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MOLECULAR MODEL AND FLOW CALCULATION:Ⅰ.THE NUMERICAL SOLUTIONS TO MULTIBEAD-ROD MODELS INHOMOGENEOUS FLOWS 被引量:1

MOLECULAR MODEL AND FLOW CALCULATION:Ⅰ.THE NUMERICAL SOLUTIONS TO MULTIBEAD-ROD MODELS INHOMOGENEOUS FLOWS
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摘要 The Galerkin method is used to solve the diffusion equation of the distribution function in configurational space for a multibead-rod model,and the dimensionless components of the extra stress tensor are then calculated by means of the expression of ensemble average.The material functions for steady-state shear flow and uniaxial flow and the mechanical properties of rigid-rodlike molecule suspen- sions in superposed flows are obtained numerically.The results indicate that it is promising to employ the mu ltibead-rod models without the constitutive equation in numerical simulations of flows of suspensions. The Galerkin method is used to solve the diffusion equation of the distribution function in configurational space for a multibead-rod model,and the dimensionless components of the extra stress tensor are then calculated by means of the expression of ensemble average.The material functions for steady-state shear flow and uniaxial flow and the mechanical properties of rigid-rodlike molecule suspen- sions in superposed flows are obtained numerically.The results indicate that it is promising to employ the mu ltibead-rod models without the constitutive equation in numerical simulations of flows of suspensions.
出处 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 1989年第1期49-59,共11页 力学学报(英文版)
基金 The project supported by the National Natural Science Fundation of China.
关键词 molecular model SUSPENSION homogeneous flow Galerkin method molecular model suspension homogeneous flow Galerkin method
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  • 1N. Phan-Thien.Squeezing of an Oldroyd-B fluid from a tube: Limiting Weissenberg number[J]. Rheologica Acta . 1985 (1)
  • 2Kamal NR,Ryan ME. Proc.Ⅸ-th Intl.Congress on Rheology . 1984
  • 3Crochet MJ. J.Non Newtonian Fluid Mech . 1986
  • 4Phan-Thien N,Goh CA,Atkinson JD. Journal of Non Newtonian Fluid Mechanics . 1985
  • 5Wu JH,Han QS.Theory of Computational Fluid Mechanics and Its Applications. . 1986
  • 6The Journal of Chemical Physics . 1986
  • 7Fan XJ. Journal of Non Newtonian Fluid Mechanics . 1985
  • 8Bush,MB,Tanner,RI. Intl J. Numerical Methods in Fluids . 1983
  • 9Bush M B,Thien N P.Three-dimensional viscous flows with a free surface: flow out of a long square die. Journal of Non Newtonian Fluid Mechanics . 1985
  • 10Crochet M J,Davies A R,Walters K.Numerical Simulation of Non-Newtonian Flow. Elsevier Oceanography Series . 1984

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