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首页> 外文期刊>Journal of Quality Measurement and Analysis: JQMA >STABILITY ANALYSIS OF STAGNATION-POINT FLOW PAST A SHRINKING SHEET IN A NANOFLUID
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STABILITY ANALYSIS OF STAGNATION-POINT FLOW PAST A SHRINKING SHEET IN A NANOFLUID

机译:纳米流体中滞留点流动稳定性分析

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摘要

In this paper, a numerical and theoretical study has been performed for the stagnation-point boundary layer flow and heat transfer towards a shrinking sheet in a nanofluid. The mathematical nanofluid model in which the effect of the nanoparticle volume fraction is taken into account, is considered. The governing nonlinear partial differential equations are transformed into a system of nonlinear ordinary differential equations using a similarity transformation which is then solved numerically using the function bvp4c in Matlab. Numerical results are obtained for the skin friction coefficient, the local Nusselt number as well as the velocity and temperature profiles for some values of the governing parameters, namely the nanoparticle volume fraction Φ, the shrinking parameter λ and the Prandtl number Pr. Three different types of nanoparticles are considered, namely Cu, Al_2O_3 and TiO_2. It is found that solutions do not exist for larger shrinking rates and dual (upper and lower branch) solutions exist when λ < -1.0. A stability analysis has been performed to determine which branch solutions are stable and physically realisable. It is also found that the upper branch solutions are stable while the lower branch solutions are unstable.
机译:在本文中,已经对纳米流体中的滞留点边界层流动和热传递进行了数值和理论研究。考虑了纳米颗粒体积分数效应的数学纳米流体模型。控制非线性偏微分方程使用相似性转换转换为非线性常微分方程的系统,然后在MATLAB中使用函数BVP4C在数值上进行数字地进行解决。为皮肤摩擦系数,局部露珠数以及用于控制参数的某些值的速度和温度分布而获得数值结果,即纳米颗粒体积分数φ,收缩参数λ和prandtl数Pr。考虑三种不同类型的纳米颗粒,即Cu,Al_2O_3和TiO_2。结果发现,对于较大的收缩速率,并且当λ<-1.0时,存在双(上部和下部分支)解决方案。已经进行了稳定性分析以确定哪种分支解决方案是稳定和物理可实现的。还发现上部分支解决方案稳定,而下部分支溶液不稳定。

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