메뉴 건너뛰기




Volumn 467, Issue 2134, 2011, Pages 2810-2824

Approximation of potential-driven flow dynamics in large-scale self-similar tree networks

Author keywords

Branching; Dynamics; Flow; Network; Self similar; Tree

Indexed keywords

DYNAMIC ANALYSIS; DYNAMICS; MATHEMATICAL MODELS; NETWORKS (CIRCUITS); PLANT EXTRACTS;

EID: 80053921164     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2011.0113     Document Type: Article
Times cited : (17)

References (24)
  • 1
    • 1642536651 scopus 로고    scopus 로고
    • Fluid flow through microscale fractal-like branching channel networks
    • doi:10.1115/1.1625684
    • Alharbi, A., Pence, D. & Cullion, R. 2003 Fluid flow through microscale fractal-like branching channel networks. J. Fluids Eng. 125, 1051-1057. (doi:10.1115/1.1625684)
    • (2003) J. Fluids Eng. , vol.125 , pp. 1051-1057
    • Alharbi, A.1    Pence, D.2    Cullion, R.3
  • 3
    • 0037030143 scopus 로고    scopus 로고
    • Heat transfer and pressure drop in fractal tree-like microchannel nets
    • DOI 10.1016/S0017-9310(02)00013-3, PII S0017931002000133
    • Chen, Y. & Cheng, P. 2002 Heat transfer and pressure drop in fractal tree-like microchannel nets. Int. J. Heat Mass Transf. 45, 2643-2648. (doi:10.1016/S0017-9310 (02) 00013-3) (Pubitemid 34593181)
    • (2002) International Journal of Heat and Mass Transfer , vol.45 , Issue.13 , pp. 2643-2648
    • Chen, Y.1    Cheng, P.2
  • 6
    • 0030909412 scopus 로고    scopus 로고
    • Fractals in pathology
    • DOI 10.1002/(SICI)1096-9896(199705)182:1<1::AID-PATH808>3.0.CO;2-B
    • Cross, S. 1997 Fractals in pathology. J. Pathol. 182, 1-8. (doi:10.1002/(SICI) 1096-9896 (199705) 182:1<;1::AID-PATH808>3.0. CO;2-B) (Pubitemid 27240443)
    • (1997) Journal of Pathology , vol.182 , Issue.1 , pp. 1-8
    • Cross, S.S.1
  • 7
    • 0000794507 scopus 로고    scopus 로고
    • Constructal tree networks for the time-dependent discharge of a finite-size volume to one point
    • Dan, N. & Bejan, A. 1998 Constructal tree networks for the time-dependent discharge of a finite-size volume to one point. J. Appl. Phys. 84, 3042-3050. (doi:10.1063/1.368458) (Pubitemid 128580923)
    • (1998) Journal of Applied Physics , vol.84 , Issue.6 , pp. 3042-3050
    • Dan, N.1    Bejan, A.2
  • 8
    • 0037255939 scopus 로고    scopus 로고
    • A model for transport and dispersion in the circulatory system based on the vascular fractal tree
    • doi:10.1114/1. 1555627
    • Dokoumetzidis, A. & Macheras, P. 2003 A model for transport and dispersion in the circulatory system based on the vascular fractal tree. Ann. Biomed. Eng. 31, 284-293. (doi:10.1114/1. 1555627)
    • (2003) Ann. Biomed. Eng. , vol.31 , pp. 284-293
    • Dokoumetzidis, A.1    Macheras, P.2
  • 9
    • 58149396691 scopus 로고    scopus 로고
    • Efficiency of optimized bifurcating tree-like and parallel microchannel networks in the cooling of electronics
    • doi:10.1016/j.ijheatmasstransfer.2008.07.048
    • Escher, W., Michel, B. & Poulikakos, D. 2009 Efficiency of optimized bifurcating tree-like and parallel microchannel networks in the cooling of electronics. Int. J. Heat Mass Transf. 52, 1421-1430. (doi:10.1016/j. ijheatmasstransfer.2008.07.048)
    • (2009) Int. J. Heat Mass Transf. , vol.52 , pp. 1421-1430
    • Escher, W.1    Michel, B.2    Poulikakos, D.3
  • 11
    • 22344436478 scopus 로고    scopus 로고
    • Blood flow simulation through fractal models of circulatory system
    • DOI 10.1016/j.chaos.2005.02.009, PII S0960077905001827
    • Gabrys, E., Rybaczuk, M. & Kedzia, A. 2006 Blood flow simulation through fractal models of circulatory system. Chaos Solitons Fractals 27, 1-7. (doi:10.1016/j.chaos.2005.02.009) (Pubitemid 40999956)
    • (2006) Chaos, Solitons and Fractals , vol.27 , Issue.1 , pp. 1-7
    • Gabrys, E.1    Rybaczuk, M.2    Kedzia, A.3
  • 12
    • 25844520526 scopus 로고    scopus 로고
    • Order reduction of large scale DAE models
    • DOI 10.1016/j.compchemeng.2005.05.006, PII S009813540500147X
    • Hedengren, J. & Edgar, T. 2005 Order reduction of large scale DAE models. Comp. Chem. Eng. 29, 2069-2077. (doi:10.1016/j.compchemeng.2005.05.006) (Pubitemid 41393560)
    • (2005) Computers and Chemical Engineering , vol.29 , Issue.10 , pp. 2069-2077
    • Hedengren, J.D.1    Edgar, T.F.2
  • 13
    • 0001488637 scopus 로고
    • Fractal rheological models and fractional differential equations for viscoelastic behavior
    • doi:10.1007/BF00437306
    • Heymans, N. & Bauwens, J. 1994 Fractal rheological models and fractional differential equations for viscoelastic behavior. Rheol. Acta 33, 210-219. (doi:10.1007/BF00437306)
    • (1994) Rheol. Acta , vol.33 , pp. 210-219
    • Heymans, N.1    Bauwens, J.2
  • 14
    • 70350503592 scopus 로고    scopus 로고
    • Fractal ladder models and power law wave equations
    • doi:10.1121/1.3204304
    • Kelly, J. & McGough, R. 2009 Fractal ladder models and power law wave equations. J. Acoust. Soc. Am. 126, 2072-2081. (doi:10.1121/1.3204304)
    • (2009) J. Acoust. Soc. Am. , vol.126 , pp. 2072-2081
    • Kelly, J.1    McGough, R.2
  • 15
    • 4544298453 scopus 로고    scopus 로고
    • Fractal analysis of the vascular tree in the human retina
    • DOI 10.1146/annurev.bioeng.6.040803.140100
    • Masters, B. 2004 Fractal analysis of the vascular tree in the human retina. Annu. Rev. Biomed. Eng. 6, 427-452. (doi:10.1146/annurev. bioeng.6.040803.140100) (Pubitemid 39213987)
    • (2004) Annual Review of Biomedical Engineering , vol.6 , pp. 427-452
    • Masters, B.R.1
  • 16
    • 33744560877 scopus 로고
    • Infinite and polygonal capacitor networks: Comparison with analogous, Fibonacci sequence related, resistor networks
    • doi:10.1119/1.17776
    • Mavromatis, H. 1995 Infinite and polygonal capacitor networks: comparison with analogous, Fibonacci sequence related, resistor networks. Am. J. Phys. 63, 85-86. (doi:10.1119/1.17776)
    • (1995) Am. J. Phys. , vol.63 , pp. 85-86
    • Mavromatis, H.1
  • 19
    • 1242298753 scopus 로고    scopus 로고
    • Reduced pumping power and wall temperature in microchannel heat sinks with fractal branching channel networks
    • doi:10.1080/10893950290098359
    • Pence, D. 2002 Reduced pumping power and wall temperature in microchannel heat sinks with fractal branching channel networks. Microscale Thermophys. Eng. 6, 319-330. (doi:10.1080/10893950290098359)
    • (2002) Microscale Thermophys. Eng. , vol.6 , pp. 319-330
    • Pence, D.1
  • 20
    • 0038442019 scopus 로고
    • Fibonacci sequence, golden ratio, and a network of resistors
    • doi:10.1119/1.16849
    • Srinivasan, T. 1992 Fibonacci sequence, golden ratio, and a network of resistors. Am. J. Phys. 60, 461-462. (doi:10.1119/1.16849)
    • (1992) Am. J. Phys. , vol.60 , pp. 461-462
    • Srinivasan, T.1
  • 21
  • 22
    • 21444447684 scopus 로고    scopus 로고
    • Resistor networks and irrational numbers
    • Thompson, D. 1997 Resistor networks and irrational numbers. Am. J. Phys. 65, 88. (doi:10.1119/1.18499) (Pubitemid 127009275)
    • (1997) American Journal of Physics , vol.65 , Issue.1 , pp. 88
    • Thompson, D.1
  • 23
    • 33747878085 scopus 로고    scopus 로고
    • Thermal characteristics of tree-shaped microchannel nets for cooling of a rectangular heat sink
    • DOI 10.1016/j.ijthermalsci.2006.01.010, PII S1290072906000214
    • Wang, X., Mujumdar, A. & Yap, C. 2006 Thermal characteristics of tree-shaped microchannel nets for cooling of a rectangular heat sink. Int. J. Thermal Sci. 45, 1103-1112. (doi:10.1016/j.ijthermalsci.2006.01.010) (Pubitemid 44293447)
    • (2006) International Journal of Thermal Sciences , vol.45 , Issue.11 , pp. 1103-1112
    • Wang, X.-Q.1    Mujumdar, A.S.2    Yap, C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.