三维驻点区域纳米流体的g-抖动自由对流流动

IF 0.3 Q4 MATHEMATICS Matematika Pub Date : 2019-07-31 DOI:10.11113/MATEMATIKA.V35.N2.1116
M. Kamal, Anati Ali, S. Shafie
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引用次数: 4

摘要

本文研究了三维自由对流边界层在黏性纳米流体中嵌入滞止点附近的g抖动效应。铜(Cu)型和氧化铝(Al2O3)型的水基纳米流体具有恒定的普朗特数,Pr=6.2。基于Tiwari-Das纳米流体模型,采用无量纲变量将边界层方程转换为无量纲形式,采用隐式有限差分格式Keller-box法进行数值求解。通过控制振动频率、重力调制幅度和纳米颗粒体积分数等参数,研究了表面摩擦和努塞数等流体流动行为。给出了不同节点主曲率比值下的表面摩擦减小量和努塞数。数值计算结果表明,当固体纳米颗粒存在时,在Nusset数值和表面摩擦力值中都出现了灰化现象。值得一提的是,对于平面驻点,沿y方向没有减小的表面摩擦,而对于轴对称驻点,两个方向的表面摩擦减小是相同的。随着纳米颗粒体积分数的增加,表面摩擦力增大,Nusset数增加。结果表明,铜的表面摩擦比氧化铝高。
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g-Jitter Free Convection Flow of Nanofluid in The Three-Dimensional Stagnation Point Region
The three dimensional free convection boundary layer flow near a stagnation point region is embedded in viscous nanofluid with the effect of g-jitter is studied in this paper. Copper (Cu) and aluminium oxide (Al2O3) types of water base nanofluid are cho- sen with the constant Prandtl number, Pr=6.2. Based on Tiwari-Das nanofluid model, the boundary layer equation used is converted into a non-dimensional form by adopting non- dimensional variables and is solved numerically by engaging an implicit finite-difference scheme known as Keller-box method. Behaviors of fluid flow such as skin friction and Nusset number are studied by the controlled parameters including oscillation frequency, amplitude of gravity modulation and nanoparticles volume fraction. The reduced skin friction and Nusset number are presented graphically and discussed for different values of principal curvatures ratio at the nodal point. The numerical results shows that, in- crement occurs in the values of Nusset number with the presence of solid nanoparticles together with the values of the skin friction. It is worth mentioning that for the plane stagnation point there is an absence of reduced skin friction along the y-direction where as for axisymmetric stagnation point, the reduced skin friction for both directions are the same. As nanoparticles volume fraction increased, the skin friction increased as well as the Nusset number. The results, indicated that skin frictions of copper are found higher than aluminium oxide.
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Matematika
Matematika MATHEMATICS-
自引率
25.00%
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0
审稿时长
24 weeks
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