메뉴 건너뛰기




Volumn 39, Issue 7, 2010, Pages 1219-1225

A new spectral-homotopy analysis method for the MHD Jeffery-Hamel problem

Author keywords

Jeffery Hamel flow; Magnetohydrodynamics; Nonlinear equations; Spectral homotopy analysis method

Indexed keywords

ANALYTICAL SOLUTIONS; HOMOTOPY ANALYSIS; HOMOTOPY ANALYSIS METHODS; HYBRID METHOD; JEFFERY-HAMEL FLOW; NUMERICAL RESULTS;

EID: 77952471075     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2010.03.004     Document Type: Article
Times cited : (137)

References (24)
  • 1
    • 77952521953 scopus 로고
    • The magnetohydrodynamic Jeffery-Hamel problem for a weakly conducting fluid
    • Axford W.I. The magnetohydrodynamic Jeffery-Hamel problem for a weakly conducting fluid. Q J Mech Appl Math 1961, 14:335-351.
    • (1961) Q J Mech Appl Math , vol.14 , pp. 335-351
    • Axford, W.I.1
  • 3
    • 41949100052 scopus 로고    scopus 로고
    • An approximation of the analytical solution of the Jeffery-Hamel flow by decomposition method
    • Esmaili Q., Ramiar A., Alizadeh E., Ganji D.D. An approximation of the analytical solution of the Jeffery-Hamel flow by decomposition method. Phys Lett A 2008, 372:3434-3439.
    • (2008) Phys Lett A , vol.372 , pp. 3434-3439
    • Esmaili, Q.1    Ramiar, A.2    Alizadeh, E.3    Ganji, D.D.4
  • 4
    • 45249090359 scopus 로고    scopus 로고
    • The application of homotopy analysis method to solve nonlinear differential equation governing Jeffery-Hamel flow
    • Domairry G., Mohsenzadeh A., Famouri M. The application of homotopy analysis method to solve nonlinear differential equation governing Jeffery-Hamel flow. Commun Nonlinear Sci Numer Simul 2008, 14:85-95.
    • (2008) Commun Nonlinear Sci Numer Simul , vol.14 , pp. 85-95
    • Domairry, G.1    Mohsenzadeh, A.2    Famouri, M.3
  • 5
    • 70350574078 scopus 로고    scopus 로고
    • Study on nonlinear Jeffery-Hamel flow by He's semi-analytical methods and comparison with numerical results
    • Ganji Z.Z., Ganji D.D., Esmaeilpour M. Study on nonlinear Jeffery-Hamel flow by He's semi-analytical methods and comparison with numerical results. Comput Math Appl 2009, 10.1016/j.camwa.2009.03.044.
    • (2009) Comput Math Appl
    • Ganji, Z.Z.1    Ganji, D.D.2    Esmaeilpour, M.3
  • 7
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration method: a kind of non-linear analytical technique: some examples
    • He J.H. Variational iteration method: a kind of non-linear analytical technique: some examples. Int J Non-Linear Mech 1999, 34(4):699-708.
    • (1999) Int J Non-Linear Mech , vol.34 , Issue.4 , pp. 699-708
    • He, J.H.1
  • 8
    • 0040184009 scopus 로고    scopus 로고
    • Variational iteration method for autonomous ordinary differential systems
    • He J.H. Variational iteration method for autonomous ordinary differential systems. Appl Math Comput 2000, 114(2-3):11523.
    • (2000) Appl Math Comput , vol.114 , Issue.2-3 , pp. 11523
    • He, J.H.1
  • 9
    • 0032672778 scopus 로고    scopus 로고
    • Homotopy perturbation technique
    • He J.H. Homotopy perturbation technique. Comput Methods Appl Mech Eng 1999, 178:257-262.
    • (1999) Comput Methods Appl Mech Eng , vol.178 , pp. 257-262
    • He, J.H.1
  • 10
    • 0033702384 scopus 로고    scopus 로고
    • A coupling method of a homotopy technique and a perturbation technique for non-linear problems
    • He J.H. A coupling method of a homotopy technique and a perturbation technique for non-linear problems. Int J Non-linear Mech 2000, 35:37-43.
    • (2000) Int J Non-linear Mech , vol.35 , pp. 37-43
    • He, J.H.1
  • 11
    • 77952505416 scopus 로고
    • The proposed homotopy analysis technique for the solution of nonlinear problems. PhD thesis. Shanghai Jiao Tong University.
    • Liao SJ. The proposed homotopy analysis technique for the solution of nonlinear problems. PhD thesis. Shanghai Jiao Tong University; 1992.
    • (1992)
    • Liao, S.J.1
  • 13
    • 25844456083 scopus 로고    scopus 로고
    • Comparison between the homotopy analysis method and the homotopy perturbation method
    • Liao S.J. Comparison between the homotopy analysis method and the homotopy perturbation method. Appl Math Comput 2005, 169:1186-1194.
    • (2005) Appl Math Comput , vol.169 , pp. 1186-1194
    • Liao, S.J.1
  • 14
    • 55549136027 scopus 로고    scopus 로고
    • Notes on the homotopy analysis method: some definitions and theores
    • Liao S.J. Notes on the homotopy analysis method: some definitions and theores. Commun Nonlinear Sci Numer Simul 2009, 14:983-997.
    • (2009) Commun Nonlinear Sci Numer Simul , vol.14 , pp. 983-997
    • Liao, S.J.1
  • 15
    • 67349162538 scopus 로고    scopus 로고
    • Comparison of homotopy analysis method and homotopy perturbation method through an evolution equation
    • Liang S., Jeffrey D.J. Comparison of homotopy analysis method and homotopy perturbation method through an evolution equation. Commun Nonlinear Sci Numer Simul 2009, 14:4057-4064.
    • (2009) Commun Nonlinear Sci Numer Simul , vol.14 , pp. 4057-4064
    • Liang, S.1    Jeffrey, D.J.2
  • 16
    • 70149124060 scopus 로고    scopus 로고
    • An efficient analytical approach for solving 4th order boundary value problems
    • Liang S., Jeffrey D.J. An efficient analytical approach for solving 4th order boundary value problems. Comput Phys Commun 2009, 180:2034-2040.
    • (2009) Comput Phys Commun , vol.180 , pp. 2034-2040
    • Liang, S.1    Jeffrey, D.J.2
  • 17
    • 33750451236 scopus 로고    scopus 로고
    • Hermite-Pade approximation approach to MHD Jeffery-Hamel flows
    • Makinde O.D., Mhone P.Y. Hermite-Pade approximation approach to MHD Jeffery-Hamel flows. Appl Math Comput 2006, 181:966-972.
    • (2006) Appl Math Comput , vol.181 , pp. 966-972
    • Makinde, O.D.1    Mhone, P.Y.2
  • 18
    • 48249148152 scopus 로고    scopus 로고
    • Effect of arbitrary magnetic Reynolds number on MHD flows in convergent-divergent channels
    • Makinde O.D. Effect of arbitrary magnetic Reynolds number on MHD flows in convergent-divergent channels. Int J Numer Methods Heat Fluid Flow 2008, 18(6):697-707.
    • (2008) Int J Numer Methods Heat Fluid Flow , vol.18 , Issue.6 , pp. 697-707
    • Makinde, O.D.1
  • 19
    • 34047272662 scopus 로고    scopus 로고
    • Temporal stability of small disturbances in MHD Jeffery-Hamel flows
    • Makinde O.D., Mhone P.Y. Temporal stability of small disturbances in MHD Jeffery-Hamel flows. Comput Math Appl 2007, 53(1):128-136.
    • (2007) Comput Math Appl , vol.53 , Issue.1 , pp. 128-136
    • Makinde, O.D.1    Mhone, P.Y.2
  • 20
    • 77949491280 scopus 로고    scopus 로고
    • A new spectral-homotopy analysis method for solving a nonlinear second order BVP
    • Motsa S.S., Sibanda P., Shateyi S. A new spectral-homotopy analysis method for solving a nonlinear second order BVP. Commun Nonlinear Sci Numer Simulat 2010, 15:2293-2302.
    • (2010) Commun Nonlinear Sci Numer Simulat , vol.15 , pp. 2293-2302
    • Motsa, S.S.1    Sibanda, P.2    Shateyi, S.3
  • 21
    • 0032033258 scopus 로고    scopus 로고
    • On the spatio-temporal development of small perturbations of Jeffery-Hamel flows
    • McAlpine A., Drazin P.G. On the spatio-temporal development of small perturbations of Jeffery-Hamel flows. Fluid Dyn Res 1998, 22:123-138.
    • (1998) Fluid Dyn Res , vol.22 , pp. 123-138
    • McAlpine, A.1    Drazin, P.G.2
  • 22
    • 77952476341 scopus 로고    scopus 로고
    • Channel entrance flow. PhD thesis. Department of Mechanical Engineering, University of Western Ontario.
    • Reza MS. Channel entrance flow. PhD thesis. Department of Mechanical Engineering, University of Western Ontario; 1997.
    • (1997)
    • Reza, M.S.1
  • 23
    • 0001375605 scopus 로고
    • The steady two-dimensional radial flow of viscous fluid between two inclined plane walls
    • Rosenhead L. The steady two-dimensional radial flow of viscous fluid between two inclined plane walls. Proc Roy Soc A 1940, 175(963):43667.
    • (1940) Proc Roy Soc A , vol.175 , Issue.963 , pp. 43667
    • Rosenhead, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.