In the present paper, we analyzed the laminar boundary layer flow and heat transfer from a horizontal cylinder in a nanofluid-saturated non-Darcy porous medium in the presence of thermal radiation. This is the first paper presenting non-similar solutions for such a regime.The boundary layer conservation equations,which are parabolic in nature,are normalized into non-similar form and then solved computationally with an efficient, implicit, stable Keller-box finite difference scheme. Non-Darcy effects are simulated via a second-order Forchheimer drag force term in the momentum boundary layer equation. The model used for the nanofluid incorporates the effects of Brownian motion, buoyancy ratio, and thermophoresis. A non-similarity solution is presented that depends on the Brownian motion number (Nb), buoyancy ratio (Nr), thermophoresis number (Nt), Forchheimer parameter (Λ), and radiation parameter (F). Velocity is reduced with increasing Forchheimer parameter, whereas temperature and nanoparticle concentration are both enhanced.The model finds applications in energy systems and thermal enhancement of industrial flow processes

中文翻译：

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纳米流体通过嵌入非达西多孔介质中的水平圆柱体的自由对流热和质量传递

在本文中，我们分析了在存在热辐射的情况下，纳米流体饱和的非达西多孔介质中水平圆柱体的层流边界层流动和传热。这是第一篇提出这种状态的非相似解的论文。边界层守恒方程本质上是抛物线，被归一化为非相似形式，然后用有效、隐式、稳定的 Keller-box 有限差分进行计算求解方案。非达西效应通过动量边界层方程中的二阶 Forchheimer 阻力项进行模拟。用于纳米流体的模型结合了布朗运动、浮力比和热泳的影响。提出了一个非相似性解决方案，它取决于布朗运动数 (Nb)、浮力比 (Nr)、热泳数 (Nt)、Forchheimer 参数 (Λ) 和辐射参数 (F)。随着 Forchheimer 参数的增加，速度会降低，而温度和纳米颗粒浓度都会增加。 该模型在能源系统和工业流程的热增强中找到了应用