On Similarity Solutions to the Viscous Flow and Heat Transfer of Nanofluid Over Nonlinearly Stretching Sheet
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摘要: 当含金属颗粒的粘性流体(即纳米流体)流过非线性伸展平面时,分析其边界层流动及其热交换.假设伸展速度是到原点距离的幂函数.将偏微分的控制方程及其相应的边界条件,简化为耦合的非线性常微分方程及其相应的边界条件.数值地求解所得到的非线性常微分方程.讨论了各相关参数(即Eckert数Ec, 纳米颗粒的固体体积率和非线性伸展参数n)对问题结果的影响,并与先前文献所报道的结果进行了对比.研究了不同类型的纳米颗粒.发现纳米流体的流动特性随着纳米颗粒类型的改变而变化.Abstract: The boundary-layer flow and heat transfer in a viscous fluid containing metallic nanoparticles over a nonlinear stretching sheet was analyzed. The stretching velocity was assumed to vary as a power function of the distance from the origin. The governing partial differential equation and auxiliary conditions were reduced to coupled nonlinear ordinary differential equations with the appropriate corresponding auxiliary conditions. The resulting non-linear ODEs were solved numerically. The influences of various relevant parameters, namely, the Eckert number Ec,the solid volume fraction of the nanoparticles and the nonlinear stretching parameter n were discussed and comparison with published results was presented. Different types of nanoparticles were studied. It was noted that the behavior of the fluid flow was changed with the change of the nanoparticles type.
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