AI 中文总结
研究浸没在加林斯坦中的等热流圆柱体强制对流换热,用四阶紧致有限差分格式结合伪时间迭代技术求解相关方程,研究雷诺数对流动和传热特性的影响,提出新经验关联式,与数值数据一致性良好。
AI 中文摘要
本文对浸没在液态金属加林斯坦中的等热流圆柱体的稳态强制对流换热进行了数值研究。使用圆柱坐标系下的四阶紧致有限差分格式(FOCS-CC)结合稳定的伪时间迭代(PTI)技术求解控制流函数、涡度和能量方程。系统研究了雷诺数(1≤Re≤600)对加林斯坦(Prandtl数Pr = 0.025)流动和传热特性的影响。通过网格独立性研究和与先前发表的雷诺数范围内平均努塞尔数和总阻力系数的数值结果进行验证,确立了所提方案的性能和准确性。通过流线模式、等温线分布和局部努塞尔数变化研究了雷诺数(1≤Re≤600)对流动和热场的影响。结果表明,增加雷诺数会促进流动分离、扩大尾流区域、增强下游热传输并显著增强圆柱体表面的对流换热。此外,针对加林斯坦流体在雷诺数范围1≤Re≤600内提出了一个新的平均努塞尔数经验关联式,与数值数据具有良好的一致性,决定系数R² = 0.99939。
英文摘要
A numerical investigation of steady forced convection heat transfer from an isoflux circular cylinder immersed in the liquid metal Galinstan is presented. The governing streamfunction, vorticity, and energy equations are solved using a fourth-order compact finite difference scheme in cylindrical coordinates (FOCS--CC) coupled with a stable pseudo-time iteration (PTI) technique. The influence of the Reynolds number ($1 \leq Re \leq 600$) on the flow and heat transfer characteristics is systematically investigated for Galinstan with a Prandtl number of $Pr=0.025$. The performance and accuracy of the proposed scheme are first established through grid independence studies and validation against previously published numerical results for the average Nusselt number and total drag coefficient over a range of Reynolds numbers. Excellent agreement with the available literature confirms the reliability and robustness of the present formulation. The effects of Reynolds number ($1\leq Re\leq600$) on the flow and thermal fields are examined through streamline patterns, isotherm distributions, and local Nusselt number variations. The results reveal that increasing the Reynolds number promotes flow separation, enlarges the wake region, intensifies downstream thermal transport, and significantly enhances convective heat transfer from the cylinder surface. Furthermore, a new empirical correlation for the average Nusselt number is proposed for Galinstan fluid over the Reynolds number range $1\leq Re\leq600$, exhibiting excellent agreement with the numerical data with a coefficient of determination of $R^2=0.99939$.
CommentsAfter further examination, I realized that the manuscript contains fundamental scientific errors. In particular, at (Re=600), the flow is neither steady nor two-dimensional, contrary to the assumptions used. This affects the validity of the results and conclusions. Therefore, I respectfully request withdrawal of the manuscript