The non-Newtonian fluids have become quite prevalent in industry and engineering for different applications. When these fluids flow over industrial equipment, a boundary layer phenomenon is developed due surface friction of equipment. In this work, a boundary layer phenomenon for two famous non-Newtonian fluids namely pseudoplastic and dilatant over moving belt is discussed. The physical problem is modeled through continuity, momentum and energy equations under boundary layer assumptions. In these equations, power law models for viscosity and thermal conductivity properties are used due to the non-linear nature of fluids. The governing equations are reduced to ordinary differential equations via similarity variables and get the analytical solution by using Mathematica package BVPh 2. The assessment of boundary layer against dimensionless velocity and temperature distribution are calculated and displaced by graphically when the belt is moving in the same and opposite direction to flow and displayed graphically. In addition, momentum and thermal boundary layers thicknesses, the thickness momentum distribution and moving fluid surface are calculated numerically to understand the boundary layer structure and the deflation in mass flow rate and in the momentum flux. A progress trend for thermal as well as momentum boundary layers has been noticed and found the maximum discrepancy in mass flow rate in case of dilatant fluid. The thickness of boundary layer region is thicker for dilatants material due to higher viscosity.

中文翻译：

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用幂律粘度和热导率模型评估移动带引起的非牛顿材料流动的边界层

非牛顿流体在不同应用的工业和工程中已经变得非常普遍。当这些流体流过工业设备时，由于设备的表面摩擦而产生边界层现象。在这项工作中，讨论了两种著名的非牛顿流体的边界层现象，即假塑性和胀流在运动带上。在边界层假设下，通过连续性、动量和能量方程对物理问题进行建模。在这些方程式中，由于流体的非线性特性，使用了粘度和热导率特性的幂律模型。通过相似变量将控制方程简化为常微分方程，并使用Mathematica包BVPh 2获得解析解。当传送带沿相同和相反方向移动以流动并以图形方式显示时，计算边界层对无量纲速度和温度分布的评估并以图形方式移动。此外，还对动量和热边界层厚度、厚度动量分布和移动流体表面进行了数值计算，以了解边界层结构以及质量流量和动量通量中的放气。已经注意到热边界层和动量边界层的进展趋势，并发现在膨胀流体的情况下质量流率的最大差异。由于膨胀材料的粘度较高，边界层区域的厚度较厚。