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Numerical simulation of the viscosity flow process in the region of formation of basalt fibre

机译:玄武岩纤维形成区黏性流动过程的数值模拟

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The drawing process is important for basalt fibre production. Studies of the flow and heat transfer in the process can contribute to raising the quality and strength of basalt fibre and avoiding fibre breakage. A numerical model describing heat transfer and flow in the fibre drawing of basalt fibre was constructed. The numerical simulation was based on appropriate simplifications. The geometrical shape, temperature, velocity and viscosity distributions of the fibre were obtained by solving the continuity, momentum and energy equations using the finite differential method. The governing equations were discretised in a tridiagonal matrix form and were solved using the tridiagonal matrix algorithm and the alternative direction implicit solver. The results showed that the basalt fibre cone is tapered, the rate of change of radius decreasing with distance from the nozzle. The shape of basalt fibre cone is related to nozzle diameter and final fibre diameter. The rates of change in velocity, temperature and viscosity are biggest in the mid section. Solidification of basalt fibre depends on cooling condition in the air. The results provide a theoretical basis for choosing and regulating technological parameters in fibre drawing basalt fibre.
机译:拉丝工艺对玄武岩纤维的生产很重要。研究过程中的流动和传热可有助于提高玄武岩纤维的质量和强度,并避免纤维断裂。建立了描述玄武岩纤维拉伸过程中传热和流动的数值模型。数值模拟基于适当的简化。通过使用有限微分法求解连续性,动量和能量方程,获得了纤维的几何形状,温度,速度和粘度分布。控制方程以三对角矩阵形式离散,并使用三对角矩阵算法和替代方向隐式求解器进行求解。结果表明,玄武岩纤维锥呈锥形,半径变化率随距喷嘴的距离而减小。玄武岩纤维锥的形状与喷嘴直径和最终纤维直径有关。速度,温度和粘度的变化率在中段最大。玄武岩纤维的固化取决于空气中的冷却条件。研究结果为选择和调节玄武岩纤维拉制工艺参数提供了理论依据。

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