Solutions for radial flow of a Bingham fluid are analyzed in this paper.It aims to eliminate confusions in the literature concerning the plug flow region in different solutions for analysis and design of grouting in r...Solutions for radial flow of a Bingham fluid are analyzed in this paper.It aims to eliminate confusions in the literature concerning the plug flow region in different solutions for analysis and design of grouting in rock fractures.The analyses based on the force balance equation reveal that the plug flow region in Bingham radial flow is independent of the fracture radius,and is not a growth function adapted from the solution of one-dimensional(1D)slit flow according to‘similarity’.Based on the shear stress distribution,we analytically proposed that a non-uniform plug flow region cannot exist.The Bingham fluid(grout)penetration and flowrate evolution as functions of grouting time are given using the correct expression for the plug flow region.The radius-independent plug flow region and the presented flowrate evolution equation are also verified numerically.For radial flow,the relative penetration length is equal to the relative width of plug flow region,which is the same as that for 1D channel flow.Discrepancies in analytical solutions for grout penetration and flowrate evolution were also illustrated.The clarification of the plug flow region and evaluation of discrepancies in analytical solutions presented in this work could simplify modeling and design of grouting in rock engineering applications.展开更多
采用计算流体力学方法,从计算流体力学的基本方程出发,引入孔隙率和阻力系数,建立径向固定床反应器内流体流动的数学模型。在计算流体力学商业软件 FLUENT6.1上,对4种流动类型径向流固定床反应器内流场进行了数值模拟研究,得到了固定床...采用计算流体力学方法,从计算流体力学的基本方程出发,引入孔隙率和阻力系数,建立径向固定床反应器内流体流动的数学模型。在计算流体力学商业软件 FLUENT6.1上,对4种流动类型径向流固定床反应器内流场进行了数值模拟研究,得到了固定床反应器内详细的速度和压力分布情况。模拟结果表明,在径向流固定床反应器中,在床层阻力作用下,大部分气体沿径向方向流过床层,在床层中部速度分布比较均匀。4种流动类型反应器中,离心流动优于向心流动,离心Ⅱ型优于离心 Z 型;向心 Z 型反应器内流体流动的轴向分布最不均匀,其次为向心Ⅱ型、离心 Z 型和离心Ⅱ型,离心Ⅱ型反应器中流体流动分布最均匀。展开更多
基金funding for this study is provided by the BeFo Rock Engineering Research Foundation(Grant No.392)。
文摘Solutions for radial flow of a Bingham fluid are analyzed in this paper.It aims to eliminate confusions in the literature concerning the plug flow region in different solutions for analysis and design of grouting in rock fractures.The analyses based on the force balance equation reveal that the plug flow region in Bingham radial flow is independent of the fracture radius,and is not a growth function adapted from the solution of one-dimensional(1D)slit flow according to‘similarity’.Based on the shear stress distribution,we analytically proposed that a non-uniform plug flow region cannot exist.The Bingham fluid(grout)penetration and flowrate evolution as functions of grouting time are given using the correct expression for the plug flow region.The radius-independent plug flow region and the presented flowrate evolution equation are also verified numerically.For radial flow,the relative penetration length is equal to the relative width of plug flow region,which is the same as that for 1D channel flow.Discrepancies in analytical solutions for grout penetration and flowrate evolution were also illustrated.The clarification of the plug flow region and evaluation of discrepancies in analytical solutions presented in this work could simplify modeling and design of grouting in rock engineering applications.
文摘采用计算流体力学方法,从计算流体力学的基本方程出发,引入孔隙率和阻力系数,建立径向固定床反应器内流体流动的数学模型。在计算流体力学商业软件 FLUENT6.1上,对4种流动类型径向流固定床反应器内流场进行了数值模拟研究,得到了固定床反应器内详细的速度和压力分布情况。模拟结果表明,在径向流固定床反应器中,在床层阻力作用下,大部分气体沿径向方向流过床层,在床层中部速度分布比较均匀。4种流动类型反应器中,离心流动优于向心流动,离心Ⅱ型优于离心 Z 型;向心 Z 型反应器内流体流动的轴向分布最不均匀,其次为向心Ⅱ型、离心 Z 型和离心Ⅱ型,离心Ⅱ型反应器中流体流动分布最均匀。