Open Access
ARTICLE
NUMERICAL SOLUTIONS FOR A NANOFLUID PAST OVER A STRETCHING CIRCULAR CYLINDER WITH NON-UNIFORM HEAT SOURCE
A. Rasekha,*, D.D. Ganjib, S. Tavakolib
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.
Keywords
Cite This Article
Rasekh, A., Ganji, D., Tavakoli, S. (2012). NUMERICAL SOLUTIONS FOR A NANOFLUID PAST OVER A STRETCHING CIRCULAR CYLINDER WITH NON-UNIFORM HEAT SOURCE.
Frontiers in Heat and Mass Transfer, 3(4), 1–6.