Modeling of the Laminar Flow in the Entrance Region of Tubes and Ducts and its Impact on the Residence Time Distribution

被引:3
作者
Ham, Jong-Ho [1 ]
Lohse, Rolf [1 ]
Platzer, Bernd [1 ]
机构
[1] TU Chemnitz, Fak Maschinenbau, D-09107 Chemnitz, Germany
关键词
Duct flow; Entrance region; Residence time distribution; Tube flow; Velocity distribution; SEMIEMPIRICAL EQUATIONS; DISPERSE SYSTEMS; PIPE; CHANNEL; FLUIDS; PHASE;
D O I
10.1002/cite.201100004
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
A one-range and a two-range model for the laminar velocity distribution in the entrance region of tubes and ducts are presented. These allow the calculation of the residence time distribution under the impact of the flow development in the hydrodynamic entrance region. For the dispersion-free case, an analytical solution is given. A cell model with place-changing probability (ZEMP) is applied for the consideration of dispersion. This approach allows the fast quantification of the influence of different parameters on the residence time distribution for relatively short pipes and ducts. The numerical results are compared with earlier presented results of semi-empirical models.
引用
收藏
页码:1245 / 1255
页数:11
相关论文
共 24 条
[11]  
HUTTER K, 2003, FLUID THERMODYNAMIK, P104
[12]  
JISCHA M, 1982, KONVEKTIVER IMPULS W, P84
[13]  
Latzko H, 1921, Z ANGEW MATH MECH, V1, P268
[14]  
NIKURADSE J, 1932, FORSCHUNGSARBEITEN I, P1
[15]   Possible approaches to the prediction of residence time distributions [J].
Platzer, B ;
Steffani, K ;
Grobe, S .
CHEMIE INGENIEUR TECHNIK, 1999, 71 (08) :795-807
[16]   HYDRODYNAMIC DEVELOPMENT IN A DUCT WITH SUCTION AND BLOWING [J].
RAITHBY, GD ;
KNUDSEN, DC .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1974, 41 (04) :896-902
[17]  
SCHILLER L, 1922, FORSCH GEB INGENIEUR, P1
[18]  
SCHLICHTING H, 1934, Z ANGEWANDTE MATHEMA, V14, P368
[19]  
SHAH VL, 1974, COMPUT FLUIDS, P285
[20]   FLOW DEVELOPMENT IN THE HYDRODYNAMIC ENTRANCE REGION OF TUBES AND DUCTS [J].
SPARROW, EM ;
LIN, SH ;
LUNDGREN, TS .
PHYSICS OF FLUIDS, 1964, 7 (03) :338-347