Rashidi Mohammad M, Kavyani Neda, Abelman Shirley, Uddin Mohammed J, Freidoonimehr Navid
Mechanical Engineering Department, Engineering Faculty of Bu-Ali Sina University, Hamedan, Iran; University of Michigan-Shanghai Jiao Tong University Joint Institute, Shanghai Jiao Tong University, Shanghai, People's Republic of China.
Sama Technical and Vocational Training College, Islamic Azad University, Malayer Branch, Malayer, Iran.
PLoS One. 2014 Oct 24;9(10):e109404. doi: 10.1371/journal.pone.0109404. eCollection 2014.
In this study combined heat and mass transfer by mixed convective flow along a moving vertical flat plate with hydrodynamic slip and thermal convective boundary condition is investigated. Using similarity variables, the governing nonlinear partial differential equations are converted into a system of coupled nonlinear ordinary differential equations. The transformed equations are then solved using a semi-numerical/analytical method called the differential transform method and results are compared with numerical results. Close agreement is found between the present method and the numerical method. Effects of the controlling parameters, including convective heat transfer, magnetic field, buoyancy ratio, hydrodynamic slip, mixed convective, Prandtl number and Schmidt number are investigated on the dimensionless velocity, temperature and concentration profiles. In addition effects of different parameters on the skin friction factor, [Formula: see text], local Nusselt number, [Formula: see text], and local Sherwood number [Formula: see text] are shown and explained through tables.
在本研究中,对沿移动垂直平板的混合对流流动中的热质耦合传递进行了研究,该流动具有流体动力滑移和热对流边界条件。利用相似变量,将 governing 非线性偏微分方程转化为耦合非线性常微分方程组。然后使用一种称为微分变换法的半数值/解析方法求解变换后的方程,并将结果与数值结果进行比较。发现本方法与数值方法之间具有密切一致性。研究了包括对流换热、磁场、浮力比、流体动力滑移、混合对流、普朗特数和施密特数在内的控制参数对无量纲速度、温度和浓度分布的影响。此外,通过表格展示并解释了不同参数对表面摩擦系数[公式:见正文]、局部努塞尔数[公式:见正文]和局部舍伍德数[公式:见正文]的影响。