Abbasi Fahad Munir, Hayat Tasawar, Ahmad Bashir, Chen Guo-Qian
Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan.
Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia.
PLoS One. 2014 Aug 29;9(8):e105440. doi: 10.1371/journal.pone.0105440. eCollection 2014.
Peristaltic transport of copper-water nanofluid in an inclined channel is reported in the presence of mixed convection. Both velocity and thermal slip conditions are considered. Mathematical modelling has been carried out using the long wavelength and low Reynolds number approximations. Resulting coupled system of equations is solved numerically. Quantities of interest are analyzed through graphs. Numerical values of heat transfer rate at the wall for different parameters are obtained and examined. Results showed that addition of copper nanoparticles reduces the pressure gradient, axial velocity at the center of channel, trapping and temperature. Velocity slip parameter has a decreasing effect on the velocity near the center of channel. Temperature of nanofluid increases with increase in the Grashoff number and channel inclination angle. It is further concluded that the heat transfer rate at the wall increases considerably in the presence of copper nanoparticles.
报道了在混合对流存在的情况下，倾斜通道中铜 - 水纳米流体的蠕动传输。同时考虑了速度滑移和热滑移条件。使用长波长和低雷诺数近似进行了数学建模。对得到的耦合方程组进行了数值求解。通过图表分析了感兴趣的量。获得并检验了不同参数下壁面传热速率的数值。结果表明，添加铜纳米颗粒会降低压力梯度、通道中心处的轴向速度、俘获量和温度。速度滑移参数对通道中心附近的速度有减小作用。纳米流体的温度随着格拉晓夫数和通道倾斜角度的增加而升高。进一步得出结论，在存在铜纳米颗粒的情况下，壁面传热速率显著增加。
