 ≤ Nb ≤ 0.5, and 0.1 ≤ Nt ≤ 0.5 illustrating the effects of these parameters on thermal and concentration boundary layers. The results reveal that increasing the value of non-uniform heat generation/absorption parameter leads to deterioration in heat transfer rates at the stretching cylinder wall. However, it is found that increasing the value of non-uniform heat generation/absorption parameters results in enhancement the reduced Sherwood number. Moreover, for fixed Pr and Le, the reduced Nusselt number decreases but the reduced Sherwood number increases as the Brownian motion and thermophoresis effects become stronger.

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