Rizwan Muhammad, Hassan Mohsan, Asjad Muhammad Imran, Tag-ElDin ElSayed M
Department of Mathematics, COMSATS University Islamabad, Lahore 54000, Pakistan.
Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan.
Micromachines (Basel). 2022 Nov 26;13(12):2080. doi: 10.3390/mi13122080.
Nanofluids are a new class of heat transfer fluids that are used for different heat transfer applications. The transport characteristics of these fluids not only depend upon flow conditions but also strongly depend on operating temperature. In respect of these facts, the properties of these fluids are modified to measure the temperature effects and used in the governing equations to see the heat and mass flow behavior. Design of Model: Consider the nanofluids which are synthesized by dispersing metallic oxides (SiO, AlO), carbon nanostructures (PEG-TGr, PEG-GnP), and nanoparticles in deionized water (DIW), with (0.025-0.1%) particle concentration over (30-50 °C) temperature range. The thermophysical properties of these fluids are modeled theoretically with the help of experimental data as a function of a temperature and volume fraction. These models are further used in transport equations for fluid flow over both wedge and plate. To get the solution, the equations are simplified in the shape of ordinary differential equations by applying the boundary layer and similarity transformations and then solved by the RK method.
The solution of the governing equation is found in the form of velocity and temperature expressions for both geometries and displayed graphically for discussion. Moreover, momentum and thermal boundary layer thicknesses, displacement, momentum thicknesses, the coefficient of skin friction, and Nusselt number are calculated numerically in tabular form.
The maximum reduction and enhancement in velocity and temperature profile is found in the case of flow over the plate as compared to the wedge. The boundary layer parameters are increased in the case of flow over the plate than the wedge.
纳米流体是一类新型的传热流体，用于不同的传热应用。这些流体的传输特性不仅取决于流动条件，还强烈依赖于操作温度。基于这些事实，对这些流体的特性进行修改以测量温度效应，并将其用于控制方程中以观察热质流行为。
考虑通过将金属氧化物（SiO、AlO）、碳纳米结构（PEG-TGr、PEG-GnP）和纳米颗粒分散在去离子水（DIW）中合成的纳米流体，颗粒浓度为（0.025 - 0.1%），温度范围为（30 - 50°C）。借助实验数据，将这些流体的热物理性质理论建模为温度和体积分数的函数。这些模型进一步用于楔形物和平板上流体流动的传输方程。为了得到解，通过应用边界层和相似变换将方程简化为常微分方程的形式，然后用龙格 - 库塔方法求解。
找到了两种几何形状下控制方程的速度和温度表达式形式的解，并以图形方式展示以供讨论。此外，以表格形式数值计算了动量和热边界层厚度、位移、动量厚度、表面摩擦系数和努塞尔数。
与楔形物相比，平板上流动情况下速度和温度分布的最大减小和增强情况被发现。平板上流动情况下的边界层参数比楔形物情况下有所增加。
