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Optimal and Numerical Solutions for an MHD Micropolar Nanofluid between Rotating Horizontal Parallel Plates

机译:旋转水平平行板之间MHD微极性纳米流体的最优和数值解

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摘要

The present analysis deals with flow and heat transfer aspects of a micropolar nanofluid between two horizontal parallel plates in a rotating system. The governing partial differential equations for momentum, energy, micro rotation and nano-particles concentration are presented. Similarity transformations are utilized to convert the system of partial differential equations into system of ordinary differential equations. The reduced equations are solved analytically with the help of optimal homotopy analysis method (OHAM). Analytical solutions for velocity, temperature, micro-rotation and concentration profiles are expressed graphically against various emerging physical parameters. Physical quantities of interest such as skin friction co-efficient, local heat and local mass fluxes are also computed both analytically and numerically through mid-point integration scheme. It is found that both the solutions are in excellent agreement. Local skin friction coefficient is found to be higher for the case of strong concentration i.e. n=0, as compared to the case of weak concentration n=0.50. Influence of strong and weak concentration on Nusselt and Sherwood number appear to be similar in a quantitative sense.
机译:本分析研究了旋转系统中两个水平平行板之间微极性纳米流体的流动和传热问题。提出了控制动量,能量,微旋转和纳米粒子浓度的偏微分方程。利用相似变换将偏微分方程组转换为常微分方程组。简化的方程式借助最佳同伦分析方法(OHAM)进行解析求解。速度,温度,微旋转和浓度分布图的分析解决方案以图形表示,针对各种新兴的物理参数。感兴趣的物理量(如皮肤摩擦系数,局部热量和局部质量通量)也通过中点积分方案进行了分析和数值计算。发现这两种解决方案都非常吻合。发现与浓度n = 0.50较弱的情况相比,浓度较高即n = 0时的局部皮肤摩擦系数较高。在定量意义上,强和弱浓度对Nusselt和Sherwood数的影响似乎相似。

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