啮合同向双螺杆挤出机螺纹元件流场分析
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摘要
本文对啮合同向双螺杆挤出机螺纹流道中熔体全充满区的流动进行了全三维非牛顿等温模拟。由双螺杆几何学建立了螺杆的数学模型，并根据挤出机的实际几何尺寸对模型进行修正，所建立的模型与挤出机的实际尺寸一致。对于速度边界，采用无滑移边界条件，与机筒粘结的物料速度为零，与螺杆粘结的物料速度等于螺杆表面速度。对于流道进出口，采用压力边界条件。应用ANSYS软件进行有限元求解，得到螺纹流道的速度场、压力场、粘度场。通过计算得到的粘度场，由物料的本构方程反推出流道中的剪切速率场和剪切应力场。
本文给出了计算拉伸速率、剪切速率和剪切应力的具体方法，并编制后处理程序对上述量进行计算。提出了一个关于流量、回流量计算方法，该方法简单，易于理解和计算。
为了能充分解释挤出特性与各参数之间的关系，本文采用对离散数据结果进行统计和作图相结合的方式分析了螺杆转速、进出口压力差、机筒与螺杆间隙、螺距、无量纲槽深以及物料特性参数对流量、回流量、剪切速率、拉伸速率、剪切应力、平均剪切强度等挤出特性的影响。
This thesis is concerned with three-dimensional non-Newtonian isothermal flow simulation of melts in full filling region of the flight element runner belonging to intermeshing co-rotating twin screw extruder. The math models of the screw were established based on twin-screw geometry.
In order to possess the models the same dimension with the co-rotating twin screw extruder, the math models of the screw curve based on actual geometry dimension of the twin screw extruder have been developed. And meanwhile, a condition of boundary with non-slip is supposed for the velocity boundary. The mass velocity is restricted to ‘zero’ as the materials adhere to the barrel wall, and it is equal to the surface velocity of the twin screw while the materials adhere to the twin screw’s surface. Pressure boundary conditions are chosen for the inflow section and outflow section of the twin screw extruder. ANSYS, the software involves with finite element method, was adopted for solving the flow models and gaining results of the velocity flied, pressure filed, and viscosity field.
Through deduction to the constitutional equation of viscosity, field and shear stress field of the runner were achieved. An idiographic measure was brought forward, as well as some compiled post processor programs were used to closely calculate elongation rate, shear rate and shear stress. A measure, in connection with flow and circulatory flow, which is simple to compute with and easy to comprehend, was adopted in this thesis.
In order to fully explain the relationship between extrusion characteristics and analytical parameters, the method of connecting figure with table was chosen in this thesis. Analytical parameters including screw rotate speed, press difference between inflow section and outflow section, clearance between barrel wall and screw surface, mass peculiarity and non-dimensional depth of screw groove, etc, were carefully analyzed. The effect on the extrusion characteristics such as flow, circulatory flow, elongation rate, shear rate, shear stress and mean shearing intensity, etc, caused by the
parameters mentioned above was analyzed, too.
本文给出了计算拉伸速率、剪切速率和剪切应力的具体方法，并编制后处理程序对上述量进行计算。提出了一个关于流量、回流量计算方法，该方法简单，易于理解和计算。
为了能充分解释挤出特性与各参数之间的关系，本文采用对离散数据结果进行统计和作图相结合的方式分析了螺杆转速、进出口压力差、机筒与螺杆间隙、螺距、无量纲槽深以及物料特性参数对流量、回流量、剪切速率、拉伸速率、剪切应力、平均剪切强度等挤出特性的影响。
This thesis is concerned with three-dimensional non-Newtonian isothermal flow simulation of melts in full filling region of the flight element runner belonging to intermeshing co-rotating twin screw extruder. The math models of the screw were established based on twin-screw geometry.
In order to possess the models the same dimension with the co-rotating twin screw extruder, the math models of the screw curve based on actual geometry dimension of the twin screw extruder have been developed. And meanwhile, a condition of boundary with non-slip is supposed for the velocity boundary. The mass velocity is restricted to ‘zero’ as the materials adhere to the barrel wall, and it is equal to the surface velocity of the twin screw while the materials adhere to the twin screw’s surface. Pressure boundary conditions are chosen for the inflow section and outflow section of the twin screw extruder. ANSYS, the software involves with finite element method, was adopted for solving the flow models and gaining results of the velocity flied, pressure filed, and viscosity field.
Through deduction to the constitutional equation of viscosity, field and shear stress field of the runner were achieved. An idiographic measure was brought forward, as well as some compiled post processor programs were used to closely calculate elongation rate, shear rate and shear stress. A measure, in connection with flow and circulatory flow, which is simple to compute with and easy to comprehend, was adopted in this thesis.
In order to fully explain the relationship between extrusion characteristics and analytical parameters, the method of connecting figure with table was chosen in this thesis. Analytical parameters including screw rotate speed, press difference between inflow section and outflow section, clearance between barrel wall and screw surface, mass peculiarity and non-dimensional depth of screw groove, etc, were carefully analyzed. The effect on the extrusion characteristics such as flow, circulatory flow, elongation rate, shear rate, shear stress and mean shearing intensity, etc, caused by the
parameters mentioned above was analyzed, too.
引文
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耿孝正.双螺杆挤出机及其应用.北京:中国轻工业出版社,2003:30-32 94-96 14-15
刘光知,张宏革.同向双螺杆技术在塑料工业中的发展与应用.现代塑料加工应用, 2002,(4):41-44
陈晋南,胡冬冬,彭炯.计算流体动力学(CFD)及其软件包在双螺杆挤出中的应用. 中国塑料,2001,(12):13-16
H.Hermann and U.Burkart.Comparative Function Analysis of Closely Intermeshing Co-rotating and Counter-Rotating Twin-Screws.German Plastics,1978,(1):12-16
K.Eise,S.Jakopin,H.Hermann.Analysis of Twin Screw Extruder Mechanisms. Advances in Plastics Technology,1981,(4):18-39
M.L.Booy. Isothermal Flow of Viscous Liquids in Co-rotating Twin Screw Extruder. Polymer Engineering and Science,1980,20 (18):1220-1228
C.D.Denson,B.K.Hwang, Influence of The Axial Pressure Grasient on Flow Rate for Newtonian Liquids in A Self Wiping Co-rotating Twin Screrw Extruder. Polymer Engineering and Science, 1980, (9):965-971
W.Szydlowski and J.L.White, Non-Newtonian Model of Flow in A Kseading Disk Region of A Modular Intermeshing Co-rotating Twin Screw Extruder.Journal of Non-Newtonian Fluid Mechanics,1988,(5):29-46
Yeh Wang and J.L.White. Non-Newtonian flow modelling in the screw regions of an intermeshing corotating twin screw extruder Journal of Non-Newtonian Fluid Mechanics, 1989(5):19-38
Lai Fook RA,Li Y,Smith AC.A 2D numerical study of intermeshingself-wipping screws in biopolymer extrusion. Polymer Engineering and Science, 1991,31(15):1157-1163
Adeniyi,Lawal,Dilhan M. Computational study of chaotic mixing in co-rotating two-tipped kneading paddles: Two-dimensional approach.Polymer Engineering and Science, 1993,
(2):140-148
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D.J.Wal,D.Goffart,E.M.Klomp.Three-dimensional flow modeling of a self-wiping corotating twin-screw extruder. Part II: the kneading section.Polymer Engineering and Science,1996,(4):912-924
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Bravo V.L.,Hrymak,Hrymak A.N.,et.Numerical simulation of pressure and velocity profiles in kneading elements of a co-rotating twin screw extruder.Polymer Engineering and Science,2000,(2):525-541.
Cheng-Hongfei, Manas-Zloczower.Distributive mixing in conveying elements of a ZSK-53 co-rotating twin screw extruder. Polymer Engineering and Science,1998,(6):926-935
李鹏,耿孝正. 同向啮合双螺杆挤出机捏合块流道三维流场分析.中国塑料,2000,(3):75-82.
李鹏,耿孝正,马秀清.啮合同向双螺杆挤出机螺纹元件三维流场分析.中国塑料,2001,(6):73-77
李鹏,耿孝正,马秀清. 啮合同向双螺杆挤出过程组合流道(捏合块+螺纹元件)三维流场分析.中国塑料,2001,(7):66-70
马秀清,耿孝正,李鹏. 非啮合双螺杆挤出过程常规螺纹元件流道三维流场分析—等温牛顿模型.中国塑料,2000,(10):78-85
马秀清,耿孝正. 非啮合双螺杆挤出过程轴向循环流道三维流场分析—轴向循环流场分析(I).中国塑料,2001, (2):77-83
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Ishikawa,Takeshi,Funatsu,et.3-D numerical simulations of nonisothermal flow in co-rotating twin screw extruders. Polymer Engineering and Science, 2000,(2)357-364
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刘慧.啮合同向双螺杆挤出机几何学的研究. 河北轻化工学院学报,1997,(3):24-27
丁伟.全啮合双螺杆断面曲线几何形状的确定. 鞍山钢铁学院学报,1999,(2):24-27
孙凤萍.同向平行双螺杆挤出机螺纹元件的齿形计算探讨.橡塑技术与装备,2003,(4):6-8
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郭奕崇.同向双螺杆几何设计计算软件原理及功能分析.塑料工业,2003,(1):16-19
郭奕崇.同向双螺杆几何设计计算软件的应用.塑料,2003,(2):48-52
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王建华,吴大鸣,许红,等. 单螺杆挤出过程的数值模拟.塑料工业, 2002,(3):34-37
朱复华.挤出理论及应用.北京:中国轻工业出版社,2001:6-8 24-25 148-150
耿孝正.双螺杆挤出机及其应用.北京:中国轻工业出版社,2003:30-32 94-96 14-15
刘光知,张宏革.同向双螺杆技术在塑料工业中的发展与应用.现代塑料加工应用, 2002,(4):41-44
陈晋南,胡冬冬,彭炯.计算流体动力学(CFD)及其软件包在双螺杆挤出中的应用. 中国塑料,2001,(12):13-16
H.Hermann and U.Burkart.Comparative Function Analysis of Closely Intermeshing Co-rotating and Counter-Rotating Twin-Screws.German Plastics,1978,(1):12-16
K.Eise,S.Jakopin,H.Hermann.Analysis of Twin Screw Extruder Mechanisms. Advances in Plastics Technology,1981,(4):18-39
M.L.Booy. Isothermal Flow of Viscous Liquids in Co-rotating Twin Screw Extruder. Polymer Engineering and Science,1980,20 (18):1220-1228
C.D.Denson,B.K.Hwang, Influence of The Axial Pressure Grasient on Flow Rate for Newtonian Liquids in A Self Wiping Co-rotating Twin Screrw Extruder. Polymer Engineering and Science, 1980, (9):965-971
W.Szydlowski and J.L.White, Non-Newtonian Model of Flow in A Kseading Disk Region of A Modular Intermeshing Co-rotating Twin Screw Extruder.Journal of Non-Newtonian Fluid Mechanics,1988,(5):29-46
Yeh Wang and J.L.White. Non-Newtonian flow modelling in the screw regions of an intermeshing corotating twin screw extruder Journal of Non-Newtonian Fluid Mechanics, 1989(5):19-38
Lai Fook RA,Li Y,Smith AC.A 2D numerical study of intermeshingself-wipping screws in biopolymer extrusion. Polymer Engineering and Science, 1991,31(15):1157-1163
Adeniyi,Lawal,Dilhan M. Computational study of chaotic mixing in co-rotating two-tipped kneading paddles: Two-dimensional approach.Polymer Engineering and Science, 1993,
(2):140-148
柳和生.啮合型同向旋转双螺杆挤塑机熔体输送机理研究.中国塑料,1994,(3):51-59
Chiruvella,Raman V.,Jaluria,Y.Transport in a twin-screw extruder for the processing of polymers.Polymer Engineering and Science,1996, (1):1531-1540
D.J.Wal,D.Goffart,E.M.Klomp.Three-dimensional flow modeling of a self-wiping corotating twin-screw extruder. Part 1: the transporting section.Polymer Engineering and Science, 1996, (4): 901-911
D.J.Wal,D.Goffart,E.M.Klomp.Three-dimensional flow modeling of a self-wiping corotating twin-screw extruder. Part II: the kneading section.Polymer Engineering and Science,1996,(4):912-924
Kajiwara,Toshihisa,Nagashima,et.Numerical study of twin-screw extruders by three-dimensional flow analysis - development of analysis technique and evaluation of mixing performance for full flight screws. Polymer Engineering and Science, 1996,(8):2142-2152H.YANG,Manas-Zloczower, 3d Flow field analysis of a Banbury mixer. Proceedings of the International Congress on Rheology, 1992(8):408
Bravo V.L.,Hrymak,Hrymak A.N.,et.Numerical simulation of pressure and velocity profiles in kneading elements of a co-rotating twin screw extruder.Polymer Engineering and Science,2000,(2):525-541.
Cheng-Hongfei, Manas-Zloczower.Distributive mixing in conveying elements of a ZSK-53 co-rotating twin screw extruder. Polymer Engineering and Science,1998,(6):926-935
李鹏,耿孝正. 同向啮合双螺杆挤出机捏合块流道三维流场分析.中国塑料,2000,(3):75-82.
李鹏,耿孝正,马秀清.啮合同向双螺杆挤出机螺纹元件三维流场分析.中国塑料,2001,(6):73-77
李鹏,耿孝正,马秀清. 啮合同向双螺杆挤出过程组合流道(捏合块+螺纹元件)三维流场分析.中国塑料,2001,(7):66-70
马秀清,耿孝正,李鹏. 非啮合双螺杆挤出过程常规螺纹元件流道三维流场分析—等温牛顿模型.中国塑料,2000,(10):78-85
马秀清,耿孝正. 非啮合双螺杆挤出过程轴向循环流道三维流场分析—轴向循环流场分析(I).中国塑料,2001, (2):77-83
马秀清,耿孝正. 啮合同向双螺杆挤出过程轴向循环流道三维流场分析—轴向循环流场
分析(Ⅱ).中国塑料,2001,(3):83-91
陈士宏,马秀清,耿孝正. 啮合同向双螺杆挤出过程非啮合开槽螺纹元件组合流道三维流场分析.中国塑料,2002,(10):79-83
Ishikawa,Takeshi,Funatsu,et.3-D numerical simulations of nonisothermal flow in co-rotating twin screw extruders. Polymer Engineering and Science, 2000,(2)357-364
Ishikawa,Takeshi,Amaiwa,et.Numerical simulation and experimental verification of nonisothermal flow in counter-rotating nonintermeshing continuous mixers. Polymer Engineering and Science,2000,(2): 365-375
Rauwendaal,Chris.Geometry of self-cleaning twin-screw extruders.Advances in Polymer Technology,1996, Vol.15, No.2,(Summer):127-133
刘慧.啮合同向双螺杆挤出机几何学的研究. 河北轻化工学院学报,1997,(3):24-27
丁伟.全啮合双螺杆断面曲线几何形状的确定. 鞍山钢铁学院学报,1999,(2):24-27
孙凤萍.同向平行双螺杆挤出机螺纹元件的齿形计算探讨.橡塑技术与装备,2003,(4):6-8
王丽,江波.双螺杆三维实体造型的研究. 塑料工业,1999,(1):19-21
王玉铃.双螺杆动态啮合仿真的研究.机械工艺师,2000,(10):20-21
郭奕崇.同向双螺杆几何设计计算软件原理及功能分析.塑料工业,2003,(1):16-19
郭奕崇.同向双螺杆几何设计计算软件的应用.塑料,2003,(2):48-52
M.L.Booy.GEOMETRY OF FULLY WIPED TWIN-SCREW EQUIPMENT. Polymer Engineering and Science,1978,(9): 973-984
雷焱,姜南,朱复华,等.计算机辅助技术对同向双螺杆螺纹曲线修正的简化.中国塑 料,2000(11):90-94
黄卫星,陈文梅.工程流体力学.北京:化学工业出版社,2001:10-12;96-108
李鹏.捏合同向双螺杆挤出机啮合块流道流场分析.北京化工大学硕士论文,2000(4):23-87
曹春阳,柳和生.啮合同向双螺杆排气段熔体输送流场及充满系数的数值模拟.塑料科技,1999,(3):34-37
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