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Numerical analysis of hydromagnetic mixed convective flow in an internally heated vertical porous layer using thermal nonequilibrium model

机译:Numerical analysis of hydromagnetic mixed convective flow in an internally heated vertical porous layer using thermal nonequilibrium model

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摘要

The inertial and viscous effects on mixed hydromagnetic convection in a vertical porous channel using a local thermal nonequilibrium model with uniformly distributed internal sources are analyzed. The flow in the porous medium is described by the Brinkman–Forchheimer extension of Darcy's momentum equation. The vertical rigid boundaries are maintained at constant but different temperatures and a uniform magnetic field H0 ${H}_{0}$ is applied across the porous layer. The governing equations are solved numerically by the finite element method and analytically by the perturbation method. The influence of governing parameters on the flow variables and heat transfer is discussed. An extensive study designates that an increase in the Darcy number enhances the velocity distribution due to increased permeability of the medium while the opposite trend is observed with increasing Hartmann number due to the increased retarding nature of Lorentz force. The presence of an external heat source has a notable impact on the temperature gradient of the fluid, which results in an increase in temperature distribution and thermal state of the fluid. A quantitative increase in heat transfer coefficient results in an increase of fluid temperature toward the electrically nonconducting wall, and as the fluid moves toward the electrically conducting wall the fluid temperature decreases. The results indicate that the Nusselt number declines with an increase in the solid internal heat generation parameter.
机译:惯性、粘性对混合的影响磁流对流垂直多孔使用本地频道热非平衡模型与均匀分布的内部来源进行了分析。Brinkman-Forchheimer所描述的扩展达西的动量方程。保持恒定,但边界不同的温度和均匀磁场场H0 $ {H} _{0} $应用多孔层。由有限元法和数值由微扰法分析。控制参数对流动的影响变量和传热进行了探讨。广泛的研究标明,增加达西数提高了速度由于增加渗透率的分布而相反的趋势是观察到的媒介增加哈特曼由于数量增加洛伦兹力减速的本质。外部热源有着显著的影响液体的温度梯度,导致温度的增加分布和热流体的状态。定量增加传热在增加流体系数结果温度对不导电墙,液体走向导电流体温度降低。增加的努塞尔特数下降固体内部生热性参数。

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