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Volumn 27, Issue 6, 2008, Pages 678-683

Similarity stagnation point solutions of the Navier-Stokes equations - review and extension

Author keywords

Navier Stokes; Similarity solutions; Slip; Stagnation flow

Indexed keywords

DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); FLUID DYNAMICS; FLUID MECHANICS; NONLINEAR EQUATIONS; SUBMARINE PIPELINES; VISCOUS FLOW;

EID: 50849136512     PISSN: 09977546     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechflu.2007.11.002     Document Type: Article
Times cited : (65)

References (54)
  • 1
    • 0000201004 scopus 로고
    • Exact solutions of the steady-state Navier-Stokes equations
    • Wang C.Y. Exact solutions of the steady-state Navier-Stokes equations. Annu. Rev. Fluid Mech. 23 (1991) 159-177
    • (1991) Annu. Rev. Fluid Mech. , vol.23 , pp. 159-177
    • Wang, C.Y.1
  • 6
    • 0000960029 scopus 로고
    • Die Grenzschicht an einem in den gleichformingen Flussigkeitsstrom eingetauchten graden Kreiszylinder
    • Hiemenz K. Die Grenzschicht an einem in den gleichformingen Flussigkeitsstrom eingetauchten graden Kreiszylinder. Dinglers Polytech. J. 326 (1911) 321-324
    • (1911) Dinglers Polytech. J. , vol.326 , pp. 321-324
    • Hiemenz, K.1
  • 7
    • 33845899312 scopus 로고
    • A note on the existence of a solution of the Falkner-Skan equation
    • Tam K.K. A note on the existence of a solution of the Falkner-Skan equation. Can. Math. Bull. 13 (1970) 125-127
    • (1970) Can. Math. Bull. , vol.13 , pp. 125-127
    • Tam, K.K.1
  • 8
    • 84976032101 scopus 로고
    • On the uniqueness of solutions of the Falkner-Skan equation
    • Craven A.H., and Peletier L.A. On the uniqueness of solutions of the Falkner-Skan equation. Mathematika 19 (1972) 129-133
    • (1972) Mathematika , vol.19 , pp. 129-133
    • Craven, A.H.1    Peletier, L.A.2
  • 9
    • 0003361634 scopus 로고
    • Two-dimensional boundary layers
    • Rosenhead L. (Ed), Oxford University Press, Oxford (Chapter 5)
    • Jones C.W., and Watson E.J. Two-dimensional boundary layers. In: Rosenhead L. (Ed). Laminar Boundary Layers (1963), Oxford University Press, Oxford (Chapter 5)
    • (1963) Laminar Boundary Layers
    • Jones, C.W.1    Watson, E.J.2
  • 10
    • 77956727291 scopus 로고
    • Der Einfluss grosser Zahigkeit bei der Stromung um den Zylinder und um die Kugel
    • Homann F. Der Einfluss grosser Zahigkeit bei der Stromung um den Zylinder und um die Kugel. Z. Angew. Math. Mech. 16 (1936) 153-164
    • (1936) Z. Angew. Math. Mech. , vol.16 , pp. 153-164
    • Homann, F.1
  • 11
    • 0001010521 scopus 로고
    • The boundary layer in three dimensional flow - Part II, The flow near a stagnation point
    • Howarth L. The boundary layer in three dimensional flow - Part II, The flow near a stagnation point. Philos. Mag. Ser. 7 42 (1951) 1433-1440
    • (1951) Philos. Mag. Ser. 7 , vol.42 , pp. 1433-1440
    • Howarth, L.1
  • 12
    • 84931894211 scopus 로고
    • A boundary layer flow at a saddle point of attachment
    • Davey A. A boundary layer flow at a saddle point of attachment. J. Fluid Mech. 10 (1961) 593-610
    • (1961) J. Fluid Mech. , vol.10 , pp. 593-610
    • Davey, A.1
  • 13
    • 0000901801 scopus 로고
    • The viscous flow near a stagnation point when the external flow has uniform vorticity
    • Stuart J.T. The viscous flow near a stagnation point when the external flow has uniform vorticity. J. Aerospace Sci. 26 (1959) 124-125
    • (1959) J. Aerospace Sci. , vol.26 , pp. 124-125
    • Stuart, J.T.1
  • 14
    • 0018324829 scopus 로고
    • Two-dimensional stagnation point flow impinging obliquely on a plane wall
    • Tamada K. Two-dimensional stagnation point flow impinging obliquely on a plane wall. J. Phys. Soc. Jpn. 46 (1979) 310-311
    • (1979) J. Phys. Soc. Jpn. , vol.46 , pp. 310-311
    • Tamada, K.1
  • 15
    • 0022663770 scopus 로고
    • An exact solution of the Navier-Stokes equation which describes non-orthogonal stagnation point flow in two dimensions
    • Dorrepaal J.M. An exact solution of the Navier-Stokes equation which describes non-orthogonal stagnation point flow in two dimensions. J. Fluid Mech. 163 (1986) 141-147
    • (1986) J. Fluid Mech. , vol.163 , pp. 141-147
    • Dorrepaal, J.M.1
  • 16
    • 50849097805 scopus 로고
    • Rotational flow near a forward stagnation point
    • Davey A. Rotational flow near a forward stagnation point. Quart. J. Mech. Appl. Math. 16 (1963) 33-59
    • (1963) Quart. J. Mech. Appl. Math. , vol.16 , pp. 33-59
    • Davey, A.1
  • 17
    • 0001744933 scopus 로고
    • Unsteady viscous flow in the vicinity of a stagnation point
    • Rott N. Unsteady viscous flow in the vicinity of a stagnation point. Quart. Appl. Math. 13 (1956) 444-451
    • (1956) Quart. Appl. Math. , vol.13 , pp. 444-451
    • Rott, N.1
  • 18
    • 84985580871 scopus 로고
    • Axisymmetric stagnation flow towards a moving plate
    • Wang C.Y. Axisymmetric stagnation flow towards a moving plate. AIChE J. 19 (1973) 1080-1081
    • (1973) AIChE J. , vol.19 , pp. 1080-1081
    • Wang, C.Y.1
  • 19
    • 85003293278 scopus 로고
    • Wall shear at a three-dimensional stagnation point with a moving wall
    • Libby P.A. Wall shear at a three-dimensional stagnation point with a moving wall. AIAA J. 12 (1974) 408-409
    • (1974) AIAA J. , vol.12 , pp. 408-409
    • Libby, P.A.1
  • 20
    • 45449125241 scopus 로고
    • Oblique flow onto a growing crystal interface - an exact solution
    • Alexander J.I.D. Oblique flow onto a growing crystal interface - an exact solution. J. Crystal Growth 89 (1988) 251-256
    • (1988) J. Crystal Growth , vol.89 , pp. 251-256
    • Alexander, J.I.D.1
  • 21
    • 0029753118 scopus 로고    scopus 로고
    • Oblique flow impinging on a wall with suction or blowing
    • Labropulu F., Dorrepaal J.M., and Chandna O.P. Oblique flow impinging on a wall with suction or blowing. Acta Mech. 115 (1996) 15-25
    • (1996) Acta Mech. , vol.115 , pp. 15-25
    • Labropulu, F.1    Dorrepaal, J.M.2    Chandna, O.P.3
  • 22
    • 0031136241 scopus 로고    scopus 로고
    • Axisymmetric stagnation-point flow impinging in a transversely oscillating plate with suction
    • Weidman P.D., and Mahalingam S. Axisymmetric stagnation-point flow impinging in a transversely oscillating plate with suction. J. Engrg. Math. 31 (1997) 305-318
    • (1997) J. Engrg. Math. , vol.31 , pp. 305-318
    • Weidman, P.D.1    Mahalingam, S.2
  • 23
    • 0016870338 scopus 로고
    • The existence of multiple solutions for the laminar flow in a uniformly porous channel with suction at both walls
    • Robinson W.A. The existence of multiple solutions for the laminar flow in a uniformly porous channel with suction at both walls. J. Engrg. Math. 10 (1976) 23-40
    • (1976) J. Engrg. Math. , vol.10 , pp. 23-40
    • Robinson, W.A.1
  • 24
    • 0017968605 scopus 로고
    • On the nonunique solutions of laminar flow through a porous tube or channel
    • Skalak F.M., and Wang C.Y. On the nonunique solutions of laminar flow through a porous tube or channel. SIAM J. Appl. Math. 34 (1978) 535-544
    • (1978) SIAM J. Appl. Math. , vol.34 , pp. 535-544
    • Skalak, F.M.1    Wang, C.Y.2
  • 25
    • 20044388376 scopus 로고    scopus 로고
    • Self-similar stagnation point boundary layer flows with suction or injection
    • King J.R., and Cox S.M. Self-similar stagnation point boundary layer flows with suction or injection. Stud. Appl. Math. 115 (2005) 73-107
    • (2005) Stud. Appl. Math. , vol.115 , pp. 73-107
    • King, J.R.1    Cox, S.M.2
  • 27
    • 33745119160 scopus 로고
    • Steady viscous flow between two porous disks
    • Rasmussen H. Steady viscous flow between two porous disks. Z. Angew. Math. Phys. 21 (1970) 187-195
    • (1970) Z. Angew. Math. Phys. , vol.21 , pp. 187-195
    • Rasmussen, H.1
  • 28
    • 0343624697 scopus 로고
    • Radial flow of a viscous, incompressible fluid between two stationary, uniformly porous discs
    • Terrill R.M., and Cornish J.P. Radial flow of a viscous, incompressible fluid between two stationary, uniformly porous discs. J. Appl. Math. Phys. 24 (1973) 676-688
    • (1973) J. Appl. Math. Phys. , vol.24 , pp. 676-688
    • Terrill, R.M.1    Cornish, J.P.2
  • 29
    • 0016561652 scopus 로고
    • Stagnation point viscous flow of an incompressible fluid between porous plates with uniform blowing
    • Chapman T.W., and Bauer G.L. Stagnation point viscous flow of an incompressible fluid between porous plates with uniform blowing. Appl. Sci. Res. 31 (1975) 223-239
    • (1975) Appl. Sci. Res. , vol.31 , pp. 223-239
    • Chapman, T.W.1    Bauer, G.L.2
  • 30
    • 0017114654 scopus 로고
    • Radial flow of a viscous fluid between porous disks
    • Elcrat A.R. Radial flow of a viscous fluid between porous disks. Arch. Ration. Mech. Anal. 61 (1976) 91-96
    • (1976) Arch. Ration. Mech. Anal. , vol.61 , pp. 91-96
    • Elcrat, A.R.1
  • 31
    • 0015999913 scopus 로고
    • Fluid dynamics of the circular porous slider
    • Wang C.Y. Fluid dynamics of the circular porous slider. J. Appl. Mech. 41 (1974) 343-347
    • (1974) J. Appl. Mech. , vol.41 , pp. 343-347
    • Wang, C.Y.1
  • 32
    • 85023623485 scopus 로고
    • Fluid dynamics of a long porous slider
    • Skalak F., and Wang C.Y. Fluid dynamics of a long porous slider. J. Appl. Mech. 42 (1975) 893-894
    • (1975) J. Appl. Mech. , vol.42 , pp. 893-894
    • Skalak, F.1    Wang, C.Y.2
  • 33
    • 0017826983 scopus 로고
    • Fluid dynamics of the elliptic porous slider
    • Watson L.T., Li T.Y., and Wang C.Y. Fluid dynamics of the elliptic porous slider. J. Appl. Mech. 45 (1978) 435-436
    • (1978) J. Appl. Mech. , vol.45 , pp. 435-436
    • Watson, L.T.1    Li, T.Y.2    Wang, C.Y.3
  • 34
    • 0028480292 scopus 로고
    • The effect of viscosity on the height of disks floating above an air table
    • Hinch E.J., and Lemaitre J. The effect of viscosity on the height of disks floating above an air table. J. Fluid Mech. 273 (1994) 313-322
    • (1994) J. Fluid Mech. , vol.273 , pp. 313-322
    • Hinch, E.J.1    Lemaitre, J.2
  • 35
    • 0036537589 scopus 로고    scopus 로고
    • Nonaxisymmetric flow between an air table and a floating disk
    • Cox S.M. Nonaxisymmetric flow between an air table and a floating disk. Phys. Fluids 14 (2002) 1540-1543
    • (2002) Phys. Fluids , vol.14 , pp. 1540-1543
    • Cox, S.M.1
  • 36
    • 0000665683 scopus 로고
    • Axisymmetric stagnation flow on a cylinder
    • Wang C.Y. Axisymmetric stagnation flow on a cylinder. Quart. Appl. Math. 32 (1974) 207-213
    • (1974) Quart. Appl. Math. , vol.32 , pp. 207-213
    • Wang, C.Y.1
  • 37
    • 0018061173 scopus 로고
    • Nonsimilar axisymmetric stagnation flow on a moving cylinder
    • Gorla R.S.R. Nonsimilar axisymmetric stagnation flow on a moving cylinder. Int. J. Engrg. Sci. 16 (1978) 397-400
    • (1978) Int. J. Engrg. Sci. , vol.16 , pp. 397-400
    • Gorla, R.S.R.1
  • 38
    • 0032004493 scopus 로고    scopus 로고
    • Radial stagnation flow on a rotating circular cylinder with uniform transpiration
    • Cunning G.M., Davis A.M.J., and Weidman P.D. Radial stagnation flow on a rotating circular cylinder with uniform transpiration. J. Engrg. Math. 33 (1998) 113-128
    • (1998) J. Engrg. Math. , vol.33 , pp. 113-128
    • Cunning, G.M.1    Davis, A.M.J.2    Weidman, P.D.3
  • 39
    • 0034216272 scopus 로고    scopus 로고
    • Analytical results for a BVP describing radial stagnation flow with transpiration
    • Paullet J.E., and Weidman P.D. Analytical results for a BVP describing radial stagnation flow with transpiration. J. Math. Anal. Appl. 247 (2000) 246-254
    • (2000) J. Math. Anal. Appl. , vol.247 , pp. 246-254
    • Paullet, J.E.1    Weidman, P.D.2
  • 40
    • 21844520624 scopus 로고
    • Axisymmetric stagnation flow converging obliquely on a cylinder
    • Okamoto H. Axisymmetric stagnation flow converging obliquely on a cylinder. J. Phys. Soc. Jpn. 64 (1995) 2714-2717
    • (1995) J. Phys. Soc. Jpn. , vol.64 , pp. 2714-2717
    • Okamoto, H.1
  • 41
    • 3042698117 scopus 로고    scopus 로고
    • Axisymmetric stagnation flow obliquely impinging on a circular cylinder
    • Erratum
    • Weidman P.D., and Putkaradze V. Axisymmetric stagnation flow obliquely impinging on a circular cylinder. Eur. J. Mech. B/Fluids 22 (2003) 123-131 Erratum
    • (2003) Eur. J. Mech. B/Fluids , vol.22 , pp. 123-131
    • Weidman, P.D.1    Putkaradze, V.2
  • 42
    • 26844558147 scopus 로고    scopus 로고
    • Axisymmetric stagnation flow obliquely impinging on a circular cylinder
    • Weidman P.D., and Putkaradze V. Axisymmetric stagnation flow obliquely impinging on a circular cylinder. Eur. J. Mech. B/Fluids 24 (2003) 788-790
    • (2003) Eur. J. Mech. B/Fluids , vol.24 , pp. 788-790
    • Weidman, P.D.1    Putkaradze, V.2
  • 43
    • 0022099242 scopus 로고
    • Stagnation flow on the surface of a quiescent fluid - an exact solution of the Navier-Stokes equations
    • Wang C.Y. Stagnation flow on the surface of a quiescent fluid - an exact solution of the Navier-Stokes equations. Quart. Appl. Math. 43 (1985) 215-223
    • (1985) Quart. Appl. Math. , vol.43 , pp. 215-223
    • Wang, C.Y.1
  • 44
    • 0026788774 scopus 로고
    • Non-orthogonal stagnation flow on the surface of a quiescent fluid - an exact solution of the Navier-Stokes equation
    • Liu T.S. Non-orthogonal stagnation flow on the surface of a quiescent fluid - an exact solution of the Navier-Stokes equation. Quart. Appl. Math. 50 (1992) 39-47
    • (1992) Quart. Appl. Math. , vol.50 , pp. 39-47
    • Liu, T.S.1
  • 45
    • 2942691451 scopus 로고    scopus 로고
    • Stagnation flow towards a stretching surface
    • Mahapatra T.R., and Gupta A.S. Stagnation flow towards a stretching surface. Can. J. Chem. Engrg. 81 (2003) 258-263
    • (2003) Can. J. Chem. Engrg. , vol.81 , pp. 258-263
    • Mahapatra, T.R.1    Gupta, A.S.2
  • 46
    • 43249100542 scopus 로고
    • Impinging stagnation flows
    • Wang C.Y. Impinging stagnation flows. Phys. Fluids 30 (1987) 915-917
    • (1987) Phys. Fluids , vol.30 , pp. 915-917
    • Wang, C.Y.1
  • 47
    • 1642521026 scopus 로고    scopus 로고
    • Direct contact condensation in Hiemenz flow boundary layers
    • Davis J., and Yadigaroglu G. Direct contact condensation in Hiemenz flow boundary layers. Int. J. Heat Mass Transfer 47 (2004) 1863-1875
    • (2004) Int. J. Heat Mass Transfer , vol.47 , pp. 1863-1875
    • Davis, J.1    Yadigaroglu, G.2
  • 48
    • 0013633125 scopus 로고    scopus 로고
    • Oblique two fluid stagnation point flows
    • Tilley B.S., and Weidman P.D. Oblique two fluid stagnation point flows. Eur. J. Mech. B/Fluids 17 (1998) 205-217
    • (1998) Eur. J. Mech. B/Fluids , vol.17 , pp. 205-217
    • Tilley, B.S.1    Weidman, P.D.2
  • 49
    • 0038607011 scopus 로고    scopus 로고
    • Flow over a surface with parallel grooves
    • Wang C.Y. Flow over a surface with parallel grooves. Phys. Fluids 15 (2003) 1114-1121
    • (2003) Phys. Fluids , vol.15 , pp. 1114-1121
    • Wang, C.Y.1
  • 52
    • 0001489148 scopus 로고
    • Sur les lois du movement des fluides
    • Navier C.L.M. Sur les lois du movement des fluides. C. R. Acad. Sci. 6 (1827) 389-440
    • (1827) C. R. Acad. Sci. , vol.6 , pp. 389-440
    • Navier, C.L.M.1
  • 53
    • 0037283149 scopus 로고    scopus 로고
    • Stagnation flow with slip: Exact solutions of the Navier-Stokes equations
    • Wang C.Y. Stagnation flow with slip: Exact solutions of the Navier-Stokes equations. Z. Angew. Math. Phys. 54 (2003) 184-189
    • (2003) Z. Angew. Math. Phys. , vol.54 , pp. 184-189
    • Wang, C.Y.1
  • 54
    • 2942711652 scopus 로고    scopus 로고
    • An elementary approach to the analysis of exact solutions for the Navier-Stokes stagnation flows with slips
    • Ishimura N., and Ushijima T.K. An elementary approach to the analysis of exact solutions for the Navier-Stokes stagnation flows with slips. Arch. Math. 82 (2004) 432-441
    • (2004) Arch. Math. , vol.82 , pp. 432-441
    • Ishimura, N.1    Ushijima, T.K.2


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