This article demonstrates the analysis of hydrodynamics in the existence of a magnetic field. Heat transfer is analyzed for the unsteady flow of non-Newtonian fluid. The thermal conductivity is enhanced by introducing nanoparticles in the non-Newtonian fluid. Magnetohydrodynamics is introduced to control the turbulence in the flow. The dimensional equations satisfying the stated assumptions of the fluid flow and the motion of nanoparticles are presented. Fourier law is incorporated in the evaluation of heat flux. The analysis is tested in the fixed frame of reference. The mathematical coupled equations of motion are solved numerically. It is concluded that the Casson parameter leads to enhance velocity profile whereas the temperature profile is declined.

本文演示了在存在磁场的情况下对流体动力学的分析。分析了非牛顿流体的非稳态流动的传热。通过在非牛顿流体中引入纳米颗粒，可以提高热导率。引入了磁流体动力学来控制流动中的湍流。提出了满足所述流体流动和纳米颗粒运动的假设假设的尺寸方程。傅里叶定律被纳入热通量的评估中。分析在固定的参照系中进行测试。数学上耦合的运动方程是数值求解的。结论是，卡森参数导致速度分布增强，而温度分布下降。