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Exact solutions for a longitudinal steady mixed convection flow over a permeable vertical thin cylinder in a porous medium

机译:多孔介质中可渗透垂直薄圆柱体上纵向稳定混合对流的精确解

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摘要

The title problem is considered under the assumption that both the surface temperature of the cylinder and the mainstream velocity at the outer edge of the boundary layer vary linearly with the axial distance x from the leading edge. Self-similar solutions are given in exact analytic form. Their domain of existence in the plane (f_w,λ) of the suction/injection parameter f_w and the mixed convection parameter λ is determined. It is shown that in general for both the aiding (λ > 0) as well as the opposing (λ < 0) flow regimes multiple solutions bifurcating from certain branching curves of the plane (f_w, λ) occur. The particular case of the dual solutions is discussed in the paper in detail.
机译:在以下假设下考虑标题问题:圆柱体的表面温度和边界层外边缘处的主流速度都随距前边缘的轴向距离x线性变化。自相似解以精确的分析形式给出。确定它们在抽吸/喷射参数f_w和混合对流参数λ的平面(f_w,λ)中的存在域。结果表明,通常对于辅助(λ> 0)以及相反(λ<0)流动状态,都会出现从平面的某些分支曲线(f_w,λ)分叉的多个解。本文详细讨论了双重解决方案的特殊情况。

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