묽은 고분자 용액의 거동에 대한 Hydrodynamic Interaction의 영향

윤석현; 안경현; 이승종

Korean Journal of Rheology, Vol.4, No.2, 127-137, December, 1992

Export Citation

묽은 고분자 용액의 거동에 대한 Hydrodynamic Interaction의 영향

The Effect of Hydrodynamic Interaction on the Dynamics of Dilute Polymer Solution

윤석현, 안경현, 이승종

초록

묽은 고분자 용액의 유변학적 거동을 elastic dumbbell 모델을 사용하여 연구하면서 hydrodynamic interaction(H.I.) 효과를 주로 살펴보았다. 먼저, consistent averaging 방법을 사용하면서, Oseen tensor와 Rotne-Prager-Yama-kawa(R-P-Y) tensor를 H.I. tensor로 각각 사용하여 그 차이를 비교하였으며, Oseen tensor를 사용하뜬 경우, ttinger의 알고리듬과 Ahn과 Lee의 알고리듬을 비교하였다. 또 H.I. tensor를 처리하는 방법으로 consistent averaging 방법과 Gaussian approximation 방법의 차이에 대하여도 샅펴보았다. Ahn과 Lee의 알고리듬이 ttinger의 알고리듬보다 훨씬 빠른 계산시간을 보여주었으며, Gaussian approximation방법을 사용하는 경우 consistent averaging 방법과 달리 second normal stress coefficient가 음의 값을 보이므로 더 합리적인 방법으로 생각된다.

Hydrodynamic interaction (H.I.) effects in the dynamics of dilute polymer solutions were investigated using an elastic dumbbell model. Model predictions obtained by the consistent averaging method were compared in the cases of using Oseen tensor and Rotne-Prager-Yamakawa (R-P-Y) tensor as H.I. tensor, and the Ahn and Lee's algorithm was compared to the ttinger's algorithm in the case of using Oseen tensor. The consistent averaging method and Gaussian approximation were compared to show that Gaussian approximation method were reasonable in predicting the negative second normal stress coefficient.

[References]

Kirkwood JG, Riseman J, J. Chem. Phys., 16, 565 (1948)
Rotne J, Prager S, J. Chem. Phys., 50, 4831 (1969)
Yamakawa H, J. Chem. Phys., 50, 436 (1970)
Zimm BH, J. Chem. Phys., 24, 269 (1956)
Ottinger HC, J. Chem. Phys., 83, 6535 (1985)
Ottinger HC, J. Chem. Phys., 84, 4068 (1986)
Ottinger HC, J. Chem. Phys., 85, 1667 (1986)
Ottinger HC, J. Chem. Phys., 87, 6185 (1987)
Fixman M, J. Chem. Phys., 45, 785 (1966)
Fixman M, J. Chem. Phys., 45, 793 (1966)
Ahn KH, Lee SJ, J. Non-Newton. Fluid Mech., 43, 143 (1992)
deHaro ML, Rubi JM, J. Chem. Phys., 88, 1248 (1988)
Wedgewood LE, J. Non-Newton. Fluid Mech., 31, 127 (1989)
Zylka W, Ottinger HC, J. Chem. Phys., 90, 474 (1989)
Fixman M, J. Chem. Phys., 42, 3831 (1965)
Pyun CW, Fixman M, J. Chem. Phys., 44, 2107 (1966)
Ottinger HC, J. Non-Newton. Fluid Mech., 26, 207 (1987)
Carlson BC, Numer. Math., 33, 1 (1979)

[Referenced By]

[1] Kirkwood JG, Riseman J, J. Chem. Phys., 16, 565 (1948)

[2] Rotne J, Prager S, J. Chem. Phys., 50, 4831 (1969)

[3] Yamakawa H, J. Chem. Phys., 50, 436 (1970)

[4] Zimm BH, J. Chem. Phys., 24, 269 (1956)

[5] Ottinger HC, J. Chem. Phys., 83, 6535 (1985)

[6] Ottinger HC, J. Chem. Phys., 84, 4068 (1986)

[7] Ottinger HC, J. Chem. Phys., 85, 1667 (1986)

[8] Ottinger HC, J. Chem. Phys., 87, 6185 (1987)

[9] Fixman M, J. Chem. Phys., 45, 785 (1966)

[10] Fixman M, J. Chem. Phys., 45, 793 (1966)

[11] Ahn KH, Lee SJ, J. Non-Newton. Fluid Mech., 43, 143 (1992)

[12] deHaro ML, Rubi JM, J. Chem. Phys., 88, 1248 (1988)

[13] Wedgewood LE, J. Non-Newton. Fluid Mech., 31, 127 (1989)

[14] Zylka W, Ottinger HC, J. Chem. Phys., 90, 474 (1989)

[15] Fixman M, J. Chem. Phys., 42, 3831 (1965)

[16] Pyun CW, Fixman M, J. Chem. Phys., 44, 2107 (1966)

[17] Ottinger HC, J. Non-Newton. Fluid Mech., 26, 207 (1987)

[18] Carlson BC, Numer. Math., 33, 1 (1979)