Tanveer Anum, Hayat T, Alsaedi A, Ahmad B
Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan.
Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
PLoS One. 2017 Feb 2;12(2):e0170029. doi: 10.1371/journal.pone.0170029. eCollection 2017.
Main theme of present investigation is to model and analyze the peristaltic activity of Carraeu-Yasuda nanofluid saturating porous space in a curved channel. Unlike the traditional approach, the porous medium effects are characterized by employing modified Darcy's law for Carreau-Yasuda fluid. To our knowledge this is first attempt in this direction for Carreau-Yasuda fluid. Heat and mass transfer are further considered. Simultaneous effects of heat and mass transfer are examined in presence of mixed convection, viscous dissipation and thermal radiation. The compliant characteristics for channel walls are taken into account. The resulting complex mathematical system has been discussed for small Reynolds number and large wavelength concepts. Numerical approximation to solutions are thus plotted in graphs and the physical description is presented. It is concluded that larger porosity in a medium cause an enhancement in fluid velocity and reduction in concentration.
本研究的主要主题是对弯曲通道中充满Carraeu-Yasuda纳米流体的多孔空间的蠕动活动进行建模和分析。与传统方法不同，多孔介质效应通过采用针对Carreau-Yasuda流体的修正达西定律来表征。据我们所知，这是针对Carreau-Yasuda流体在这个方向上的首次尝试。进一步考虑了传热和传质。在混合对流、粘性耗散和热辐射存在的情况下，研究了传热和传质的同时效应。考虑了通道壁的柔顺特性。针对小雷诺数和大波长概念，讨论了由此产生的复杂数学系统。因此，将解的数值近似绘制在图表中并给出了物理描述。得出的结论是，介质中较大的孔隙率会导致流体速度增加和浓度降低。
