arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1310.7655physics.flu-dyn
收藏

非牛顿流体在缩放刚性管中的流动

Flow of non-Newtonian Fluids in Converging-Diverging Rigid Tubes

Taha Sochi

摘要:

本文采用基于剩余量的润滑方法,求解了非牛顿流体在缩放刚性管内的流量和压力场。五收敛发散原型的几何形状在这项调查中使用的两个流体模型:埃利斯和赫歇尔-Bulkley。收敛性敏感性试验表明,该方法收敛于收敛-发散管的解析解,收敛于收敛-发散管内牛顿流体的解析解,收敛于收敛-发散管内幂律流体的解析解.还对发散-会聚几何形状的样品进行了简要的研究。该方法原则上可以扩展到粘弹性和触变/流变流体类别的流动。该方法也可以扩展到不同的尺寸和形状在流动方向上的几何形状,而不是完美的圆柱对称的收敛-发散的,只要特征流关系关联的流量和压力降的润滑近似的离散元素上可以找到这些关系可以是解析的,经验的,甚至是数值的,因此该方法具有广泛的适用范围。

英文摘要:

A residual-based lubrication method is used in this paper to find the flow rate and pressure field in converging-diverging rigid tubes for the flow of time-independent category of non-Newtonian fluids. Five converging-diverging prototype geometries were used in this investigation in conjunction with two fluid models: Ellis and Herschel-Bulkley. The method was validated by convergence behavior sensibility tests, convergence to analytical solutions for the straight tubes as special cases for the converging-diverging tubes, convergence to analytical solutions found earlier for the flow in converging-diverging tubes of Newtonian fluids as special cases for non-Newtonian, and convergence to analytical solutions found earlier for the flow of power-law fluids in converging-diverging tubes. A brief investigation was also conducted on a sample of diverging-converging geometries. The method can in principle be extended to the flow of viscoelastic and thixotropic/rheopectic fluid categories. The method can also be extended to geometries varying in size and shape in the flow direction, other than the perfect cylindrically-symmetric converging-diverging ones, as long as characteristic flow relations correlating the flow rate to the pressure drop on the discretized elements of the lubrication approximation can be found. These relations can be analytical, empirical and even numerical and hence the method has a wide applicability range.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑