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Magnetohydrodynamic Boundary Layer Nanofluid Flow and Heat Transfer over a Stretching Surface

机译:磁力动力学边界层纳米流体流动和拉伸表面的热传递

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The present study is performed to investigate the effect of unsteadiness, stretching ratio, Brownian motion, thermophoresis and magnetic parameter on boundary layer such as momentum, thermal and nanoparticle concentration. In this respect we have considered the magnetohydrodynamic (MHD) unsteady boundary layer nanofluid flow and heat - mass transfer over a stretching surface. The dimensionless governing equations are unsteady, two-dimensional coupled and non-linear ordinary differential equations. The numerical solution is taken by applying the Nachtsgeim-Swigert shooting iteration technique along with Runge-Kutta integration scheme. The effects of various dimensionless parameters on velocity, temperature and nanoparticle concentration are discussed numerically and shown graphically. Therefore, from the figures it is observed that the results of velocity profile increases for increasing values of magnetic parameter and unsteadiness parameter but decreases for stretching ratio parameter, the temperature profile decreases in presence of Brownian motion, unsteadiness parameter, stretching ratio parameter and thermophoresis parameter but increases for magnetic parameter and, the nanoparticle concentration decreases for increasing values of thermophoresis parameter, unsteadiness parameter and stretching ratio parameter whereas the reverse trend arises for Brownian motion & magnetic parameter. For validity and accuracy the present results are compared with previously published work and found good agreement.
机译:进行本研究以研究不稳定,拉伸比,褐色运动,耐热度和磁性参数在边界层上的影响,例如动量,热和纳米颗粒浓度。在这方面,我们已经考虑了磁性动力学(MHD)不稳定边界层纳米流体流动和热量传质在拉伸表面上。无量纲的控制方程是不稳定的,二维耦合和非线性常微分方程。通过应用Nachtsgeim-Swigert拍摄迭代技术以及runge-Kutta集成方案来拍摄数值解决方案。各种无量纲参数对速度,温度和纳米颗粒浓度的影响在数值上进行了数字上并以图形方式示出。因此,从图中观察到,速度分布的结果增加,用于增加磁性参数和不稳定参数的值,但是对于拉伸比参数的减小,温度曲线在褐色运动的存在下减小,不稳定参数,拉伸比参数和刺激性参数减小但是对于磁性参数的增加,并且纳米颗粒浓度降低,用于增加热孔化参数的值,不稳定参数和拉伸比参数,而褐色运动和磁参数出现反向趋势。有效性和准确性,将与先前公布的工作进行比较,并找到良好的一致性。

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