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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >MHD oblique stagnation point flow of nanofluid over an oscillatory stretching/shrinking sheet: existence of dual solutions
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MHD oblique stagnation point flow of nanofluid over an oscillatory stretching/shrinking sheet: existence of dual solutions

机译：振动拉伸/收缩纸张纳米流体的MHD斜停滞点流动：双解决方案的存在

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摘要

An unsteady magnetohydrodynamic oblique stagnation point flow of an incompressible nanofluid towards a stretching/shrinking surface with the effect of mass suction on the oscillatory surface is analyzed. Water is considered as a base fluid while single wall carbon nanotubes are assumed as nanoparticles. The governing flow equations are transformed into a system of coupled nonlinear ordinary differential equations via suitable transformation. Dual solutions of these nonlinear coupled equations are obtained by utilizing the bvp4c package in MATLAB. It is also found that these solutions survive in a certain domain of controlling parameters. The physical influence of several controlling parameters like nanoparticle volume fraction parameter, Hartmann number, stretching/shrinking parameter and suction parameter on heat transfer characteristics and flow field are discussed in detail and are demonstrated through graphs. We find that dual solutions exist in both the stretching case and the shrinking case. Also, the lower solution branch shows singular behavior for the skin friction coefficient in the shrinking domain whereas the upper solution branch has smooth behavior in both the stretching and shrinking domains.
机译：分析了朝向拉伸/收缩表面的不稳定磁力流体倾斜点流动，其具有振荡表面对振荡表面的效果。水被认为是基础流体，而单壁碳纳米管被假定为纳米颗粒。通过合适的变换将控制流程方程转换为耦合非线性常微分方程的系统。通过利用MATLAB中的BVP4C包来获得这些非线性耦合方程的双解。还发现这些解决方案在控制参数的某个领域中存活。详细讨论了纳米颗粒体积分数，Hartmann号，拉伸/收缩参数和抽吸参数等若干控制参数的物理影响和传热特性和流场的抽吸参数。通过图表进行说明。我们发现，拉伸箱和收缩案例都存在双解决方案。而且，下溶液分支显示了缩小结构域中的皮肤摩擦系数的奇异行为，而上溶液分支在拉伸和收缩结构域中具有平滑的行为。

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