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血液栓塞作为心血管疾病的一大诱因, 其形成机理及外部因素一直是医学、生物物理等领域专家关心的问题. 血栓的形成及其结构复杂多样, 大大增加了治愈血栓的难度. 脉动对于疏通血液栓塞有良好的作用, 而由于血液的黏滞作用以及红细胞的惯性, 脉动流的波形、振幅和频率都会影响通栓的效果. 本文主要基于晶格玻尔兹曼方法, 在栓塞的锥形管中, 用三角波脉动流进行通栓计算, 探索三角波脉动流的波形、压差、频率对血管通栓效果的影响. 计算发现, 低频低压条件下三角波脉动流通栓效果不明显, 而高频条件下通栓效果良好; 适当增加压差, 可以提高能通栓的三角波脉动流的频率.As one of the major causes of cardiovascular diseases, the formation mechanism and the external factors of blood embolism are always the concerned problems of medical field, biological and physical field. Owing to thrombotic formation and structure being complicated, the difficulty in curing thrombosis greatly increases. Pulsation flows have a positive effect on dredging blood embolism. Owing to the blood viscosity and the inertia of red blood cells, waveform, amplitude and frequency of pulsating flow will influence the effect of dredging blood embolism. The research in this paper is mainly based on the lattice Boltzmann method. In conical pipe with embolism, in order to explore the influences of triangle wave pulsating flow waveform, the effects of differential pressure and frequency on vascular thrombus are studied by calculating the effect of dredging blood embolism. Calculation shows that the effect of dredging blood embolism is not obvious under the condition of low frequency and low differential pressure. On the contrary, the effect is good under the condition of high frequency. Appropriately increasing the differential pressure can also improve the frequency of the triangular wave of the bolt.
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Keywords:
- lattice Boltzmann method /
- triangular pulsation /
- conical tube /
- dredge thrombosis
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[16] Qian Y H, d'Humieres D, Lallemand P 1992 J. Europhys. Lett. 17 479
[17] Chen S Y, Doolen G D 1998 Ann. Rev. Fluid Mech. 30 329
[18] Chen S, Dawson S P, Doolen G D, Janecky D R, Lawniczak A 1995 Comput. Chem. Eng. 19 617
[19] Bettaibi S, Sediki E, Kuznik F, Succi S 2015 Commun. Theor. Phys. 63 91
[20] Li H B 2004 Ph. D. Dissertation (Shanghai: Fudan University) (in Chinese) [李华兵 2004 博士学位论文 (上海: 复旦大学)]
[21] Chen H D, Chen S Y 1992 Phys. Rev. A 45 R5339
[22] Zou Q, He X 1997 Phys. Fluids 9 1591
[23] Mei R W, Luo L S, Shyy W 1999 J. Comput. Phys. 155 307
[24] Wen B H, Li H B, Zhang C Y, Fang H P 2012 Phys. Rev. E 85 016704
[25] Jayaweera K O L F, Mason B J, Slack G W 1964 J. Fluid Mech. 20 121
[26] Israelachvili J N 1985 Intramolecular and Surface Forces (New York: Academic Press)
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[1] Sagesaka T 2004 Clin. Hemorheol. Microcirc. 31 243
[2] Mori D, Yano K, Tsubota K, Ishikawa T, Wada S, Yamaguchi 2008 Thromb. Res. 123 114
[3] Luo Q, Jin H, Tan X R 2008 Chin. J. Cardiovasc. Rehabil. Med. 17 83 (in Chinese) [罗琼, 金红, 谭学瑞 2008心血管康复医学杂 17 83]
[4] Keam S J, Goa K L 2002 Drugs 62 1673
[5] Petitou M, Duchaussoy P, Herbert J M, Duc G, El Hajji M, Branellec J F, Donat F, Necciari J, Cariou R, Bouthier J, Garrigou E 2002 Semin. Thromb. Hemost. 28 393
[6] He X H, Teng L R, Meng Q F, Liu L Y 2005 Chin. Pharm. J. 140 248 (in Chinese) [何晓红, 滕利荣, 孟庆繁, 刘兰英 2005 中国药学杂志 140 248]
[7] Chandler A B 1958 Lab. Invest. 7 110
[8] Wu W Y, Qian M Q, Wen G B 1981 Appl. Math. Mech. 2 441 (in Chinese) [吴望一, 钱民全, 温功碧 1981 应用数学和力学 2 441]
[9] Mittal R, Simmons S P, Udaykumar H S 2001 J. Biomech. Eng. 123 325
[10] Fang H P, Wang Z W, Lin Z F, Liu M R 2002 Phys. Rev. E 65 051925
[11] Li H B, Lu X Y, Fang H P, Qian Y H 2004 Phys. Rev. E 70 026701
[12] Qiu L, Cen R J 2004 J. Med. Biomech. 19 748 (in Chinese) [邱霖, 岑人经 2004 医用生物力学 19 748]
[13] Deng Z C, You Y 2006 J. Zhengzhou Univ. (Eng. Sci.) 27 71 (in Chinese) [邓子辰, 尤莹 2006郑州大学学报(工学版) 27 71]
[14] Zhou J Y, Shi J, Chen J M, Li H B 2014 Acta Phys. Sin. 63 194701 (in Chinese) [周锦阳, 施娟, 陈佳民, 李华兵 2014 63 194701]
[15] Chen J M, Jiang Y H, Shi J, Zhou J Y, Li H B 2015 Acta Phys. Sin. 64 144701 (in Chinese) [陈佳民, 蒋燕华, 施娟, 周锦阳, 李华兵 2015 64 144701]
[16] Qian Y H, d'Humieres D, Lallemand P 1992 J. Europhys. Lett. 17 479
[17] Chen S Y, Doolen G D 1998 Ann. Rev. Fluid Mech. 30 329
[18] Chen S, Dawson S P, Doolen G D, Janecky D R, Lawniczak A 1995 Comput. Chem. Eng. 19 617
[19] Bettaibi S, Sediki E, Kuznik F, Succi S 2015 Commun. Theor. Phys. 63 91
[20] Li H B 2004 Ph. D. Dissertation (Shanghai: Fudan University) (in Chinese) [李华兵 2004 博士学位论文 (上海: 复旦大学)]
[21] Chen H D, Chen S Y 1992 Phys. Rev. A 45 R5339
[22] Zou Q, He X 1997 Phys. Fluids 9 1591
[23] Mei R W, Luo L S, Shyy W 1999 J. Comput. Phys. 155 307
[24] Wen B H, Li H B, Zhang C Y, Fang H P 2012 Phys. Rev. E 85 016704
[25] Jayaweera K O L F, Mason B J, Slack G W 1964 J. Fluid Mech. 20 121
[26] Israelachvili J N 1985 Intramolecular and Surface Forces (New York: Academic Press)
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