Dual solutions in MHD stagnation-point flow and heat transfer of Williamson nanofluid over a nonlinear shrinking sheet
首发时间:2017-12-26
Abstract:A MHD stagnation-point flow and heat transfer of Williamson nanofluid over a nonlinear shrinking sheet is investigated. The boundary-layer governing equations with a variable induced magnetic field are formulated and reduced to ordinary differential equations. The similar equations are solved numerically using Bvp4c with Matlab, and the dual solutions are found. Interestingly, there exists mc as a critical power-law index for the special dual solutions, in fact, there exists no critical value for the general Williamson nanofluid model. And on the two sides of the critical value, the dimensionless physical quantity will show different trending with the increase of the power low index.
keywords: MHD Nonlinear shrinking sheet Induced magnetic field heat transfer Williamson nanofluid Dual solutions
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非线性收缩壁面上磁性Williamson纳米流体驻点流动和传热问题的双解
摘要:本文主要讨论了一类流经非线性收缩壁面上的磁性Williamson纳米流体驻点流动和传热问题。通过合理的相似变换,将感应磁场的边界层控制方程简化为一组常微分方程。利用MATLAB软件的BVP4C对方程组进行了求解,并发现了方程组存在着双解。有趣的是,数值结果表明,此处存在一个有关于幂律指数的临界点mc,使得在临界值的两侧,无量纲物理量随着幂律指数的增加而呈现出不同的趋势。而与之对应的,在一般的无磁场Williamson纳米流体模型中并没有这样的临界值。
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非线性收缩壁面上磁性Williamson纳米流体驻点流动和传热问题的双解
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