Influence of slip and convective boundary conditions on peristaltic transport of non-Newtonian nanofluids in an inclined asymmetric channel
Influence of slip and convective boundary conditions on peristaltic transport of non-Newtonian nanofluids in an inclined asymmetric channel
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DOI：
10.1016/j.aej.2016.04.041
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发表时间：
2016-09-01
影响因子：
6.8
通讯作者：
Vajravelu, K.
中科院分区：
文献类型：
--
作者：
Sayed, Hamed M.;Aly, Emad H.;Vajravelu, K.
在这项研究中，我们研究了纳米双曲正切流体在倾斜的非对称通道中的蠕动输运。两种类型的纳米粒子被认为是，即，铜和铝的氧化物。通过使用长波长和低雷诺数假设进行数学建模。问题的控制方程的解析求解的摄动技术与小Weissenberg数。通过图形分析了纳米颗粒的体积分数、滑移参数、毕奥数沿着以及其他相关参数对流函数、轴向速度、单位波长压力上升、温度和努塞尔数的影响。结果发现，铜和铝的氧化物纳米粒子的轴向速度场和传热系数几乎没有影响。然而，反向泵浦速率随着a、B和n的增加而减小，而对于蠕动和共泵浦的情况，这种行为是相反的。此外，在铜和铝氧化物纳米颗粒的存在下，每波长的压力上升没有显示出随着We的增加而显著变化。(C)2016年工程学院，亚历山大大学。制作和主办：Elsevier B.V.
In this study, we investigate a peristaltic transport of nano-hyperbolic tangent fluid in an inclined asymmetric channel with convective boundary conditions. Two types of nanoparticles are considered, namely, the copper and aluminum oxide. Mathematical modeling is carried out by using a long wavelength and low Reynolds number assumptions. The governing equations of the problem are solved analytically by a perturbation technique with small Weissenberg number. Through graphs, we analyze the effects of the nanoparticles volume fraction parameter, slip parameter, Biot number along with the other pertinent parameters on the stream function, axial velocity, pressure rise per wavelength, temperature and Nusselt numbers. It was found that the copper and aluminum oxide nanoparticles have almost insignificant effect on the axial velocity field and the heat transfer coefficients. However, the retrograde pumping rate decreases with increasing a; B and n while this behavior is reversed for the cases of peristaltic and copumping. Furthermore, the pressure rise per wavelength does not show a significant change with an increase in We in the presence of copper and aluminum oxide nanoparticles. (C) 2016 Faculty of Engineering, Alexandria University. Production and hosting by Elsevier B.V.