메뉴 건너뛰기




Volumn 16, Issue 1, 2006, Pages 59-75

On boundary permeation in navier-stokes and second grade incompressible fluids

Author keywords

Dynamic boundary conditions; Incompressible viscous fluids

Indexed keywords


EID: 32644446791     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202506001054     Document Type: Article
Times cited : (6)

References (20)
  • 2
    • 78149488189 scopus 로고
    • Boundary conditions at a natural permeable wall
    • G. S. Beavers and D. D. Joseph, Boundary conditions at a natural permeable wall, J. Fluid Mech. 30 (1967) 197-207.
    • (1967) J. Fluid Mech. , vol.30 , pp. 197-207
    • Beavers, G.S.1    Joseph, D.D.2
  • 3
    • 0007939534 scopus 로고
    • Constrainte sur une paroi en contacte avec un fluide visqueux classique, un fluide de Stokes, un fluide de Coleman-Noll
    • R. Berker, Constrainte sur une paroi en contacte avec un fluide visqueux classique, un fluide de Stokes, un fluide de Coleman-Noll, C. R. Acad. Sci. Paris 258 (1964) 5144-5147.
    • (1964) C. R. Acad. Sci. Paris , vol.258 , pp. 5144-5147
    • Berker, R.1
  • 4
    • 0024933050 scopus 로고
    • The effect of an additional boundary condition on the plane creeping flow of a second-order fluid
    • P. Bourgin and J. A. Tichy, The effect of an additional boundary condition on the plane creeping flow of a second-order fluid, Int. J. Non-Linear Mech. 24 (1989) 561-569.
    • (1989) Int. J. Non-Linear Mech. , vol.24 , pp. 561-569
    • Bourgin, P.1    Tichy, J.A.2
  • 5
    • 0016013907 scopus 로고
    • Thermodynamics, stability and boundedness of fluids of complexity 2 and fluids of second grade
    • J. E. Dunn and R. L. Fosdick, Thermodynamics, stability and boundedness of fluids of complexity 2 and fluids of second grade, Arch. Rat. Mech. Anal. 56 (1974) 191-252.
    • (1974) Arch. Rat. Mech. Anal. , vol.56 , pp. 191-252
    • Dunn, J.E.1    Fosdick, R.L.2
  • 6
    • 0029289811 scopus 로고
    • Fluids of differential type: Critical review and thermodynamic analysis
    • J. E. Dunn and K. R. Rajagopal, Fluids of differential type: Critical review and thermodynamic analysis, Int. J. Engrg. Sci. 33 (1995) 689-729.
    • (1995) Int. J. Engrg. Sci. , vol.33 , pp. 689-729
    • Dunn, J.E.1    Rajagopal, K.R.2
  • 7
    • 0018681758 scopus 로고
    • Anomalous features in the model of "second order fluids"
    • R. L. Fosdick and K. R. Rajagopal, Anomalous features in the model of "second order fluids", Arch. Rat. Mech. Anal. 70 (1978) 145-152.
    • (1978) Arch. Rat. Mech. Anal. , vol.70 , pp. 145-152
    • Fosdick, R.L.1    Rajagopal, K.R.2
  • 8
    • 21344490495 scopus 로고
    • Existence and uniqueness of classical solutions of the equations of motion for second grade fluids
    • G. P. Galdi, M. Grobbelaar van Dalsen and N. Sauer, Existence and uniqueness of classical solutions of the equations of motion for second grade fluids, Arch. Rat. Mech. Anal. 124 (1993) 221-237.
    • (1993) Arch. Rat. Mech. Anal. , vol.124 , pp. 221-237
    • Galdi, G.P.1    Van Grobbelaar Dalsen, M.2    Sauer, N.3
  • 9
    • 0041153545 scopus 로고
    • Existence and uniqueness of solutions of the equations of motion for a fluid of second grade with non-homogeneous boundary conditions
    • G. P. Galdi, M. Grobbelaar van Dalsen and N. Sauer, Existence and uniqueness of solutions of the equations of motion for a fluid of second grade with non-homogeneous boundary conditions, Int. J. Non-Linear Mech. 3 (1995) 701-709.
    • (1995) Int. J. Non-Linear Mech. , vol.3 , pp. 701-709
    • Galdi, G.P.1    Van Grobbelaar Dalsen, M.2    Sauer, N.3
  • 10
    • 21844522803 scopus 로고
    • Further existence results for classical solutions for the equations of a second grade fluid
    • G. P. Galdi and A. Sequeira, Further existence results for classical solutions for the equations of a second grade fluid, Arch. Rat. Mech. Anal. 128 (1994) 297-312.
    • (1994) Arch. Rat. Mech. Anal. , vol.128 , pp. 297-312
    • Galdi, G.P.1    Sequeira, A.2
  • 13
    • 0021127642 scopus 로고
    • An exact solution for the flow of a non-Newtonian fluid past an infinite porous plate
    • K. R. Rajagopal and A. S. Gupta, An exact solution for the flow of a non-Newtonian fluid past an infinite porous plate, Meccanica 9 (1984) 158-160.
    • (1984) Meccanica , vol.9 , pp. 158-160
    • Rajagopal, K.R.1    Gupta, A.S.2
  • 14
    • 0002230177 scopus 로고
    • Some remarks on boundary conditions for flows of fluids of the differential type
    • Hemisphere Press
    • K. R. Rajagopal and P. N. Kaloni, Some remarks on boundary conditions for flows of fluids of the differential type, in Continuum Mechanics and its Applications (Hemisphere Press, 1989).
    • (1989) Continuum Mechanics and Its Applications
    • Rajagopal, K.R.1    Kaloni, P.N.2
  • 15
    • 0000762280 scopus 로고
    • On boundary conditions for fluids of the differential type
    • ed. A. Sequiera, Plenum Press
    • K. R. Rajagopal, On boundary conditions for fluids of the differential type, in Navier - Stokes Equations and Related Nonlinear Problems, ed. A. Sequiera, (Plenum Press, 1995), pp. 273-278.
    • (1995) Navier - Stokes Equations and Related Nonlinear Problems , pp. 273-278
    • Rajagopal, K.R.1
  • 16
    • 0004254143 scopus 로고
    • Series on Advances in Mathematics for Applied Sciences, World Scientific
    • K. R. Rajagopal and L. Tao, Mechanics of Mixtures, Series on Advances in Mathematics for Applied Sciences, Vol. 35 (World Scientific, 1995).
    • (1995) Mechanics of Mixtures , vol.35
    • Rajagopal, K.R.1    Tao, L.2
  • 17
    • 24044547388 scopus 로고    scopus 로고
    • Divergence-free solutions of Poisson-like equations
    • N. Sauer, Divergence-free solutions of Poisson-like equations, J. Math. Fluid Mech. 7 (2005) 405-412.
    • (2005) J. Math. Fluid Mech. , vol.7 , pp. 405-412
    • Sauer, N.1
  • 18
    • 0141464559 scopus 로고
    • Eigenvalue problems with the spectral parameter also in the boundary condition
    • N. Sauer and A. J. van der Merwe, Eigenvalue problems with the spectral parameter also in the boundary condition, Quaest. Math. 5 (1982) 1-27.
    • (1982) Quaest. Math. , vol.5 , pp. 1-27
    • Sauer, N.1    Van Der Merwe, A.J.2
  • 19
    • 0000119455 scopus 로고
    • On the theories of the internal friction of fluids in motion, and of the equilibrium and motion of elastic solids
    • G. G. Stokes, On the theories of the internal friction of fluids in motion, and of the equilibrium and motion of elastic solids, Trans. Cambridge Phil. Soc. 8 (1845) 287 ff.
    • (1845) Trans. Cambridge Phil. Soc. , vol.8
    • Stokes, G.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.