메뉴 건너뛰기




Volumn 217, Issue 8, 2010, Pages 4086-4093

On a certain boundary value problem arising in shrinking sheet flows

Author keywords

Laminar boundary layer; Mass suction; Numerical solution; Shrinking surfaces

Indexed keywords

AXISYMMETRIC; ENTRAINMENT VELOCITIES; FLOW CHARACTERISTIC; HARTMANN NUMBERS; MASS SUCTION; MASS TRANSFER PARAMETERS; NONLINEAR ORDINARY DIFFERENTIAL EQUATION; NUMERICAL SOLUTION; SHOOTING PROCEDURE; SHRINKING SHEET; SHRINKING SURFACE; SKIN FRICTION COEFFICIENT; SUCTION PARAMETER;

EID: 78649948656     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2010.10.024     Document Type: Article
Times cited : (32)

References (30)
  • 1
    • 78649934512 scopus 로고    scopus 로고
    • Aligned and nonaligned radial stagnation flow an a stretching cylinder
    • 10.1016/j.euromechflu.2010.08.001
    • P.D. Weidman, and M.E. Ali Aligned and nonaligned radial stagnation flow an a stretching cylinder Eur. J. Mech. B/Fluids 2010 10.1016/j.euromechflu.2010. 08.001
    • (2010) Eur. J. Mech. B/Fluids
    • Weidman, P.D.1    Ali, M.E.2
  • 2
    • 84984085449 scopus 로고
    • Boundary-layer behaviour on continuous solid surfaces
    • B.C. Sakiadis Boundary-layer behaviour on continuous solid surfaces A.I.Ch.E. J. 7 1961 26 28
    • (1961) A.I.Ch.E. J. , vol.7 , pp. 26-28
    • Sakiadis, B.C.1
  • 3
    • 33646099212 scopus 로고
    • Flow past a stretching plate
    • L.J. Crane Flow past a stretching plate Z. Angew. Math. Phys. 21 1970 645 647
    • (1970) Z. Angew. Math. Phys. , vol.21 , pp. 645-647
    • Crane, L.J.1
  • 4
    • 84984317575 scopus 로고
    • Heat and mass transfer on a stretching sheet with suction or blowing
    • P.S. Gupta, and A.S. Gupta Heat and mass transfer on a stretching sheet with suction or 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
  • 5
    • 0028392375 scopus 로고
    • Similarity solutions for flow and heat transfer of a viscoelastic fluid over a stretching sheet
    • R. Cortell Similarity solutions for flow and heat transfer of a viscoelastic fluid over a stretching sheet Int. J. Non-Linear Mech. 29 1994 155 161
    • (1994) Int. J. Non-Linear Mech. , vol.29 , pp. 155-161
    • Cortell, R.1
  • 6
    • 29144528110 scopus 로고    scopus 로고
    • A note on flow and heat transfer of a viscoelastic fluid over a stretching sheet
    • R. Cortell A note on flow and heat transfer of a viscoelastic fluid over a stretching sheet Int. J. Non-Linear Mech. 41 2006 78 85
    • (2006) Int. J. Non-Linear Mech. , vol.41 , pp. 78-85
    • Cortell, R.1
  • 7
    • 0242438631 scopus 로고    scopus 로고
    • Hydromagnetic flow of a second grade fluid over a stretching sheet
    • K. Vajravelu, and D. Rollings Hydromagnetic flow of a second grade fluid over a stretching sheet Appl. Math. Comput. 148 2004 783 791
    • (2004) Appl. Math. Comput. , vol.148 , pp. 783-791
    • Vajravelu, K.1    Rollings, D.2
  • 8
    • 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
    • R. Cortell 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
  • 9
    • 34548452950 scopus 로고    scopus 로고
    • Toward an understanding of the motion and mass transfer with chemically reactive species for two classes of viscoelastic fluid over a porous stretching sheet
    • R. Cortell Toward an understanding of the motion and mass transfer with chemically reactive species for two classes of viscoelastic fluid over a porous stretching sheet Chem. Eng. Process. 46 2007 982 989
    • (2007) Chem. Eng. Process. , vol.46 , pp. 982-989
    • Cortell, R.1
  • 10
    • 77949489622 scopus 로고    scopus 로고
    • Homotopy solution for the unsteady three-dimensional MHD flow and mass transfer in a porous space
    • T. Hayat, M. Qasim, and Z. Abbas Homotopy solution for the unsteady three-dimensional MHD flow and mass transfer in a porous space Commun. Nonlinear Sci. Numer. Simul. 15 2010 2375 2387
    • (2010) Commun. Nonlinear Sci. Numer. Simul. , vol.15 , pp. 2375-2387
    • Hayat, T.1    Qasim, M.2    Abbas, Z.3
  • 11
    • 70350534665 scopus 로고    scopus 로고
    • Effects of Ohmic heating and viscous dissipation on steady MHD flow near a stagnation point on an isothermal stretching sheet
    • P.R. Sharma, and G. Singh Effects of Ohmic heating and viscous dissipation on steady MHD flow near a stagnation point on an isothermal stretching sheet Therm. Sci. 13 1 2009 5 12
    • (2009) Therm. Sci. , vol.13 , Issue.1 , pp. 5-12
    • Sharma, P.R.1    Singh, G.2
  • 12
    • 0035892440 scopus 로고    scopus 로고
    • Viscous flow over a nonlinearly stretching sheet
    • K. Vajravelu Viscous flow over a nonlinearly stretching sheet Appl. Math. Comput. 124 2001 281 288
    • (2001) Appl. Math. Comput. , vol.124 , pp. 281-288
    • Vajravelu, K.1
  • 13
    • 33846644430 scopus 로고    scopus 로고
    • Viscous flow and heat transfer over a nonlinearly stretching sheet
    • R. Cortell Viscous flow and heat transfer over a nonlinearly stretching sheet Appl. Math. Comput. 184 2007 864 873
    • (2007) Appl. Math. Comput. , vol.184 , pp. 864-873
    • Cortell, R.1
  • 14
    • 38049011387 scopus 로고    scopus 로고
    • Effects of viscous dissipation and radiation on the thermal boundary layer over a nonlinearly stretching sheet
    • R. Cortell Effects of viscous dissipation and radiation on the thermal boundary layer over a nonlinearly stretching sheet Phys. Lett. A 372 2008 631 636
    • (2008) Phys. Lett. A , vol.372 , pp. 631-636
    • Cortell, R.1
  • 15
    • 43849097547 scopus 로고    scopus 로고
    • Similarity solutions for flow and heat transfer of a quiescent fluid over a nonlinearly stretching surface
    • R. Cortell Similarity solutions for flow and heat transfer of a quiescent fluid over a nonlinearly stretching surface J. Mater. Process. Technol. 203 2008 176 183
    • (2008) J. Mater. Process. Technol. , vol.203 , pp. 176-183
    • Cortell, R.1
  • 16
    • 38049036329 scopus 로고    scopus 로고
    • Mixed convection flow of a micropolar fluid over a non-linearly stretching sheet
    • T. Hayat, Z. Abbas, and T. Javed Mixed convection flow of a micropolar fluid over a non-linearly stretching sheet Phys. Lett. A 372 2008 637 647
    • (2008) Phys. Lett. A , vol.372 , pp. 637-647
    • Hayat, T.1    Abbas, Z.2    Javed, T.3
  • 17
    • 77958007320 scopus 로고    scopus 로고
    • Falkner-Skan equation for flow past a stretching surface with suction or blowing: Analytical solutions
    • N. Afzal Falkner-Skan equation for flow past a stretching surface with suction or blowing: analytical solutions Appl. Math. Comput. 217 6 2010 2724 2736
    • (2010) Appl. Math. Comput. , vol.217 , Issue.6 , pp. 2724-2736
    • Afzal, N.1
  • 18
    • 0038193341 scopus 로고
    • Liquid film on an unsteady stretching sheet
    • C.Y. Wang 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
  • 19
    • 33748030110 scopus 로고    scopus 로고
    • Viscous flow due to a shrinking sheet
    • M. Miklavcic, and C.Y. Wang 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
  • 20
    • 43249115375 scopus 로고    scopus 로고
    • Stagnation flow towards a shrinking sheet
    • C.Y. Wang Stagnation flow towards a shrinking sheet Int. J. Non-Linear Mech. 43 2008 377 382
    • (2008) Int. J. Non-Linear Mech. , vol.43 , pp. 377-382
    • Wang, C.Y.1
  • 21
    • 67650291280 scopus 로고    scopus 로고
    • On the analytical solution of axisymmetric stagnation flow towards a shrinking sheet
    • M. Rahimpour, S.R. Mohebpour, A. Kimiaeifar, and G.H. Bagheri On the analytical solution of axisymmetric stagnation flow towards a shrinking sheet Int. J. Mech. 2 2008 1 10
    • (2008) Int. J. Mech. , vol.2 , pp. 1-10
    • Rahimpour, M.1    Mohebpour, S.R.2    Kimiaeifar, A.3    Bagheri, G.H.4
  • 22
    • 55649105432 scopus 로고    scopus 로고
    • A new solution branch for the Blasius equation: A shrinking sheet problem
    • TG. Fang, W. Liang, and C.F. Lee A new solution branch for the Blasius equation: a shrinking sheet problem Comput. Math. Appl. 56 2008 3088 3095
    • (2008) Comput. Math. Appl. , vol.56 , pp. 3088-3095
    • Fang, T.G.1    Liang, W.2    Lee, C.F.3
  • 23
    • 59849091183 scopus 로고    scopus 로고
    • Closed-form exact solution of MHD viscous flow over a shrinking sheet
    • TG. Fang, and J. Zhang Closed-form exact solution of MHD viscous flow over a shrinking sheet Commun. Non-linear Sci. Numer. Simul. 14 2009 2853 2857
    • (2009) Commun. Non-linear Sci. Numer. Simul. , vol.14 , pp. 2853-2857
    • Fang, T.G.1    Zhang, J.2
  • 24
    • 72849146251 scopus 로고    scopus 로고
    • Thermal boundary layers over a shrinking sheet: An analytical solution
    • TG. Fang, and J. Zhang Thermal boundary layers over a shrinking sheet: an analytical solution Acta Mech. 209 2010 325 343
    • (2010) Acta Mech. , vol.209 , pp. 325-343
    • Fang, T.G.1    Zhang, J.2
  • 25
    • 77954789259 scopus 로고    scopus 로고
    • Unsteady shrinking sheet with mass transfer in a rotating fluid
    • 10.1002/fld.2325
    • F.M. Ali, R. Nazar, N.M. Arifin, and I. Pop Unsteady shrinking sheet with mass transfer in a rotating fluid Int. J. Numer. Meth. Fluids 2010 10.1002/fld.2325
    • (2010) Int. J. Numer. Meth. Fluids
    • Ali, F.M.1    Nazar, R.2    Arifin, N.M.3    Pop, I.4
  • 26
    • 77953131326 scopus 로고    scopus 로고
    • Existence results and numerical simulation of magnetohydrodynamic viscous flow over a shrinking sheet with suction
    • F.T. Akyildiz, and D.A. Siginer Existence results and numerical simulation of magnetohydrodynamic viscous flow over a shrinking sheet with suction Math. Comput. Model. 52 2010 346 354
    • (2010) Math. Comput. Model. , vol.52 , pp. 346-354
    • Akyildiz, F.T.1    Siginer, D.A.2
  • 27
    • 69049095985 scopus 로고    scopus 로고
    • Simple non-perturbative solution for MHD viscous flow due to a shrinking sheet
    • N.F.M. Noor, S.A. Kechil, and I. Hashim Simple non-perturbative solution for MHD viscous flow due to a shrinking sheet Commun. Nonlinear Sci. Numer. Simul. 15 2010 144 148
    • (2010) Commun. Nonlinear Sci. Numer. Simul. , vol.15 , pp. 144-148
    • Noor, N.F.M.1    Kechil, S.A.2    Hashim, I.3
  • 28
    • 62949153722 scopus 로고    scopus 로고
    • The application of homotopy analysis method for MHD viscous flow due to a shrinking sheet
    • M. Sajid, and T. Hayat The application of homotopy analysis method for MHD viscous flow due to a shrinking sheet Chaos, Solitons Fractals 39 2009 1317 1323
    • (2009) Chaos, Solitons Fractals , vol.39 , pp. 1317-1323
    • Sajid, M.1    Hayat, T.2
  • 29
    • 77958021393 scopus 로고    scopus 로고
    • On a perturbation treatment of a model for MHD viscous flow
    • F.M. Fernández On a perturbation treatment of a model for MHD viscous flow Appl. Math. Comput. 217 6 2010 2307 2310
    • (2010) Appl. Math. Comput. , vol.217 , Issue.6 , pp. 2307-2310
    • Fernández, F.M.1
  • 30
    • 77954770350 scopus 로고    scopus 로고
    • MHD viscous flow and heat transfer induced by a permeable shrinking sheet with prescribed heat flux
    • F. MD. Ali, R. Nazar, and N. MD. Arifin MHD viscous flow and heat transfer induced by a permeable shrinking sheet with prescribed heat flux WSEAS Trans. Math. 5 9 2010 365 375
    • (2010) WSEAS Trans. Math. , vol.5 , Issue.9 , pp. 365-375
    • Ali, F.M.D.1    Nazar, R.2    Arifin, N.M.D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.