Mabood Fazle, Khan Waqar A, Ismail Ahmad Izani Md
School of Mathematical Sciences, Universiti Sains Malaysia, Penang, Malaysia.
Department of Engineering Sciences, National University of Sciences and Technology, PN Engineering College, Karachi, Pakistan.
PLoS One. 2013 Dec 23;8(12):e83581. doi: 10.1371/journal.pone.0083581. eCollection 2013.
In this article, an approximate analytical solution of flow and heat transfer for a viscoelastic fluid in an axisymmetric channel with porous wall is presented. The solution is obtained through the use of a powerful method known as Optimal Homotopy Asymptotic Method (OHAM). We obtained the approximate analytical solution for dimensionless velocity and temperature for various parameters. The influence and effect of different parameters on dimensionless velocity, temperature, friction factor, and rate of heat transfer are presented graphically. We also compared our solution with those obtained by other methods and it is found that OHAM solution is better than the other methods considered. This shows that OHAM is reliable for use to solve strongly nonlinear problems in heat transfer phenomena.
本文给出了具有多孔壁的轴对称通道中粘弹性流体流动与传热的近似解析解。该解通过使用一种称为最优同伦渐近法（OHAM）的强大方法获得。我们得到了不同参数下无量纲速度和温度的近似解析解。以图形方式展示了不同参数对无量纲速度、温度、摩擦系数和传热速率的影响。我们还将我们的解与其他方法得到的解进行了比较，发现OHAM解优于所考虑的其他方法。这表明OHAM用于解决传热现象中的强非线性问题是可靠的。
