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首页> 外文期刊>Journal of Heat Transfer >Effect of Local Thermal Nonequilibrium on the Stability of Natural Convection in an Oldroyd-B Fluid Saturated Vertical Porous Layer
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Effect of Local Thermal Nonequilibrium on the Stability of Natural Convection in an Oldroyd-B Fluid Saturated Vertical Porous Layer

机译：局部热非平衡对Oldroyd-B流体饱和垂直多孔层中自然对流稳定性的影响

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摘要

The effect of local thermal nonequilibrium (LTNE) on the stability of natural convection in a vertical porous slab saturated by an Oldroyd-B fluid is investigated. The vertical walls of the slab are impermeable and maintained at constant but different temperatures. A two-field model that represents the fluid and solid phase temperature fields separately is used for heat transport equation. The resulting stability eigenvalue problem is solved numerically using Chebyshev collocation method as the energy stability analysis becomes ineffective in deciding the stability of the system. Despite the basic state remains the same for Newtonian and viscoelastic fluids, it is observed that the base flow is unstable for viscoelastic fluids and this result is qualitatively different from Newtonian fluids. The results for Maxwell fluid are delineated as a particular case from the present study. It is found that the viscoelasticity has both stabilizing and destabilizing influence on the flow. Increase in the value of interphase heat transfer coefficient H_t, strain retardation parameter Λ_2 and diffusivity ratio α portray stabilizing influence on the system while increasing stress relaxation parameter Λ_1 and porosity-modified conductivity ratio γ exhibit an opposite trend.
机译：研究了局部热不平衡（LTNE）对Oldroyd-B流体饱和的垂直多孔板中自然对流稳定性的影响。平板的垂直壁是不可渗透的，并保持恒定但不同的温度。分别代表流体和固相温度场的两场模型用于热传递方程。由于能量稳定性分析在确定系统稳定性方面变得无效，因此使用Chebyshev搭配方法以数值方式解决了由此产生的稳定性特征值问题。尽管对于牛顿流体和粘弹性流体，基本状态保持不变，但是可以观察到，对于粘弹性流体，基流是不稳定的，并且该结果与牛顿流体在质量上是不同的。麦克斯韦流体的结果作为本研究的一个特殊案例进行了描述。发现粘弹性对流动具有稳定和不稳定的影响。相间传热系数H_t，应变延迟参数Λ_2和扩散率α的值增加对系统的稳定化影响，而应力松弛参数Λ_1和孔隙率修正的电导率γ的增加则呈现相反的趋势。

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