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首页> 外文期刊>Transport in Porous Media >Mixed Convection Boundary-Layer Flow Along a Vertical Cylinder Embedded in a Porous Medium Filled by a Nanofluid
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Mixed Convection Boundary-Layer Flow Along a Vertical Cylinder Embedded in a Porous Medium Filled by a Nanofluid

机译：沿垂直圆柱的混合对流边界层流，该垂直圆柱嵌入纳米流体填充的多孔介质中

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摘要

The steady mixed convection boundary-layer flow on a vertical circular cylinder embedded in a porous medium filled by a nanofluid is studied for both cases of a heated and a cooled cylinder. The governing system of partial differential equations is reduced to ordinary differential equations by assuming that the surface temperature of the cylinder and the velocity of the external (inviscid) flow vary linearly with the axial distance x measured from the leading edge. Solutions of the resulting ordinary differential equations for the flow and heat transfer characteristics are evaluated numerically for various values of the governing parameters, namely the nanoparticle volume fraction Φ, the mixed convection or buoyancy parameter λ and the curvature parameter γ. Results are presented for the specific case of copper nanoparticles. A critical value λ_c of λ with λ_c < 0 is found, with the values of |λ_c| increasing as the curvature parameter y or nanoparticle volume fraction Φ is increased. Dual solutions are seen for all values of λ> λ_c for both aiding, λ > 0 and opposing, λ < 0, flows. Asymptotic solutions are also determined for both the free convection limit (λ? 1) and for large curvature parameter (γ ? 1).
机译：在加热和冷却的圆柱体情况下，都研究了垂直圆柱体上的稳态混合对流边界层流，该圆柱体埋在由纳米流体填充的多孔介质中。通过假设圆柱体的表面温度和外部（无粘性）流的速度随从前缘测得的轴向距离x线性变化，将偏微分方程的控制系统简化为常微分方程。对于各种控制参数值，即纳米颗粒体积分数Φ，混合对流或浮力参数λ和曲率参数γ，对所得的流动和传热特性的常微分方程的解进行了数值评估。给出了针对特定情况的铜纳米粒子的结果。找到λ的临界值λ_c，其中λ_c<0，值为|λ_c|。随着曲率参数y或纳米颗粒体积分数Φ增加而增加。对于辅助>λ> 0和相反的λ<0，对于λ>λ_c的所有值都可以看到双重解。还确定了自由对流极限（λ？1）和大曲率参数（γ？1）的渐近解。

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