메뉴 건너뛰기




Volumn 22, Issue 5 SUPPL. 1, 2010, Pages 882-884

A short review on the homotopy analysis method in fluid mechanics

Author keywords

Homotopy analysis method; N S equation; Non similarity boundary layer flow; Nonlinear; Wave resonance

Indexed keywords

BOUNDARY LAYER FLOW; BOUNDARY LAYERS; FLUID MECHANICS; NAVIER STOKES EQUATIONS;

EID: 78449286810     PISSN: 10016058     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1001-6058(10)60046-7     Document Type: Conference Paper
Times cited : (22)

References (12)
  • 2
    • 0031232480 scopus 로고    scopus 로고
    • An approximate solution technique which does not depend upon small parameters (Part 2): An application in fluid mechanics, Int
    • SJ Liao An approximate solution technique which does not depend upon small parameters (Part 2): an application in fluid mechanics, Int J. Non-Linear Mech. 32 5 1997 815 822
    • (1997) J. Non-Linear Mech. , vol.32 , Issue.5 , pp. 815-822
    • Liao, S.J.1
  • 4
    • 34848900880 scopus 로고    scopus 로고
    • A general approach to obtain series solutions of nonlinear differential equation
    • SJ Liao, Y Tan A general approach to obtain series solutions of nonlinear differential equation Studies in Applied Mathematics 119 2007 297 354
    • (2007) Studies in Applied Mathematics , vol.119 , pp. 297-354
    • Liao, S.J.1    Tan, Y.2
  • 5
    • 55549136027 scopus 로고    scopus 로고
    • Notes on the homotopy analysis method: Some definitions and theorems
    • SJ Liao Notes on the homotopy analysis method: Some definitions and theorems Commun. Nonlinear Sci. Numer. Simulat. 14 2009 983 997
    • (2009) Commun. Nonlinear Sci. Numer. Simulat. , vol.14 , pp. 983-997
    • Liao, S.J.1
  • 6
    • 85196187892 scopus 로고    scopus 로고
    • An optimal homotopy-analysis approach for strongly nonlinear differential equations
    • online
    • Liao S J. An optimal homotopy-analysis approach for strongly nonlinear differential equations. Commun. Nonlinear Sci. Numer. Simulat., online.
    • Commun. Nonlinear Sci. Numer. Simulat.
    • Liao, S.J.1
  • 7
    • 0001987016 scopus 로고
    • Uueber Fluessigkeitsbewgungen bei sehr kleiner Reibung
    • Heidelberg
    • Prandtl L. Uueber Fluessigkeitsbewgungen bei sehr kleiner Reibung. Verhandlg. III. Int. Math. kongr. Heidelberg, 1904: 484-491.
    • (1904) Verhandlg. III. Int. Math. Kongr. , pp. 484-491
    • Prandtl, L.1
  • 8
    • 77952238651 scopus 로고    scopus 로고
    • Series solution of non-similarity boundary-layer flows over a porous wedge
    • (online)
    • Kousar N, Liao S J. Series solution of non-similarity boundary-layer flows over a porous wedge. Transp. Porous Med. (online).
    • Transp. Porous Med.
    • Kousar, N.1    Liao, S.J.2
  • 9
    • 79951953927 scopus 로고    scopus 로고
    • Homotopy-based solutions of the Navier-Stokes equations for a porous channel with orthogonally moving walls
    • (online)
    • Hang X, Lin Z L, Liao S J, et al. Homotopy-based solutions of the Navier-Stokes equations for a porous channel with orthogonally moving walls. Physics of Fluids (online).
    • Physics of Fluids
    • Hang, X.1    Lin, Z.L.2    Liao, S.J.3
  • 10
    • 67349086266 scopus 로고    scopus 로고
    • On the interaction of deep water waves and exponential shear currents
    • J Cheng, J Cang, SJ Liao On the interaction of deep water waves and exponential shear currents Z. angew. Math. Phys. 60 2009 450 478
    • (2009) Z. Angew. Math. Phys. , vol.60 , pp. 450-478
    • Cheng, J.1    Cang, J.2    Liao, S.J.3
  • 11
    • 84974098014 scopus 로고
    • On the dynamics of unsteady gravity waves of finite amplitude. Part 1: The elementary interactions
    • OM Phillips On the dynamics of unsteady gravity waves of finite amplitude. Part 1: The elementary interactions J. Fluid Mech. 9 1960 193 217
    • (1960) J. Fluid Mech. , vol.9 , pp. 193-217
    • Phillips, O.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.