메뉴 건너뛰기




Volumn 39, Issue 3, 2009, Pages 1317-1323

The application of homotopy analysis method for MHD viscous flow due to a shrinking sheet

Author keywords

[No Author keywords available]

Indexed keywords

VISCOUS FLOW;

EID: 62949153722     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2007.06.019     Document Type: Article
Times cited : (105)

References (31)
  • 1
    • 84984085449 scopus 로고
    • Boundary layer behaviour on continuous solid surfaces
    • Sakiadis B.C. Boundary layer behaviour on continuous solid surfaces. AICHE J 7 (1961) 26-28
    • (1961) AICHE J , vol.7 , pp. 26-28
    • Sakiadis, B.C.1
  • 2
    • 84984087948 scopus 로고
    • Boundary layer behaviour on continuous solid surfaces: II, the boundary layer on a continuous flat surface
    • Sakiadis B.C. Boundary layer behaviour on continuous solid surfaces: II, the boundary layer on a continuous flat surface. AICHE J 17 (1961) 221-225
    • (1961) AICHE J , vol.17 , pp. 221-225
    • Sakiadis, B.C.1
  • 3
    • 33646099212 scopus 로고
    • Flow past a stretching plate
    • Crane L.J. Flow past a stretching plate. Z Angew Math Mech 21 (1970) 645-647
    • (1970) Z Angew Math Mech , vol.21 , pp. 645-647
    • Crane, L.J.1
  • 4
    • 0023246415 scopus 로고
    • On the uniqueness of flow of a Navier-Stokes fluid due to a stretching boundary
    • McLeod J.B., and Rajagopal K.R. On the uniqueness of flow of a Navier-Stokes fluid due to a stretching boundary. Arch Rat Mech Anal 98 (1987) 385-393
    • (1987) Arch Rat Mech Anal , vol.98 , pp. 385-393
    • McLeod, J.B.1    Rajagopal, K.R.2
  • 5
    • 84984317575 scopus 로고
    • Heat and mass transfer on a stretching sheet with suction and blowing
    • Gupta P.S., and Gupta A.S. Heat and mass transfer on a stretching sheet with suction and blowing. Can J Chem Eng 55 (1977) 744-746
    • (1977) Can J Chem Eng , vol.55 , pp. 744-746
    • Gupta, P.S.1    Gupta, A.S.2
  • 6
    • 17744408669 scopus 로고
    • Steady flow in a channel or tube with accelerating surface velocity. An exact solution to the Navier-Stokes equations with reverse flow
    • Brady J.F., and Acrivos A. Steady flow in a channel or tube with accelerating surface velocity. An exact solution to the Navier-Stokes equations with reverse flow. J Fluid Mech 112 (1981) 127-150
    • (1981) J Fluid Mech , vol.112 , pp. 127-150
    • Brady, J.F.1    Acrivos, A.2
  • 7
    • 0010001845 scopus 로고
    • Fluid flow due to a stretching cylinder
    • Wang C.Y. Fluid flow due to a stretching cylinder. Phys Fluids 31 (1988) 466-468
    • (1988) Phys Fluids , vol.31 , pp. 466-468
    • Wang, C.Y.1
  • 8
    • 0021480113 scopus 로고
    • The three dimensional flow due to a stretching flat surface
    • Wang C.Y. The three dimensional flow due to a stretching flat surface. Phys Fluids 27 (1984) 1915-1917
    • (1984) Phys Fluids , vol.27 , pp. 1915-1917
    • Wang, C.Y.1
  • 9
    • 0038193341 scopus 로고
    • Liquid film on an unsteady stretching sheet
    • Wang C.Y. Liquid film on an unsteady stretching sheet. Quart Appl Math 48 (1990) 601-610
    • (1990) Quart Appl Math , vol.48 , pp. 601-610
    • Wang, C.Y.1
  • 10
    • 0029272417 scopus 로고
    • The axisymmetrical motion of a liquid film on an unsteady stretching surface
    • Usha R., and Sridharan R. The axisymmetrical motion of a liquid film on an unsteady stretching surface. J Fluids Eng 117 (1995) 81-85
    • (1995) J Fluids Eng , vol.117 , pp. 81-85
    • Usha, R.1    Sridharan, R.2
  • 11
    • 33748030110 scopus 로고    scopus 로고
    • Viscous flow due to a shrinking sheet
    • Miklavcic M., and Wang C.Y. Viscous flow due to a shrinking sheet. Quart Appl Math 64 (2006) 283-290
    • (2006) Quart Appl Math , vol.64 , pp. 283-290
    • Miklavcic, M.1    Wang, C.Y.2
  • 13
    • 0141961626 scopus 로고    scopus 로고
    • On the homotopy analysis method for nonlinear problems
    • Liao S.J. On the homotopy analysis method for nonlinear problems. Appl Math Comput 147 (2004) 499-513
    • (2004) Appl Math Comput , vol.147 , pp. 499-513
    • Liao, S.J.1
  • 14
    • 0032640240 scopus 로고    scopus 로고
    • A uniformly valid analytic solution of 2D viscous flow past a semi-infinite flat plate
    • Liao S.J. A uniformly valid analytic solution of 2D viscous flow past a semi-infinite flat plate. J Fluid Mech 385 (1999) 101-128
    • (1999) J Fluid Mech , vol.385 , pp. 101-128
    • Liao, S.J.1
  • 15
    • 33747193120 scopus 로고    scopus 로고
    • Explicit analytic solution for similarity boundary layer equations
    • Liao S.J., and Pop I. Explicit analytic solution for similarity boundary layer equations. Int J Heat Mass Transfer 46 10 (2004) 1855-1860
    • (2004) Int J Heat Mass Transfer , vol.46 , Issue.10 , pp. 1855-1860
    • Liao, S.J.1    Pop, I.2
  • 16
    • 0041764457 scopus 로고    scopus 로고
    • Exact flow of a third grade fluid past a porous plate using homotopy analysis method
    • Ayub M., Rasheed A., and Hayat T. Exact flow of a third grade fluid past a porous plate using homotopy analysis method. Int J Eng Sci 41 (2003) 2091-2103
    • (2003) Int J Eng Sci , vol.41 , pp. 2091-2103
    • Ayub, M.1    Rasheed, A.2    Hayat, T.3
  • 17
    • 0141927321 scopus 로고    scopus 로고
    • On the explicit analytic solutions of an Oldroyd 6-constant fluid
    • Hayat T., Khan M., and Ayub M. On the explicit analytic solutions of an Oldroyd 6-constant fluid. Int J Eng Sci 42 (2004) 123-135
    • (2004) Int J Eng Sci , vol.42 , pp. 123-135
    • Hayat, T.1    Khan, M.2    Ayub, M.3
  • 18
    • 4544284719 scopus 로고    scopus 로고
    • Couette and Poiseuille flows of an Oldroyd 6-constant fluid with magnetic field
    • Hayat T., Khan M., and Ayub M. Couette and Poiseuille flows of an Oldroyd 6-constant fluid with magnetic field. J Math Anal Appl 298 (2004) 225-244
    • (2004) J Math Anal Appl , vol.298 , pp. 225-244
    • Hayat, T.1    Khan, M.2    Ayub, M.3
  • 19
    • 2442526691 scopus 로고    scopus 로고
    • llHomotopy analysis of MHD flows of an Oldroyd 8-constant fluid
    • Hayat T., Khan M., and Asghar S. llHomotopy analysis of MHD flows of an Oldroyd 8-constant fluid. Acta Mech 168 (2004) 213-232
    • (2004) Acta Mech , vol.168 , pp. 213-232
    • Hayat, T.1    Khan, M.2    Asghar, S.3
  • 20
    • 17044390075 scopus 로고    scopus 로고
    • On the explicit purely analytic solution of Von Karman swirling viscous flow
    • Yang C., and Liao S. On the explicit purely analytic solution of Von Karman swirling viscous flow. Commun Non-linear Sci Numer Sim 11 (2006) 83-93
    • (2006) Commun Non-linear Sci Numer Sim , vol.11 , pp. 83-93
    • Yang, C.1    Liao, S.2
  • 21
    • 17944369480 scopus 로고    scopus 로고
    • A new branch of solutions of boundary-layer flows over an impermeable stretched plate
    • Liao S.J. A new branch of solutions of boundary-layer flows over an impermeable stretched plate. Int J Heat Mass Transfer 48 (2005) 2529-2539
    • (2005) Int J Heat Mass Transfer , vol.48 , pp. 2529-2539
    • Liao, S.J.1
  • 22
    • 26844487797 scopus 로고    scopus 로고
    • An analytic solution of unsteady boundary-layer flows caused by an impulsively stretching plate
    • Liao S.J. An analytic solution of unsteady boundary-layer flows caused by an impulsively stretching plate. Commun Non-linear Sci Numer Sim 11 (2006) 326-339
    • (2006) Commun Non-linear Sci Numer Sim , vol.11 , pp. 326-339
    • Liao, S.J.1
  • 23
    • 17644421077 scopus 로고    scopus 로고
    • Solving solitary waves with discontinuity by means of the homotopy analysis method
    • Wu W., and Liao S.J. Solving solitary waves with discontinuity by means of the homotopy analysis method. Chaos, Solitons & Fractals 26 (2005) 177-185
    • (2005) Chaos, Solitons & Fractals , vol.26 , pp. 177-185
    • Wu, W.1    Liao, S.J.2
  • 24
    • 9544236204 scopus 로고    scopus 로고
    • Solving the one loop solution of the Vakhnenko equation by means of the homotopy analysis method
    • Wu Y.Y., Wang C., and Liao S.J. Solving the one loop solution of the Vakhnenko equation by means of the homotopy analysis method. Chaos, Solitons & Fractals 23 (2005) 1733-1740
    • (2005) Chaos, Solitons & Fractals , vol.23 , pp. 1733-1740
    • Wu, Y.Y.1    Wang, C.2    Liao, S.J.3
  • 25
    • 25844507243 scopus 로고    scopus 로고
    • Series solutions of unsteady magnetohydrodynamic flows of non-Newtonian fluids caused by an impulsively stretching plate
    • Xu H., and Liao S.J. Series solutions of unsteady magnetohydrodynamic flows of non-Newtonian fluids caused by an impulsively stretching plate. J Non-Newtonian Fluid Mech 129 (2005) 46-55
    • (2005) J Non-Newtonian Fluid Mech , vol.129 , pp. 46-55
    • Xu, H.1    Liao, S.J.2
  • 26
    • 33646702186 scopus 로고    scopus 로고
    • On the analytic solution of the steady flow of a fourth grade fluid
    • Sajid M., Hayat T., and Asghar S. On the analytic solution of the steady flow of a fourth grade fluid. Phys Lett A 355 (2006) 18-24
    • (2006) Phys Lett A , vol.355 , pp. 18-24
    • Sajid, M.1    Hayat, T.2    Asghar, S.3
  • 27
    • 33747196070 scopus 로고    scopus 로고
    • MHD boundary layer flow of an upper-convected Maxwell fluid in a porous channel
    • Abbas Z., Sajid M., and Hayat T. MHD boundary layer flow of an upper-convected Maxwell fluid in a porous channel. Theor Comput Fluid Dyn 20 (2006) 229-238
    • (2006) Theor Comput Fluid Dyn , vol.20 , pp. 229-238
    • Abbas, Z.1    Sajid, M.2    Hayat, T.3
  • 28
    • 33748139778 scopus 로고    scopus 로고
    • Series solution for the upper-convected Maxwell fluid over a porous stretching plate
    • Hayat T., Abbas Z., and Sajid M. Series solution for the upper-convected Maxwell fluid over a porous stretching plate. Phys Lett A 358 (2006) 396-403
    • (2006) Phys Lett A , vol.358 , pp. 396-403
    • Hayat, T.1    Abbas, Z.2    Sajid, M.3
  • 29
    • 33750339270 scopus 로고    scopus 로고
    • The application of homotopy analysis method to nonlinear equations arising in heat transfer
    • Abbasbandy S. The application of homotopy analysis method to nonlinear equations arising in heat transfer. Phys Lett A 360 (2006) 109-113
    • (2006) Phys Lett A , vol.360 , pp. 109-113
    • Abbasbandy, S.1
  • 30
    • 33744970924 scopus 로고    scopus 로고
    • An exact and explicit solution for the valuation of american put options
    • Zhu S.P. An exact and explicit solution for the valuation of american put options. Quant Finance 6 (2006) 229-242
    • (2006) Quant Finance , vol.6 , pp. 229-242
    • Zhu, S.P.1
  • 31
    • 33748467284 scopus 로고    scopus 로고
    • A closed-form analytical solution for the valuation of convertable bonds with constant dividend yield
    • Zhu S.P. A closed-form analytical solution for the valuation of convertable bonds with constant dividend yield. Anziam J 47 (2006) 477-494
    • (2006) Anziam J , vol.47 , pp. 477-494
    • Zhu, S.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.