Falkner-Skan Flow of Nanofluid with Convective Boundary Condition

Nurul Diana Mohammad, Nur Ilyana Kamis, Mohamad Hidayad Ahmad Kamal, Sharidan Shafie, Noraihan Afiqah Rawi
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Abstract

This study focuses on the investigation of nanofluid flow with convective boundary conditions past a static wedge by considering copper as the chosen nanoparticles and water as the conventional base fluid. The governing partial differential equations (PDE) are transformed into a set of nonlinear ordinary differential equations (ODE) by using an appropriate similarity transformation. The transformed governing equations are then solved numerically by using the Keller-box method. The significant impact of parameters included wedge angle parameter, mixed convection parameter, volume fraction of nanoparticle and Biot number are presented. The graphical analysis on velocity and temperature profiles revealed that the increasing values of all considered parameters causes the increment of velocity of the flow. Meanwhile, significant changes on the temperature profiles are clearly depicted on the increment of nanoparticle volume fraction as well as the Biot number.
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带对流边界条件的纳米流体的 Falkner-Skan 流动
本研究以铜为纳米粒子,水为传统基础流体,重点研究了纳米流体在对流边界条件下流过静态楔体的情况。通过适当的相似性变换,将控制偏微分方程(PDE)转换为一组非线性常微分方程(ODE)。然后使用 Keller-box 方法对转换后的控制方程进行数值求解。文中介绍了楔角参数、混合对流参数、纳米粒子体积分数和 Biot 数等参数的重要影响。对速度和温度曲线的图形分析表明,所有参数值的增加都会导致流速的增加。同时,纳米粒子体积分数和比奥特数的增加对温度曲线也有明显影响。
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