Ramzan Muhammad, Bilal Muhammad, Chung Jae Dong
Department of Computer Science, Bahria University, Islamabad Campus, Islamabad, 44000, Pakistan.
Department of Mathematics, Faculty of Computing, Capital University of Science and Technology, Islamabad, Pakistan.
PLoS One. 2017 Jan 27;12(1):e0170790. doi: 10.1371/journal.pone.0170790. eCollection 2017.
This exploration addresses MHD stagnation point Powell Eyring nanofluid flow with double stratification. The effects of thermal radiation and chemical reaction are added in temperature and nanoparticle concentration fields respectively. Furthermore, appropriate transformations are betrothed to obtain nonlinear differential equations from the system of partial differential equations and an analytical solution of system of coupled differential equations is obtained by means of the renowned Homotopy Analysis method. Through graphical illustrations, momentum, energy and concentration distributions are conversed for different prominent parameters. Comparison in limiting case is also part of present study to validate the obtained results. It is witnessed that nanoparticle concentration is diminishing function of chemical reaction parameter. Moreover, mounting values of thermal and solutal stratification lowers the temperature and concentration fields respectively.
本研究探讨了具有双重分层的磁流体动力学(MHD)驻点鲍威尔-艾林纳米流体流动。分别在温度场和纳米颗粒浓度场中加入了热辐射和化学反应的影响。此外,通过适当的变换从偏微分方程组得到非线性微分方程,并借助著名的同伦分析法获得了耦合微分方程组的解析解。通过图形展示,讨论了不同显著参数下的动量、能量和浓度分布。极限情况下的比较也是本研究的一部分,以验证所得结果。可以看出,纳米颗粒浓度是化学反应参数的递减函数。此外,热分层和溶质分层值的增加分别降低了温度场和浓度场。