感应磁场和变热导率对二级流体驻点流动的影响

Significance of induced magnetic field and variable thermal conductivity on stagnation point flow of second grade fluid

本文研究变热导率和感应磁场冲击作用下具有线性拉伸特性的二级流体驻点输运问题。通过适当的变换,将非线性粒子微分方程组转化为常微分方程组。用最优同伦分析方法对所得方程进行求解。通过图解研究相关参数对表面摩擦系数、温度、感应磁场、速度和局部努塞尔数的影响。利用MATLAB软件中内置的bvp4c技术对得到的级数解进行收敛和残差处理。结果表明:随着磁场参数的增大,表面摩擦系数也随拉伸比的增大而增大。为验证结果的有效性,我们与文献进行对比,发现本研究与现有文献结果非常一致。

In this study,the stagnation point transport of second grade fluid with linear stretching under the effects of variable thermal conductivity is considered.Induced magnetic field impact is also incorporated.The nonlinear set of particle differential equations is converted into set of ordinary differential equations through appropriate transformation.The resulting equations are then resolved by optimal homotopy analysis method.The effect of pertinent parameters of interest on skin friction coefficient,temperature,induced magnetic field,velocity and local Nusselt number is inspected by generating appropriate plots.For numerical results,the built-in bvp4 c technique in computational software MATLAB is used for the convergence and residual errors of obtained series solution.It is perceived that the induced magnetic field is intensified by increasing β.It can also be observed that skin friction coefficient enhances with increasing value of magnetic parameter depending on the stretching ratio a/c.For the validness of the obtained results,a comparison has been made and an excellent agreement of current study with existing literature is found.