메뉴 건너뛰기




Volumn 203, Issue 1-2, 2009, Pages 13-21

Falkner-Skan flows past moving boundaries: An exactly solvable case

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGING CHANNELS; CRITICAL VALUES; DUAL SOLUTIONS; EXACT ANALYTICAL SOLUTIONS; FALKNER-SKAN FLOWS; FLOW REGIMES; FREE-STREAM VELOCITIES; HYPERBOLIC FUNCTIONS; MECHANICAL FEATURES; MOVING BOUNDARIES; SOLVABLE CASE; STRETCHING VELOCITIES;

EID: 58849127781     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-008-0031-9     Document Type: Article
Times cited : (16)

References (30)
  • 1
    • 0022076328 scopus 로고
    • Skin friction and heat transfer on a continuous surface moving in a parallel free stream
    • T.A. Abdelhafez 1985 Skin friction and heat transfer on a continuous surface moving in a parallel free stream Int. J. Heat Mass Transf. 28 1234 1237
    • (1985) Int. J. Heat Mass Transf. , vol.28 , pp. 1234-1237
    • Abdelhafez, T.A.1
  • 3
    • 13844308720 scopus 로고    scopus 로고
    • Friction drag resulting from the simultaneous imposed motions of a freestream and its bounding surface
    • J.P. Abraham E.M. Sparrow 2005 Friction drag resulting from the simultaneous imposed motions of a freestream and its bounding surface Int. J. Heat Fluid Flow 26 289 295
    • (2005) Int. J. Heat Fluid Flow , vol.26 , pp. 289-295
    • Abraham, J.P.1    Sparrow, E.M.2
  • 4
    • 0037411211 scopus 로고    scopus 로고
    • Momentum transfer ort on power law stretching plate with free stream pressure gradient
    • N. Afzal 2003 Momentum transfer ort on power law stretching plate with free stream pressure gradient Int. J. Eng. Sci. 41 1197 1207
    • (2003) Int. J. Eng. Sci. , vol.41 , pp. 1197-1207
    • Afzal, N.1
  • 5
    • 0027656688 scopus 로고
    • Momentum and heat transport on a continuous flat surface moving in a parallel stream
    • N. Afzal A. Badaruddin A.A. Elgarvi 1993 Momentum and heat transport on a continuous flat surface moving in a parallel stream Int. J. Heat Mass Transf. 36 3399 3403
    • (1993) Int. J. Heat Mass Transf. , vol.36 , pp. 3399-3403
    • Afzal, N.1    Badaruddin, A.2    Elgarvi, A.A.3
  • 6
    • 34249651964 scopus 로고    scopus 로고
    • Degeneracy in the Blasius problem
    • F. Ahmad 2007 Degeneracy in the Blasius problem Electron. J. Diff. Eqs. 79 1 8
    • (2007) Electron. J. Diff. Eqs. , vol.79 , pp. 1-8
    • Ahmad, F.1
  • 7
    • 0017982184 scopus 로고
    • Some singular, nonlinear differential equations arising in boundary layer theory
    • A. Callegari A. Nachman 1978 Some singular, nonlinear differential equations arising in boundary layer theory J. Math. Anal. Appl. 64 96 105
    • (1978) J. Math. Anal. Appl. , vol.64 , pp. 96-105
    • Callegari, A.1    Nachman, A.2
  • 8
    • 0001520256 scopus 로고
    • Some approximate solutions of the boundary layer equations
    • V.M. Falkner S.W. Skan 1931 Some approximate solutions of the boundary layer equations Phil. Mag. 12 865 896
    • (1931) Phil. Mag. , vol.12 , pp. 865-896
    • Falkner, V.M.1    Skan, S.W.2
  • 9
    • 0010685574 scopus 로고
    • On backward boundary layers and flow in converging passages
    • S. Goldstein 1965 On backward boundary layers and flow in converging passages J. Fluid Mech. 21 33 45
    • (1965) J. Fluid Mech. , vol.21 , pp. 33-45
    • Goldstein, S.1
  • 10
    • 0022663801 scopus 로고
    • Existence and non-uniqueness of similarity solutions of a boundary-layer problem
    • M.Y. Hussaini W.D. Lakin 1986 Existence and non-uniqueness of similarity solutions of a boundary-layer problem Q. J. Mech. Appl. Math. 39 15 24
    • (1986) Q. J. Mech. Appl. Math. , vol.39 , pp. 15-24
    • Hussaini, M.Y.1    Lakin, W.D.2
  • 11
    • 0023400575 scopus 로고
    • On similarity solutions of a boundary layer problem with an upstream moving wall
    • M.Y. Hussaini W.D. Lakin A. Nachman 1987 On similarity solutions of a boundary layer problem with an upstream moving wall SIAM J. Appl. Math. 47 699 709
    • (1987) SIAM J. Appl. Math. , vol.47 , pp. 699-709
    • Hussaini, M.Y.1    Lakin, W.D.2    Nachman, A.3
  • 12
    • 34848923849 scopus 로고    scopus 로고
    • Boundary layers in the stagnation-point flow toward a stretching vertical sheet
    • A. Ishak R. Nazar I. Pop 2006 Boundary layers in the stagnation-point flow toward a stretching vertical sheet Meccanica 41 509 518
    • (2006) Meccanica , vol.41 , pp. 509-518
    • Ishak, A.1    Nazar, R.2    Pop, I.3
  • 13
    • 84883460923 scopus 로고
    • A method for integrating the boundary-layer equations through a region of reverse flow
    • J.B. Klemp A.A. Acrivos 1972 A method for integrating the boundary-layer equations through a region of reverse flow J. Fluid Mech. 53 177 199
    • (1972) J. Fluid Mech. , vol.53 , pp. 177-199
    • Klemp, J.B.1    Acrivos, A.A.2
  • 14
    • 0016901105 scopus 로고
    • A moving-wall boundary layer with reverse flow
    • J.B. Klemp A.A. Acrivos 1976 A moving-wall boundary layer with reverse flow J. Fluid Mech. 76 363 381
    • (1976) J. Fluid Mech. , vol.76 , pp. 363-381
    • Klemp, J.B.1    Acrivos, A.A.2
  • 15
    • 0028320272 scopus 로고
    • Flow and heat transfer of plane surfaces moving in parallel and reversely to the free stream
    • H.-T. Lin S.-F. Huang 1994 Flow and heat transfer of plane surfaces moving in parallel and reversely to the free stream Int. J. Heat Mass Transf. 37 333 336
    • (1994) Int. J. Heat Mass Transf. , vol.37 , pp. 333-336
    • Lin, H.-T.1    Huang, S.-F.2
  • 16
    • 34249687109 scopus 로고    scopus 로고
    • Backward boundary layer heat transfer in a converging channel
    • E. Magyari 2007 Backward boundary layer heat transfer in a converging channel Fluid Dyn. Res. 39 493 504
    • (2007) Fluid Dyn. Res. , vol.39 , pp. 493-504
    • Magyari, E.1
  • 17
    • 0036600844 scopus 로고    scopus 로고
    • Heat transfer in stagnation-point flow towards a stretching sheet
    • T.R. Mahapatra A.S. Gupta 2002 Heat transfer in stagnation-point flow towards a stretching sheet Heat Mass Transf. 38 517 521
    • (2002) Heat Mass Transf. , vol.38 , pp. 517-521
    • Mahapatra, T.R.1    Gupta, A.S.2
  • 19
    • 3142609569 scopus 로고    scopus 로고
    • Unsteady boundary layer flow in the region of the stagnation point on a stretching sheet
    • R. Nazar N. Amin D. Filip I. Pop 2004 Unsteady boundary layer flow in the region of the stagnation point on a stretching sheet Int. J. Eng. Sci. 42 1241 1253
    • (2004) Int. J. Eng. Sci. , vol.42 , pp. 1241-1253
    • Nazar, R.1    Amin, N.2    Filip, D.3    Pop, I.4
  • 20
    • 1842715696 scopus 로고    scopus 로고
    • Unsteady mixed convection boundary layer flow near the stagnation point on a vertical surface in a porous medium
    • R. Nazar N. Amin I. Pop 2004 Unsteady mixed convection boundary layer flow near the stagnation point on a vertical surface in a porous medium Int. J. Heat Mass Transf. 47 2681 2688
    • (2004) Int. J. Heat Mass Transf. , vol.47 , pp. 2681-2688
    • Nazar, R.1    Amin, N.2    Pop, I.3
  • 22
    • 84980163091 scopus 로고
    • Zur näherungsweisen Integration der Differentialgleichung der laminaren Grenzschicht
    • K. Pohlhausen 1921 Zur näherungsweisen Integration der Differentialgleichung der laminaren Grenzschicht J. Appl. Math. Mech. (ZAMM) 1 252 268
    • (1921) J. Appl. Math. Mech. (ZAMM) , vol.1 , pp. 252-268
    • Pohlhausen, K.1
  • 24
    • 0012645542 scopus 로고
    • Multiple solutions of the Falkner-Skan equation for flow past a stretching boundary
    • N. Riley P.D. Weidman 1989 Multiple solutions of the Falkner-Skan equation for flow past a stretching boundary SIAM J. Appl. Math. 49 1350 1358
    • (1989) SIAM J. Appl. Math. , vol.49 , pp. 1350-1358
    • Riley, N.1    Weidman, P.D.2
  • 26
    • 18444377413 scopus 로고    scopus 로고
    • Universal solution for the streamwise variation of the temperature of a moving sheet in the presence of a moving fluid
    • E.M. Sparrow J.P. Abraham 2005 Universal solution for the streamwise variation of the temperature of a moving sheet in the presence of a moving fluid Int. J. Heat Mass Transf. 48 3047 3056
    • (2005) Int. J. Heat Mass Transf. , vol.48 , pp. 3047-3056
    • Sparrow, E.M.1    Abraham, J.P.2
  • 27
    • 0008298047 scopus 로고
    • Die Lösung der Blasiusschen Grenzschichtdifferentialgleichung
    • J. Steinheuer 1968 Die Lösung der Blasiusschen Grenzschichtdifferentialgleichung Abhandlg. der Braunschweigischen Wiss. Ges. 20 96 125
    • (1968) Abhandlg. der Braunschweigischen Wiss. Ges. , vol.20 , pp. 96-125
    • Steinheuer, J.1
  • 28
    • 33747331317 scopus 로고    scopus 로고
    • The effect of transpiration on self-similar boundary layer flow over moving surfaces
    • P.D. Weidman D.G. Kubitschek A.M.J. Davis 2006 The effect of transpiration on self-similar boundary layer flow over moving surfaces Int. J. Eng. Sci 44 730 737
    • (2006) Int. J. Eng. Sci , vol.44 , pp. 730-737
    • Weidman, P.D.1    Kubitschek, D.G.2    Davis, A.M.J.3
  • 29
    • 58849167568 scopus 로고    scopus 로고
    • Crocco variable formulation for uniform shear flow over a stretching surface with transpiration: Multiple solutions and stability
    • Online First
    • Weidman, P.D., Davis, A.M.J., Kubitschek, D.G.: Crocco variable formulation for uniform shear flow over a stretching surface with transpiration: multiple solutions and stability. J. Appl. Math. Phys. (ZAMP), Online First (2006)
    • (2006) J. Appl. Math. Phys. (ZAMP)
    • Weidman, P.D.1    Davis, A.M.J.2    Kubitschek, D.G.3
  • 30
    • 0001589076 scopus 로고
    • On the differential equations of the simplest boundary-layer problems
    • H. Weyl 1942 On the differential equations of the simplest boundary-layer problems Ann. Math. 43 381 407
    • (1942) Ann. Math. , vol.43 , pp. 381-407
    • Weyl, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.