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Volumn 189, Issue 2, 2007, Pages 1576-1585

Non-similar series solution for boundary layer flow of a third-order fluid over a stretching sheet

Author keywords

Boundary layer flow; HAM solution; Third order fluid

Indexed keywords

NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 34249045478     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.12.038     Document Type: Article
Times cited : (41)

References (27)
  • 1
    • 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
  • 2
    • 9544254862 scopus 로고    scopus 로고
    • Flow and heat transfer of an electrically conducting fluid of second grade in a porous medium over a stretching sheet subject to a transverse magnetic field
    • Liu I.C. Flow and heat transfer of an electrically conducting fluid of second grade in a porous medium over a stretching sheet subject to a transverse magnetic field. Int. J. Non-linear Mech. 40 (2005) 465-474
    • (2005) Int. J. Non-linear Mech. , vol.40 , pp. 465-474
    • Liu, I.C.1
  • 3
    • 15344343588 scopus 로고    scopus 로고
    • Effects of radiation and heat source on MHD flow of a viscoelastic liquid and heat transfer over a stretching sheet
    • Siddheshwar P.G., and Mahabaleswar U.S. Effects of radiation and heat source on MHD flow of a viscoelastic liquid and heat transfer over a stretching sheet. Int. J. Non-linear Mech. 40 (2005) 807-820
    • (2005) Int. J. Non-linear Mech. , vol.40 , pp. 807-820
    • Siddheshwar, P.G.1    Mahabaleswar, U.S.2
  • 4
    • 0141917522 scopus 로고    scopus 로고
    • Stagnation-point flow of a viscoelastic fluid towards a stretching surface
    • Mahapatra T.R., and Gupta A.S. Stagnation-point flow of a viscoelastic fluid towards a stretching surface. Int. J. Non-linear Mech. 39 (2004) 811-820
    • (2004) Int. J. Non-linear Mech. , vol.39 , pp. 811-820
    • Mahapatra, T.R.1    Gupta, A.S.2
  • 5
    • 2142694444 scopus 로고    scopus 로고
    • MHD viscoelastic fluid flow over a non-isothermal stretching sheet
    • Datti P.S., Prasad K.V., Abel M.S., and Joshi A. MHD viscoelastic fluid flow over a non-isothermal stretching sheet. Int. J. Eng. Sci. 42 (2004) 935-946
    • (2004) Int. J. Eng. Sci. , vol.42 , pp. 935-946
    • Datti, P.S.1    Prasad, K.V.2    Abel, M.S.3    Joshi, A.4
  • 6
    • 3142609569 scopus 로고    scopus 로고
    • Unsteady boundary layer flow in the region of the stagnation point on a stretching sheet
    • Nazar R., Amin N., Filip D., and Pop I. Unsteady boundary layer flow in the region of the stagnation point on a stretching sheet. Int. J. Eng. Sci. 42 (2004) 1241-1253
    • (2004) Int. J. Eng. Sci. , vol.42 , pp. 1241-1253
    • Nazar, R.1    Amin, N.2    Filip, D.3    Pop, I.4
  • 7
    • 1442309142 scopus 로고    scopus 로고
    • Local similarity solution for the flow of a second grade viscoelastic fluid above a moving plate
    • Sadeghy K., and Sharifi M. Local similarity solution for the flow of a second grade viscoelastic fluid above a moving plate. Int. J. Non-linear Mech. 39 (2004) 1265-1273
    • (2004) Int. J. Non-linear Mech. , vol.39 , pp. 1265-1273
    • Sadeghy, K.1    Sharifi, M.2
  • 9
    • 0141961626 scopus 로고    scopus 로고
    • On the homotopy analysis method for nonlinear problems
    • Liao S. 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.1
  • 10
    • 0032640240 scopus 로고    scopus 로고
    • A uniformly valid analytic solution of 2D viscous flow past a semi-infinite flat plate
    • Liao S. 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.1
  • 11
    • 0037170485 scopus 로고    scopus 로고
    • Analytic solutions of the temperature distribution in Blasius viscous flow problems
    • Liao S., and Campo A. Analytic solutions of the temperature distribution in Blasius viscous flow problems. J. Fluid Mech. 453 (2002) 411-425
    • (2002) J. Fluid Mech. , vol.453 , pp. 411-425
    • Liao, S.1    Campo, A.2
  • 12
    • 0042354097 scopus 로고    scopus 로고
    • On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet
    • Liao S. On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet. J. Fluid Mech. 488 (2003) 189-212
    • (2003) J. Fluid Mech. , vol.488 , pp. 189-212
    • Liao, S.1
  • 13
    • 0037300634 scopus 로고    scopus 로고
    • Homotopy analysis of nonlinear progressive waves in deep water
    • Liao S., and Cheung K.F. Homotopy analysis of nonlinear progressive waves in deep water. J. Eng. Math. 45 2 (2003) 105-116
    • (2003) J. Eng. Math. , vol.45 , Issue.2 , pp. 105-116
    • Liao, S.1    Cheung, K.F.2
  • 14
    • 33747193120 scopus 로고    scopus 로고
    • Explicit analytic solution for similarity boundary layer equations
    • Liao S., 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.1    Pop, I.2
  • 15
    • 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
  • 16
    • 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
  • 17
    • 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
  • 18
    • 2442526691 scopus 로고    scopus 로고
    • Homotopy analysis of MHD flows of an Oldroyd 8-constant fluid
    • Hayat T., Khan M., and Asghar S. Homotopy analysis of MHD flows of an Oldroyd 8-constant fluid. Acta Mechanica 168 (2004) 213-232
    • (2004) Acta Mechanica , vol.168 , pp. 213-232
    • Hayat, T.1    Khan, M.2    Asghar, S.3
  • 19
    • 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. Comm. Non-linear Sci. Numer. Simm. 11 (2006) 83-93
    • (2006) Comm. Non-linear Sci. Numer. Simm. , vol.11 , pp. 83-93
    • Yang, C.1    Liao, S.2
  • 20
    • 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 48/12 (2005) 2529-2539
    • (2005) Int. J. Heat Mass Transfer , vol.48-12 , pp. 2529-2539
    • Liao, S.J.1
  • 21
    • 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. Comm. Non-linear Sci. Numer. Simm. 11 (2006) 326-339
    • (2006) Comm. Non-linear Sci. Numer. Simm. , vol.11 , pp. 326-339
    • Liao, S.J.1
  • 22
    • 21444458888 scopus 로고    scopus 로고
    • Analytic series solution for unsteady mixed convection boundary layer flow near the stagnation point on a vertical surface in a porous medium
    • Cheng J., Liao S.J., and Pop I. Analytic series solution for unsteady mixed convection boundary layer flow near the stagnation point on a vertical surface in a porous medium. Transport Porous Med. 61 (2005) 365-379
    • (2005) Transport Porous Med. , vol.61 , pp. 365-379
    • Cheng, J.1    Liao, S.J.2    Pop, I.3
  • 23
    • 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
  • 24
    • 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
    • 0016985760 scopus 로고
    • Nonlinear stochastic differential equations
    • Adomian G. Nonlinear stochastic differential equations. J. Math. Anal. Appl. 55 (1976) 441-452
    • (1976) J. Math. Anal. Appl. , vol.55 , pp. 441-452
    • Adomian, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.