메뉴 건너뛰기




Volumn 48, Issue 3-4, 2008, Pages 518-526

Unsteady flow of a second grade fluid film over an unsteady stretching sheet

Author keywords

HAM solution; Liquid film; Second grade fluid; Stretching sheet

Indexed keywords

BESSEL FUNCTIONS; CONVERGENCE OF NUMERICAL METHODS; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); EXTRAPOLATION; FLUID DYNAMICS; FLUID MECHANICS; FLUIDICS; FLUIDS; FRICTION; LIQUID FILMS; MATHEMATICAL TRANSFORMATIONS; NONLINEAR EQUATIONS; NONLINEAR PROGRAMMING; NUMERICAL METHODS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; THIN FILMS; WALL FLOW;

EID: 44849113843     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2007.09.015     Document Type: Article
Times cited : (92)

References (41)
  • 1
    • 84984085449 scopus 로고
    • Boundary layer behavior on continuous solid surface I: Boundary layer equations for two dimensional and axisymmetric flow
    • Sakiadis B.C. Boundary layer behavior on continuous solid surface I: Boundary layer equations for two dimensional and axisymmetric flow. 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 surface II: Boundary layer on a continuous flat surface
    • Sakiadis B.C. Boundary layer behaviour on continuous solid surface II: Boundary layer on a continuous flat surface. AIChE J. 7 (1961) 221-225
    • (1961) AIChE J. , vol.7 , pp. 221-225
    • Sakiadis, B.C.1
  • 3
    • 33746242287 scopus 로고    scopus 로고
    • Effects of viscous dissipation and work done by deformation on the MHD flow and heat transfer of a viscoelastic fluid over a stretching sheet
    • Cortell R. Effects of viscous dissipation and work done by deformation on the MHD flow and heat transfer of a viscoelastic fluid over a stretching sheet. Phys. Lett. A 357 (2006) 298-305
    • (2006) Phys. Lett. A , vol.357 , pp. 298-305
    • Cortell, R.1
  • 4
    • 25844484212 scopus 로고    scopus 로고
    • Flow and heat transfer of a fluid through a porous medium over a stretching surface with internal heat generation/absorption and suction/blowing
    • Cortell R. Flow and heat transfer of a fluid through a porous medium over a stretching surface with internal heat generation/absorption and suction/blowing. Fluid Dyn. Res. 37 (2005) 231-245
    • (2005) Fluid Dyn. Res. , vol.37 , pp. 231-245
    • Cortell, R.1
  • 5
    • 25644434151 scopus 로고    scopus 로고
    • A note on magnetohydrodynamic flow of a power-law fluid over a stretching sheet
    • Cortell R. A note on magnetohydrodynamic flow of a power-law fluid over a stretching sheet. Appl. Math. Comput. 168 (2005) 557-566
    • (2005) Appl. Math. Comput. , vol.168 , pp. 557-566
    • Cortell, R.1
  • 7
    • 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
  • 8
    • 33750714429 scopus 로고    scopus 로고
    • Analytic solution for axisymmetric flow and heat transfer of a second grade fluid past a stretching sheet
    • Hayat T., and Sajid M. Analytic solution for axisymmetric flow and heat transfer of a second grade fluid past a stretching sheet. Int. J. Heat Mass Transfer 50 (2007) 75-84
    • (2007) Int. J. Heat Mass Transfer , vol.50 , pp. 75-84
    • Hayat, T.1    Sajid, M.2
  • 9
    • 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
  • 10
    • 22944486641 scopus 로고    scopus 로고
    • An explicit analytic solution for convective heat transfer in an electrically conducting fluid at a stretching surface with uniform free stream
    • Xu H. An explicit analytic solution for convective heat transfer in an electrically conducting fluid at a stretching surface with uniform free stream. Int. J. Eng. Sci. 43 (2005) 859-874
    • (2005) Int. J. Eng. Sci. , vol.43 , pp. 859-874
    • Xu, H.1
  • 11
    • 0038193341 scopus 로고
    • Liquid film on an unsteady stretching surface
    • Wang C.Y. Liquid film on an unsteady stretching surface. Quart. Appl. Math. XLVIII (1990) 601-610
    • (1990) Quart. Appl. Math. , vol.XLVIII , pp. 601-610
    • Wang, C.Y.1
  • 12
    • 0041624817 scopus 로고
    • On motion of a liquid film on an unsteady stretching surface
    • Usha R., and Sridharan R. On motion of a liquid film on an unsteady stretching surface. ASME Fluids Eng. 150 (1993) 43-48
    • (1993) ASME Fluids Eng. , vol.150 , pp. 43-48
    • Usha, R.1    Sridharan, R.2
  • 15
    • 44849096585 scopus 로고    scopus 로고
    • I.C. Liu, H.I. Andersson, Heat transfer in a liquid film on an unsteady stretching sheet, Int. J. Ther. Sci. (in press)
    • I.C. Liu, H.I. Andersson, Heat transfer in a liquid film on an unsteady stretching sheet, Int. J. Ther. Sci. (in press)
  • 16
    • 0142185276 scopus 로고    scopus 로고
    • Heat transfer in a power-law fluid film over a unsteady stretching sheet
    • Chen C.H. Heat transfer in a power-law fluid film over a unsteady stretching sheet. Heat Mass transfer 39 (2003) 791-796
    • (2003) Heat Mass transfer , vol.39 , pp. 791-796
    • Chen, C.H.1
  • 17
    • 33646434001 scopus 로고    scopus 로고
    • Analytic solutions for a liquid film on an unsteady stretching surface
    • Wang C. Analytic solutions for a liquid film on an unsteady stretching surface. Heat Mass Transfer 42 (2006) 759-766
    • (2006) Heat Mass Transfer , vol.42 , pp. 759-766
    • Wang, C.1
  • 18
    • 33748307715 scopus 로고    scopus 로고
    • Analysis of the flow of a power-law fluid film on an unsteady stretching surface by means of homotopy analysis method
    • Wang C., and Pop I. Analysis of the flow of a power-law fluid film on an unsteady stretching surface by means of homotopy analysis method. J. Non-Newtonian Fluid Mech. 138 (2006) 161-172
    • (2006) J. Non-Newtonian Fluid Mech. , vol.138 , pp. 161-172
    • Wang, C.1    Pop, I.2
  • 20
    • 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
  • 21
    • 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
  • 22
    • 0037300634 scopus 로고    scopus 로고
    • Homotopy analysis of nonlinear progressive waves in deep water
    • Liao S.J., and Cheung K.F. Homotopy analysis of nonlinear progressive waves in deep water. J. Eng. Math. 45 (2003) 105-116
    • (2003) J. Eng. Math. , vol.45 , pp. 105-116
    • Liao, S.J.1    Cheung, K.F.2
  • 23
    • 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. Simul. 11 (2006) 326-339
    • (2006) Commun. Non-linear Sci. Numer. Simul. , vol.11 , pp. 326-339
    • Liao, S.J.1
  • 24
    • 25844456083 scopus 로고    scopus 로고
    • Comparison between the homotopy analysis method and homotopy perturbation method
    • Liao S.J. Comparison between the homotopy analysis method and homotopy perturbation method. Appl. Math. Comput. 169 (2005) 1186-1194
    • (2005) Appl. Math. Comput. , vol.169 , pp. 1186-1194
    • Liao, S.J.1
  • 25
    • 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. Trans. Porous Media 61 (2005) 365-379
    • (2005) Trans. Porous Media , vol.61 , pp. 365-379
    • Cheng, J.1    Liao, S.J.2    Pop, I.3
  • 26
    • 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
  • 27
    • 34848880798 scopus 로고    scopus 로고
    • Homotopy analysis method for quadratic Recati differential equation
    • Tan Y., and Abbasbandy S. Homotopy analysis method for quadratic Recati differential equation. Commun. Non-linear Sci. Numer. Simul. 13 (2008) 539-546
    • (2008) Commun. Non-linear Sci. Numer. Simul. , vol.13 , pp. 539-546
    • Tan, Y.1    Abbasbandy, S.2
  • 28
    • 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. Qunat. Finance 6 (2006) 229-242
    • (2006) Qunat. Finance , vol.6 , pp. 229-242
    • Zhu, S.P.1
  • 29
    • 33748467284 scopus 로고    scopus 로고
    • A closed-form analytical solution for the valuation of convertible bonds with constant dividend yield
    • Zhu S.P. A closed-form analytical solution for the valuation of convertible bonds with constant dividend yield. Anziam J. 47 (2006) 477-494
    • (2006) Anziam J. , vol.47 , pp. 477-494
    • Zhu, S.P.1
  • 30
    • 17644421077 scopus 로고    scopus 로고
    • Solving solitary waves with discontinuity by means of the homotopy analysis method
    • Wu Y., Wang C., and Liao S.J. Solving solitary waves with discontinuity by means of the homotopy analysis method. Choas Solitons Fractals 26 (2005) 177-185
    • (2005) Choas Solitons Fractals , vol.26 , pp. 177-185
    • Wu, Y.1    Wang, C.2    Liao, S.J.3
  • 31
    • 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
  • 32
    • 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 Mech. 168 (2004) 213-232
    • (2004) Acta Mech. , vol.168 , pp. 213-232
    • Hayat, T.1    Khan, M.2    Asghar, S.3
  • 33
    • 33646702186 scopus 로고    scopus 로고
    • On the analytic solution of steady flow of a fourth grade fluid
    • Sajid M., Hayat T., and Asghar S. On the analytic solution of 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
  • 34
    • 33747196070 scopus 로고    scopus 로고
    • MHD boundary layer flow of an upper-convected Maxwell fluid in porous channel
    • Abbas Z., Sajid M., and Hayat T. MHD boundary layer flow of an upper-convected Maxwell fluid in porous channel. Theor. Comp. Fluid Dyn. 20 (2006) 229-238
    • (2006) Theor. Comp. Fluid Dyn. , vol.20 , pp. 229-238
    • Abbas, Z.1    Sajid, M.2    Hayat, T.3
  • 35
    • 33846635947 scopus 로고    scopus 로고
    • The influence of thermal radiation on MHD flow of a second grade fluid
    • Hayat T., Abbas Z., Sajid M., and Asghar S. The influence of thermal radiation on MHD flow of a second grade fluid. Int. J. Heat Mass Transfer 50 (2007) 931-941
    • (2007) Int. J. Heat Mass Transfer , vol.50 , pp. 931-941
    • Hayat, T.1    Abbas, Z.2    Sajid, M.3    Asghar, S.4
  • 36
    • 34548230554 scopus 로고    scopus 로고
    • Comparison of the HAM and HPM solutions of thin film flows of non-Newtonian fluids on a moving belt
    • Sajid M., Hayat T., and Asghar S. Comparison of the HAM and HPM solutions of thin film flows of non-Newtonian fluids on a moving belt. Nonlinear Dyn. 50 (2007) 27-35
    • (2007) Nonlinear Dyn. , vol.50 , pp. 27-35
    • Sajid, M.1    Hayat, T.2    Asghar, S.3
  • 37
    • 34249806325 scopus 로고    scopus 로고
    • Derivation of the Adomian decomposition method using the homotopy analysis method
    • Allan F.M. Derivation of the Adomian decomposition method using the homotopy analysis method. Appl. Math. Comput. 190 (2007) 6-14
    • (2007) Appl. Math. Comput. , vol.190 , pp. 6-14
    • Allan, F.M.1
  • 38
    • 34247352920 scopus 로고    scopus 로고
    • On exact solution of Laplace equation with Dirichlet and Neumann boundary conditions by the homotopy analysis method
    • Inc M. On exact solution of Laplace equation with Dirichlet and Neumann boundary conditions by the homotopy analysis method. Phys. Lett. A 365 (2007) 412-415
    • (2007) Phys. Lett. A , vol.365 , pp. 412-415
    • Inc, M.1
  • 39
    • 44849091695 scopus 로고    scopus 로고
    • M. Khan, Z. Abbas, T. Hayat, Analytic solution for flow of Sisko fluid through a porous medium, Transp. Porous Media (in press)
    • M. Khan, Z. Abbas, T. Hayat, Analytic solution for flow of Sisko fluid through a porous medium, Transp. Porous Media (in press)
  • 40
    • 0021127642 scopus 로고
    • An exact solution for the flow of a non-Newtonian fluid past an infinite porous plate
    • Rajagopal K.R., and Gupta A.S. An exact solution for the flow of a non-Newtonian fluid past an infinite porous plate. Meccanica 19 (1984) 156-160
    • (1984) Meccanica , vol.19 , pp. 156-160
    • Rajagopal, K.R.1    Gupta, A.S.2
  • 41
    • 0029289811 scopus 로고
    • Fluids of differential type - critical review and thermodynamic analysis
    • Dunn J.E., and Rajagopal K.R. Fluids of differential type - critical review and thermodynamic analysis. Int. J. Eng. Sci. 33 (1995) 689-729
    • (1995) Int. J. Eng. Sci. , vol.33 , pp. 689-729
    • Dunn, J.E.1    Rajagopal, K.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.