International Journal of Thermal Sciences ( IF 4.5 ) Pub Date : 2021-02-18 , DOI: 10.1016/j.ijthermalsci.2021.106895 Dibyendu Ghosh , Phaojee R. Meena , Prasanta K. Das
In the present work, we report heat transfer during the unidirectional laminar flow of ferrofluids in a parallel plate channel in the presence of a homogeneously applied magnetic field perpendicular to the flow direction. We have considered generalized Couette flow which results from the combination of shear stress, due to the relative motion between the parallel plates, and applied pressure gradient. For a comprehensive investigation, four different thermal boundary conditions have been considered. The application of magnetic field modifies the viscosity of the colloidal ferrofluid and thereby causes variations in the local flow field. Further, it also modifies the thermal conductivity of the fluid by changing particle orientation. As a consequence, the temperature distribution between the parallel plate channel is uniquely modified. The complex interplay between the hydrodynamics and the magnetics results in implicitly coupled governing differential equations, which have been solved numerically. We report that the local temperature in the domain could be reduced by increasing the applied field strength irrespective of the imposed thermal boundary conditions. However, the influence of the applied field finally gets saturated. We also discuss the effect of Brinkman number, loading of magnetic particles and pressure gradient on temperature distribution. Finally, analytical solutions, which presents closed-form expressions of the temperature profiles for four different types of boundary conditions, have been proposed.
中文翻译:
在存在正交磁场的情况下,在广义库埃特流经平行板期间从铁磁流体传热
在目前的工作中,我们报告了在垂直于流动方向均匀施加磁场的情况下,铁磁流体在平行板通道中的单向层流中的热传递。我们已经考虑了广义库埃特流,这是由于平行板之间的相对运动和施加的压力梯度所引起的剪切应力的组合。为了进行全面调查,考虑了四种不同的热边界条件。磁场的施加改变了胶态铁磁流体的粘度,从而引起局部流场的变化。另外,它还通过改变颗粒取向来改变流体的导热率。结果,平行板通道之间的温度分布被独特地改变。流体动力学和磁学之间的复杂相互作用导致隐式耦合的控制微分方程,这些问题已通过数值求解。我们报告说,可以通过增加施加的场强来降低域中的局部温度,而与施加的热边界条件无关。但是,施加场的影响最终达到饱和。我们还将讨论Brinkman数,磁性颗粒的负载和压力梯度对温度分布的影响。最后,提出了解析解,它给出了四种不同类型的边界条件的温度曲线的封闭形式。我们报告说,可以通过增加施加的场强来降低域中的局部温度,而与施加的热边界条件无关。但是,施加场的影响最终达到饱和。我们还将讨论Brinkman数,磁性颗粒的负载和压力梯度对温度分布的影响。最后,提出了解析解,它给出了四种不同类型边界条件的温度曲线的封闭形式。我们报告说,可以通过增加施加的场强来降低域中的局部温度,而与施加的热边界条件无关。但是,施加场的影响最终达到饱和。我们还将讨论Brinkman数,磁性颗粒的负载和压力梯度对温度分布的影响。最后,提出了解析解,它给出了四种不同类型的边界条件的温度曲线的封闭形式。磁性颗粒的载荷和温度分布上的压力梯度。最后,提出了解析解,它给出了四种不同类型的边界条件的温度曲线的封闭形式。磁性颗粒的载荷和温度分布上的压力梯度。最后,提出了解析解,它给出了四种不同类型的边界条件的温度曲线的封闭形式。