Numerical investigation of nonlinear radiative flux of non-Newtonian MHD fluid induced by nonlinear driven multi-physical curved mechanism with variable magnetic field

K. Sanni, Adeshola Adediran, Aliu Tajudeen
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Abstract

This paper discusses two-dimensional heat flow of an incompressible non-Newtonian hydromagnetic fluid over a power-law stretching curved sheet. The energy equation of the flow problem considers a radiative flux influenced by viscous dissipation and surface frictional heating. Lorentz force and Joule heating are taken in the consequence of applied variable magnetic field satisfying solenoidal nature of magnetism. The governing equations are reduced to boundary-layer regime using dimensionless quantities and the resulting PDEs are converted into ODEs by suitable similarity variables. The flow fields; velocity and temperature are computed numerically by implementing Keller-Box shooting method with Jacobi iterative technique. Error analysis is calculated to ensure solutions' convergence. Interesting flow parameters are examined and plotted graphically. Results show that velocity is increased for large number of fluid rheology and opposite effects are recorded for increasing curvature, Lorentz force, and stretching power. Flow past a flat and curved surfaces are substantial in validation of this present work.
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变磁场下非线性驱动多物理弯曲机构诱导非牛顿MHD流体非线性辐射通量的数值研究
本文讨论了不可压缩非牛顿磁流体在幂律拉伸曲面上的二维热流。流动问题的能量方程考虑了受粘性耗散和表面摩擦加热影响的辐射通量。在满足磁的螺线形性质的变磁场作用下,得到了洛伦兹力和焦耳热。利用无量纲量将控制方程简化为边界层状态,并通过适当的相似变量将得到的偏微分方程转换为偏微分方程。流场;采用Keller-Box射击法结合Jacobi迭代技术对速度和温度进行了数值计算。计算误差分析以保证解的收敛性。研究了有趣的流动参数并绘制了图形。结果表明,流体流变性大时,速度增大,曲率、洛伦兹力和拉伸力增大则相反。通过平面和曲面的流动在验证本工作中是重要的。
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