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首页> 外文期刊>International journal of numerical methods for heat & fluid flow >Effects of temperature-dependent viscosity and thermal conductivity on mixed convection flow along a magnetized vertical surface
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Effects of temperature-dependent viscosity and thermal conductivity on mixed convection flow along a magnetized vertical surface

机译：温度相关的粘度和导热率对沿垂直磁化表面的混合对流的影响

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Purpose - The purpose of this paper is to report a numerical solution for the problem of steady, two dimensional boundary layer buoyant flow on a vertical magnetized surface, when both the viscosity and thermal conductivity are assumed to be temperature-dependent. In this case, the motion is governed by a coupled set of three nonlinear partial differential equations, which are solved numerically by using the finite difference method (FDM) by introducing the primitive variable formulation. Calculations of the coupled equations are performed to investigate the effects of the different governing parameters on the profiles of velocity, temperature and the transverse component of magnetic field. The effects of the thermal conductivity variation parameter, viscosity variation parameter, magnetic Prandtl number Pm_r, magnetic force parameter S, mixed convection parameter Ri and the Prandtl number Pr on the flow structure and heat transfer characteristics are also examined. Design/methodology/approach - FDM. Findings - It is noted that when the Prandtl number Pr is sufficiently large, i.e. Pr = 100, the buoyancy force that driven the fluid motion is decreased that decrease the momentum boundary layer and there is no change in thermal boundary layer is noticed. It is also noted that due to slow motion of the fluid the magnetic current generates which increase the magnetic boundary layer thickness at the surface. It is observed that the momentum boundary layer thickness is increased, thermal and magnetic field boundary layers are decreased with the increase of thermal conductivity variation parameter = 100. The maximum boundary layer thickness is increased for = 100 and there is no change seen in the case of thermal boundary layer thickness but magnetic field boundary layer is deceased. The momentum boundary layer thickness shoot quickly for = 40 but is very smooth for = 50.There is no change is seen for the case of thermal boundary layer and very clear decay for = 40 is noted. Originality/value - This work is original research work.
机译：目的-本文的目的是报告一个数值解决方案，当假定粘度和热导率均与温度有关时，在垂直磁化表面上稳定的二维边界层浮力问题。在这种情况下，运动由三个非线性偏微分方程的耦合集合控制，这三个方程通过引入原始变量公式使用有限差分法（FDM）进行数值求解。进行耦合方程的计算以研究不同控制参数对速度，温度和磁场横向分量的分布的影响。还研究了热导率变化参数，粘度变化参数，普朗特数Pm_r，磁力参数S，对流混合参数Ri和普朗特数Pr对流动结构和传热特性的影响。设计/方法/方法-FDM。结果-注意到，当普兰特数Pr足够大时，即Pr ＝ 100，驱动流体运动的浮力减小，从而减小了动量边界层，并且注意到热边界层没有变化。还应注意，由于流体的缓慢运动，产生了磁电流，这增加了表面处的磁边界层的厚度。观察到，随着导热系数变化参数= 100的增加，动量边界层的厚度增加，热和磁场边界层的厚度减小。最大边界层的厚度在= 100的情况下增加，在这种情况下没有变化热边界层的厚度减小，但磁场边界层减小。动量边界层厚度在= 40时迅速增加，但在= 50时非常平滑。对于热边界层情况没有变化，注意到= 40时有非常明显的衰减。原创性/价值-这是原创研究工作。

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