(1. 北京科技大學(xué) 土木與資源工程學(xué)院，北京 100083；
2. 北京科技大學(xué) 金屬礦山高效開采與安全教育部重點實驗室，北京 100083)
摘 要: 為定量表征全尾砂膏體管道輸送過程中壁面滑移效應(yīng)的減阻效果，基于膏體柱塞流動模型和H-B流變模型推導(dǎo)出考慮壁面滑移效應(yīng)的管道阻力公式。滑移層厚度可根據(jù)尾砂平均粒徑、膏體體積濃度和極限體積濃度進(jìn)行計算。當(dāng)H-B流變模型退變?yōu)橘e漢流變模型時，考慮壁面滑移效應(yīng)的管道阻力公式由小于1的無量綱系數(shù)對目前廣泛使用的白金漢公式進(jìn)行修正得到，修正系數(shù)與管道直徑和滑移層黏度正相關(guān)，與滑移層厚度和膏體黏度負(fù)相關(guān)。工業(yè)環(huán)管試驗結(jié)果表明，白金漢公式的壓降預(yù)測值比實測值平均大36.6%，壁面滑移減阻模型的壓降預(yù)測值比實測值平均大14.4%，壁面滑移減阻模型預(yù)測結(jié)果偏保守的原因是未考慮膏體觸變性的影響。
關(guān)鍵字: 全尾砂膏體；管道阻力；柱塞流動；壁面滑移；H-B流變模型
（1. School of Civil and Resource Engineering, University of Science and Technology Beijing, Beijing 100083, China;
2. Key Laboratory of High-Efficient Mining and Safety of Metal, Ministry of Education, University of Science and Technology Beijing, Beijing 100083, China）
Abstract:To quantitatively characterize the drag reduction effect of the wall slip effect during pipeline transportation of full tailings paste, a pipe resistance formula considering the wall slip effect is derived, based on the paste plug flow model and the H-B rheological model. The slip layer thickness can be calculated according to the average tailings particle size, the volume concentration and ultimate volume concentration of paste. When the H-B rheological model is degenerated into the Bingham rheological model, the pipe resistance formula considering the wall slip effect is composed of the widely used Buckingham formula and a dimensionless coefficient less than 1. The correction coefficient is positively with the pipeline diameter and the viscosity of the slip layer, while negatively with the thickness of the slip layer and paste viscosity. The results of industrial loop test show that the predicted pressure drop by the Buckingham formula is 36.6% larger than the measured value, and the predicted pressure drop by the wall slip drag reduction model is 14.4% larger than the measured value. The wall slip drag reduction model is conservative than the measured value, because the influence of paste thixotropy is not considered.
Key words: full tailings paste; pipeline resistance; plug flow; wall slip; H-B rheological model
